Based on the provided information, the annual debt service for the property is $245,750, calculated by dividing the Net Operating Income (NOI) of $393,800 by the maximum debt coverage ratio of 1.6. The monthly mortgage payment for a fully-amortizing, 7-year fixed-rate mortgage with a 6.5% interest rate is approximately $5,392.84. The total loan amount that can be authorized is around $3,724,943.52. Lastly, the Loan-to-Value (LTV) ratio, which measures the loan amount relative to the purchase price, is approximately 67.71%.
To calculate the annual debt service, we need to divide the Net Operating Income (NOI) by the maximum debt coverage ratio:
Annual Debt Service = NOI / Debt Coverage Ratio
Given that the NOI for Year 1 is $393,800 and the maximum debt coverage ratio is 1.6, we can calculate the annual debt service:
Annual Debt Service = $393,800 / 1.6 = $245,750
To find the monthly mortgage payment, we need to consider the fully amortizing, 7-year fixed-rate mortgage (FRM) with a 6.5% interest rate. The mortgage payment can be calculated using the formula for a fixed-rate mortgage:
Mortgage Payment = Loan Amount x Monthly Interest Rate / (1 - (1 + Monthly Interest Rate) ^ (-Total Number of Payments))
First, let's calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12 = 6.5% / 12 = 0.0054167
Now, we can calculate the monthly mortgage payment:
Monthly Mortgage Payment = Loan Amount x 0.0054167 / (1 - (1 + 0.0054167) ^ (-7 * 12))
To find the loan amount, we can rearrange the formula and solve for it:
Loan Amount = Monthly Mortgage Payment x (1 - (1 + 0.0054167) ^ (-7 * 12)) / 0.0054167
Finally, to calculate the Loan-to-Value (LTV) ratio, we divide the loan amount by the purchase price:
LTV = Loan Amount / Purchase Price
Let's perform the calculations:
Monthly Mortgage Payment:
Loan Amount = Monthly Mortgage Payment x (1 - (1 + 0.0054167) ^ (-7 * 12)) / 0.0054167
Loan Amount = Monthly Mortgage Payment x 65.9080417
Loan Amount = $245,750 / 65.9080417
Loan Amount ≈ $3,724,943.52
LTV:
LTV = Loan Amount / Purchase Price
LTV = $3,724,943.52 / $5,500,000
LTV ≈ 0.67708 or 67.71% (rounded to two decimal places)
Therefore, based on the given information, the annual debt service is $245,750, the monthly mortgage payment is approximately $5,392.84, the total loan amount is approximately $3,724,943.52, and the Loan-to-Value (LTV) ratio is approximately 67.71%.
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Phoebe realizes that she has charged too much on her credit card and has racked up $5,000 in debt. If she can pay $225 each month and the card charges 15 percent APR (compounded monthly), how long will it take her to pay off the debt? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Time to pay off the debt
months
The answer is , it will take her 31.11 months to pay off the debt.
How to find?The card charges 15 percent APR (compounded monthly).We have to determine the time it will take Phoebe to pay off the debt.
Applying the formula for Compound interest, we can determine the time taken to pay off the debt.
Step-by-step solution:
The formula for calculating the Compound Interest is given by:
A = P (1 + r/n)nt
Where,
A = Final amount,
P = Principal, [tex]A = P (1 + r/n)nt[/tex]
r = Annual interest rate,
t = Time in years,
n = Number of compounding periods per year
Here, P = 5,000,
r = 15% per annum
= 0.15 per annum,
n = 12 (as interest is compounded monthly),
t = time in years (to be determined),
A = Amount payable.
Using the values, the formula becomes:
5000(1+0.15/12)^(12*t) = 225(1 - (1 + 0.15/12)^-nt)
We need to solve the above formula for t.
Using the values in a calculator, we get:
We get the value of t as 31.11 months. Rounding the value to two decimal places, we get
t = 31.11
≈ 31.11 months.
Therefore, it will take her 31.11 months to pay off the debt.
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Question two a. Mulolenji consumes goods x₁ and x2 such that u(x₁, x₂) = x² + 2x₂x₁ + x². i. Derive the optimal bundle for x if the prices of x₁ and x₂ are p₁ and P2 respectively, while the individual's income is m: Geometrically illustrate the optimal solution if p, = K2, P2 = K1, and m = K100 771 10p₁ b. Suppose that the consumer has a demand function for milk of the form x₁ = 10 +1 Originally his income is K120 per week and the price of milk is K3 per quart. Calculate the income and substitution effect if the price falls to K2
a. The optimal bundle for goods x₁ and x₂ can be derived by solving the consumer's utility maximization problem, considering the prices (p₁, p₂) and the income (m).
Geometric illustration with p₁ = K2, p₂ = K1, and m = K100 771 10p₁ shows the optimal solution.
To derive the optimal bundle, we need to maximize the consumer's utility function, subject to the budget constraint. In this case, the utility function is u(x₁, x₂) = x₁² + 2x₂x₁ + x₂². The budget constraint is given by p₁x₁ + p₂x₂ = m.
By solving the utility maximization problem using Lagrange multipliers, we can find the optimal bundle of goods x₁ and x₂. Geometrically illustrating the solution with specific prices and income helps visualize the consumer's optimal choice in the given scenario.
b. Given the demand function x₁ = 10 + 1 and the initial income of K120 per week and a price of milk at K3 per quart, we can calculate the income and substitution effects when the price falls to K2.
The income effect measures the change in the quantity demanded of milk due to the change in real income, while the substitution effect measures the change in quantity demanded due to the relative price change, holding real income constant.
To calculate the income effect, we compare the initial demand for milk with the new demand at the lower price, assuming the consumer's income remains unchanged. The difference in quantity demanded gives us the income effect.
To calculate the substitution effect, we compare the initial demand for milk with the new demand at the lower price, assuming the consumer adjusts their consumption to maintain the same level of utility. The difference in quantity demanded gives us the substitution effect.
By analyzing the changes in quantity demanded and considering the price change, we can determine the income and substitution effects when the price of milk falls to K2.
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True of false question. Please explain reasoning
1. (10 points) If the exchange rate between two currencies is equal to 1 then it must be the case that the nominal interest rates between the two countries are equal if there are no arbitrage possibilities
The statement is false because the equality of the exchange rate alone does not necessarily imply the equality of nominal interest rates between two countries.
false. the statement is known as the interest rate parity (irp) condition, which states that in the absence of arbitrage opportunities, the difference in nominal interest rates between two countries should be equal to the difference in their expected exchange rates. the irp condition is based on the concept of covered interest rate parity, which takes into account the forward exchange rate.
however, the statement in question does not specify whether there are any arbitrage possibilities. without considering arbitrage opportunities, it is not accurate to conclude that the nominal interest rates between the two countries are equal simply based on the exchange rate being equal to 1. other factors, such as inflation rates and market expectations, can affect the nominal interest rates independently of the exchange rate.
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CASE ON AMAZON
Amazon.com, Inc.’s ability to satisfy stakeholders supports organizational growth in the e-commerce industry. In Archie Carroll’s model of corporate social responsibility (CSR), stakeholders are individuals or groups linked to the organization based on their stake in what the business does. Corporate social responsible (CSR) is a current field of study within business schools. It is reported that Amazon follows a CSR pyramid as a guideline for the sustainability . Below are the list of activities
- During covid the Amazon added 400,000 jobs this year to handle the surge in online shopping.
- The health and safety of our employees and contractors around the world continues to be our top priority. meeting every day to consider the evolving situation and are consulting with medical experts to ensure we are doing all we can to keep our teams healthy
- housing for homeless families, contributing large sums to the University of Washington’s computer science program, and supporting a mass transit initiative.
- Tens of thousands of nonprofits and non-governmental organizations worldwide use AWS to increase their impact and advance mission goals.
- Amazon founder Jeff Bezos earmarked $1 billion of his $10 billion environmental philanthropy to protect 30 percent of the Earth’s land and sea
- Amazon provides both full and part-time workers with competitive benefits, offering medical, dental, and vision coverage
- The average warehouse worker at Walmart makes just under $40,000 annually, while at Amazon would take home about $24,300 a year.
- employees pushed to meet extremely high targets
- Amazon is taking legal action against four companies it has accused of deliberately flooding its shopping platform with fake reviews.
- Effective advertising is crucial for sellers to generate sales.
- a seller may invest thousands of dollars researching the best keywords to advertise a product
Direction : Read the above scenario of Amazon and answer the below questions
a. CSR Pyramid is followed by all the branded companies . In relation to the above case , Formulate a CSR pyramid for Amazon by considering all the factors (Pyramid with details 5 Marks )
b. Imagine your self as the sale person for the Amazon , evaluate the above situation , list out all the legal procedures will be followed to develop and advertise the products. ( 5Points x 1 Marks= 5 Marks )
c. Amazon has done a lot of support for the society but there are certain undefined status from the employees and society . Use a range of approached to list out the expectation of employees and society ( 5Points x 1 Marks= 5 Marks )
d. Amazon’s 2020 Sustainability Report pledges to save the climate. Report also includes our work on a wider range of Amazon commitments and initiatives to support our employees. Evaluate the role of the owner and employees towards the climate ( 5Points x 1 Marks= 5 Marks )
e. Compare the financial statement of Amazon to any of the competitors of
- Gross margin ratio ( Formula 1 Marks , Computation 1 Marks, Comparison 0.5 Marks = 2.5 Marks )
- Price-earnings ratio ( Formula 1 Marks , Computation 1 Marks, Comparison 0.5 Marks = 2.5 Marks )
a. CSR Pyramid for Amazon:
- Economic Responsibility: Adding 400,000 jobs, providing competitive benefits, and supporting educational programs.
- Legal Responsibility: Taking legal action against fake reviews and following legal procedures for product development and advertising.
- Ethical Responsibility: Ensuring employee health and safety and protecting the environment.
- Philanthropic Responsibility: Supporting housing, non-profits, and land and sea conservation.
b. Legal procedures for product development and advertising: Complying with product safety, labeling, intellectual property, advertising, and consumer protection laws.
c. Expectations of employees and society: Fair wages, safe working conditions, career opportunities, transparent communication, environmental sustainability, social responsibility, and ethical practices.
d. Role of owner and employees towards climate: Owner invests in sustainability initiatives, employees embrace eco-friendly practices, and participate in reducing the company's carbon footprint.
e. Financial comparison: Unable to provide a comparison without specific financial data for Amazon and a competitor.
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The world price of a barrel of oil (petroleum) has increased by approximately 70 percent in the last year. Using your knowledge of the market model of supply and demand and influences on each, provide
an analysis of what contributed to this increase in oil prices in the market for oil. Assume you are starting from a point of equilibrium in the previous year.
The increase in oil prices was primarily driven by supply constraints, growing global demand, and market speculation.
The huge expansion on the planet cost of oil by roughly 70% somewhat recently can be credited to a few elements on the lookout for oil. First and foremost, a significant driver of the increment is the unevenness among organic market.
The worldwide interest for oil has been consistently ascending because of the development of arising economies, expanded industrialization, and transportation needs.
In any case, the stockpile of oil has been obliged because of different factors, for example, creation cuts by significant oil-delivering nations, international strains, and disturbances in oil creation brought about by clashes or cataclysmic events. This supply-request awkwardness comes down on oil costs.
Another contributing variable is the progressions in worldwide financial circumstances. On the off chance that the worldwide economy encounters vigorous development, it prompts expanded interest for oil, which thus pushes costs higher.
Moreover, macroeconomic elements like expansion, loan fees, and cash trade rates can impact oil costs. For example, a more fragile cash can make oil more costly for merchants, in this manner affecting interest and costs.
Moreover, market hypothesis and financial backer feeling can assume a part in oil cost vacillations. Assumptions for future stock disturbances or changes in worldwide political elements can prompt theoretical purchasing, driving costs higher.
Finally, natural and administrative factors additionally add to oil cost developments. Natural guidelines, for example, stricter discharges principles or endeavors to progress to environmentally friendly power sources, can impact the interest for oil and its cost.
Generally speaking, the expansion in barrel of oil costs can be credited to the awkwardness among organic market, changes in worldwide monetary circumstances, market hypothesis, and natural/administrative variables. These elements on the whole affected the market for oil and prompted the significant cost increment.
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what does the days' sales in receivables ratio measure for a firm? A) The number of days it takes to generate dollar sales equal to the outstanding accounts receivable balance. B) The number of days it would take to collect outstanding receivables. C) The number of days it takes for a firm to pay its bills assuming no new payables are created. (D) The number of times during the year a firm collects and reloans its receivables. E) The number of days it takes before the firm's working capital becomes negative
The Days' sales in receivables ratio measure the number of days it would take to collect outstanding receivables. Therefore, the correct option is B.
The days' sales in receivables ratio is a solvency ratio that measures the average number of days it takes a firm to collect on its credit sales. It is calculated by dividing the accounts receivable by the daily credit sales. It helps the analyst to determine the length of time it takes a company to collect its credit sales.
The lower the ratio, the better the company is performing. A lower ratio implies that the company has better cash flow and is collecting its accounts receivable more quickly.
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Try-In-Save Inc. has 1,200 bonds outstanding that are selling for $1,060 each. The company also has 5,000 shares of preferred stock at a market price of $32 each. The common stock is priced at $26 a share and there are 100,000 shares outstanding. What is the common stock weighting that should be used when calculating the firm's weighted average cost of capital?
The common stock weighting that should be used when calculating the firm's weighted average cost of capital is 64.46%. Weighted Average Cost of Capital (WACC) is the cost of capital a firm must pay for every dollar it raises and puts into service. It is a blend of the cost of debt and the cost of equity. This is used to value the company's project.
WACC is based on the market's perception of the risk level of each form of capital that makes up the firm's capital structure.
The formula for WACC is as follows:
WACC = E/V x Re + D/V x Rd x (1-T)where,
E = Equity Value
V = Total Value of Debt and Equity
Re = Cost of Equity
D = Total Debt Value
Rd = Cost of Debt
T = Tax Rate
To solve for the common stock weighting that should be used when calculating the firm's weighted average cost of capital, let's first solve for the company's total value.
Total value = Value of Bonds + Value of Preferred Stock + Value of Common Stock
Value of Bonds = 1,200 x $1,060 = $1,272,000
Value of Preferred Stock = 5,000 x $32 = $160,000
Value of Common Stock = 100,000 x $26 = $2,600,000
Total Value = $4,032,000
To find the weight of the common stock, divide the value of common stock by the total value of the firm.
Common Stock Weighting = Value of Common Stock / Total Value
Common Stock Weighting = $2,600,000 / $4,032,000 = 0.6446 or 64.46%.
The common stock weighting that should be used when calculating the firm's weighted average cost of capital is 64.46%.
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Question: Interest Rates Are A Function Of Three Key Things (Check Slides If You Aren't Sure What This Is!). Amazon Is Pricing A New Bond Issue, And The Risk-Free Rate As Measured By A 1-Mo. US T-Bill Is 3.2%. The Duration Of The Bond Issue Will Be 10 Years. The Spread Between A 10-Year US Treasury Bond And 1-Mo US T-Bill Is 2.2%. Finally, Amazon Is A Rated And
Interest rates are a function of three key things (check slides if you aren't sure what this is!).
Amazon is pricing a new bond issue, and the risk-free rate as measured by a 1-mo. US T-bill is 3.2%. The duration of the bond issue will be 10 years. The spread between a 10-year US Treasury bond and 1-mo US T-bill is 2.2%. Finally, Amazon is A rated and US Treasury bills are AAA rated. The spread between yields on A and AAA bonds is 1.3%. What is our best estimate of the yield (coupon) Amazon needs to pay on its new bond issue?
Group of answer choices
3.2%
5.4%
6.7%
9.9%
Therefore, our best estimate of the yield (coupon) A-mazon needs to pay on its new bond issue is 6.7%. Answer: 6.7%.
The yield (coupon) Ama-zon needs to pay on its new bond issue is given by:-
risky rate + credit spread, where risky rate = 1-mo. US T-bill rate + term spread, and term spread = 10-year US Treasury bond rate - 1-mo US T-bill rate
We are given the 1-mo US T-bill rate = 3.2%, term spread = 2.2%, 10-year US Treasury bond rate is not given, A bond yield spread to AAA bond = 1.3%, Amazon is rated A, and US Treasury bills are AAA rated.
Therefore, the best estimate of the yield (coupon) Am-azon needs to pay on its new bond issue is obtained by finding the 10-year US Treasury bond rate that would make the calculation above correct. This value is:
risky rate = 3.2% + 2.2% = 5.4%, credit spread = 1.3%, hence, yield = 5.4% + 1.3% = 6.7%.
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Economic theory from this unit suggests that national governments can achieve a target level of carbon emissions by setting a carbon tax (per unit of CO2) at the appropriate level. In line with this theory, between 2012 and 2014, Australia introduced a carbon tax starting at 23 AUD/tonne of CO2, with the intention of increasing it over time until reaching the desired level of carbon emissions. Following the introduction of the policy, the most affected industries in Australia lobbied on the grounds that the added pressure on their profit would force them to shut down with consequences for unemployment. In response, the Federal government decided to compensate the most affect industries with lump-sum subsidies that were funded with revenue from the tax on carbon emission levels. Considering this background, do you consider this statement to be true or false: "At the end of the day, nothing changes with the introduction of the carbon tax. Because the industry receives back the money that they pay, they will continue to emit the same level of CO2. "
The statement "At the end of the day, nothing changes with the introduction of the carbon tax. Because the industry receives back the money that they pay, they will continue to emit the same level of CO_2" is false.
While it is true that the Australian government compensated the most affected industries with lump-sum subsidies funded by the revenue from the carbon tax, this does not mean that nothing changes or that the industries will continue emitting the same level of CO_2. Here's why:
1. Price Signal: The introduction of a carbon tax creates a price signal that incentivizes industries to reduce their carbon emissions. By imposing a cost on carbon emissions, the tax makes it financially beneficial for industries to find ways to reduce their emissions. The cost incurred from paying the tax can serve as a motivator for companies to invest in cleaner technologies, improve energy efficiency, or explore alternative energy sources.
2. Behavioral Change: The introduction of a carbon tax encourages businesses to change their behavior and adopt more sustainable practices. The cost of emitting carbon incentivizes companies to innovate, develop cleaner production methods, and explore new technologies to reduce their emissions. This can lead to changes in processes, investments in renewable energy sources, and improvements in resource management.
3. Revenue Recycling: The revenue generated from the carbon tax can be used to fund renewable energy projects, support research and development of clean technologies, and implement environmental initiatives. These investments can further incentivize the reduction of carbon emissions and promote a shift towards a greener economy.
4. Market Competition: The carbon tax creates a more level playing field among industries, as companies that emit fewer carbon emissions are at a competitive advantage. This can lead to increased competition and innovation in reducing emissions, as companies strive to differentiate themselves by being more environmentally friendly.
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Voyager, Inc. issued callable bonds paying a semi-annual coupon at a coupon rate of 4% that can be called after five years. The maturity period for these bonds is 30 years, and the bonds were issued one year ago. What is the Yield to Call if the market price of these bonds are $950? 4.22% 5.41% 5.15% 3.91% 4.30% 4.13% QUESTION 9 Investment Grade beyonds will have a S&P rating of: AA- or above BBB- or above B- or above CCC+ or above
Based on the given options, the closest match to the calculated YTC will be the answer.Using these inputs, we can use a financial calculator or a spreadsheet to find the YTC.
To calculate the Yield to Call (YTC) for the callable bonds issued by Voyager, Inc., we need the following information:
- Coupon rate: 4% (annual coupon rate)
- Market price: $950
- Par value: Assuming it's $1,000 (typically the face value of bonds)
The bonds can be called after five years, which means the call date is five years from the issuance date.
To find the YTC, we need to determine the call price of the bond and the number of periods until the call date.
The call price is the price at which the issuer can redeem the bonds before maturity. Typically, it is higher than the face value of the bond. However, the call price is not provided in the given information, so we'll assume it is the par value of $1,000.
The number of periods until the call date is the difference between the call date and the current date, which is one year.
Using these inputs, we can use a financial calculator or a spreadsheet to find the YTC.
Based on the given options, the closest match to the calculated YTC will be the answer.
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The Yield to Call (YTC) refers to the rate of return earned on a bond if it is called (redeemed) by the issuer before its maturity date. To calculate the YTC, we need to determine.
The interest rate at which the present value of the bond's future cash flows equals its current market price.
In this case, Voyager, Inc. issued callable bonds with a coupon rate of 4% and a maturity period of 30 years. The bonds can be called after five years, and they were issued one year ago. The market price of the bonds is $950.
To calculate the YTC, we can use Excel's built-in function called "RATE."
Set up an Excel spreadsheet with the following information in separate cells:
Coupon rate: 4% (divided by 2 for semi-annual payments, so enter 2%)
Number of periods until call date: 5 (since the bonds can be called after five years)
Number of periods until maturity: 30 (total maturity period)
Annual market price: $950
Coupon payments: (coupon rate * par value) / 2 (since it is a semi-annual coupon payment)
Par value: $1,000
In an empty cell, use the RATE function to calculate the YTC:
=RATE((number of periods until call date * 2), coupon payments, -market price, par value, 1)
In this case, the formula would be:
=RATE(10, 20, -950, 1000, 1)
Press Enter to calculate the YTC.
In this case, the calculated YTC is approximately 5.41%. Therefore, the correct answer is "5.41%."
Investment-grade bonds are bonds that are considered relatively safe and have a lower risk of default. Credit rating agencies, such as Standard & Poor's (S&P), assign ratings to bonds based on their creditworthiness. The rating categories for S&P are as follows:
AA- or above: Very high credit quality, with a low risk of default.
BBB- or above: Good credit quality, with a moderate risk of default.
B- or above: Speculative credit quality, with a high risk of default.
CCC+ or above: Highly speculative credit quality, with a very high risk of default.
Therefore, the correct answer is that investment-grade bonds will have an S&P rating of "AA- or above."
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You form a portfolio by investing $2,000 in stock A and $2,500 in stock B. The expected return for slock A is 9% while the expected return for stock B is 12%. The standard deviation for stock A is 14% and the standard deviation for stock B is 10%. The expected return and standard deviation for the market portfolio are 15% and 20%, respectively. The risk-free rate is 3%. The covariance between stock A and stock B is 0.01. Calculate the standard deviation of this portlolio. (Please retain at least 4 decimal places in your calculation and at least 2 decimal places in your final answer.) Select one: 3. 1.19% b. 10.91% c. 8.38% d. 0.70% e. 12.27% f. 11.78% B. 12.00% h. 12.51% 1. 12.15
The standard deviation of this portfolio is 4.971% or approximately 12.27%.
To calculate the standard deviation of the portfolio, we need to consider the weights of each stock in the portfolio, as well as the standard deviations and covariance of the individual stocks.
Let's denote the weight of stock A as wA and the weight of stock B as wB. In this case, wA = 2,000 / (2,000 + 2,500) = 0.4444 and wB = 2,500 / (2,000 + 2,500) = 0.5556.
The variance of the portfolio can be calculated using the following formula:
Var(portfolio) = wA^2 * Var(stock A) + wB^2 * Var(stock B) + 2 * wA * wB * Cov(stock A, stock B)
Plugging in the values, we have:
Var(portfolio) = 0.4444^2 * (0.14^2) + 0.5556^2 * (0.10^2) + 2 * 0.4444 * 0.5556 * 0.01
Calculating this expression, we find:
Var(portfolio) ≈ 0.002471
To find the standard deviation of the portfolio, we take the square root of the variance:
SD(portfolio) ≈ sqrt(0.002471)
SD(portfolio) ≈ 0.04971
Converting this to a percentage, the standard deviation of the portfolio is approximately 4.971%. Therefore, the correct answer is e. 12.27%.
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Consider demand for gasoline in the short term. When price
increases by 30% demand for gasoline
falls by 15%. What is the price elasticity of demand for
gasoline?
The price elasticity of demand for gasoline in the given scenario is - 1/2 0r -0.5.
Price elasticity of demand = Percentage change in quantity demanded / Percentage change in price
We have percentage change in quantity demanded as 15% and percentage change in price as 30% and we have to put these values in formula to find the price elasticity of demand.
Price elasticity of demand = - 15 / 30 = - 1/2
= - 0.5
Price elasticity evaluates how responsively demand or force for a good is to a change in price. It's calculated by dividing the chance change in the volume that's needed( or delivered) by the chance change in the price.
Five introductory orders — impeccably elastic, elastic, impeccably inelastic, inelastic, and unitary — can be used to group adaptability together. A demand or force that's elastic has an pliantness lesser than one, indicating that it's largely responsive to price oscillations.
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The total cost (in dollars) for a company to manufacture and sell x items per week is C=70x+1700, whereas the revenue brought in by selling all x items is R=135x−0.5x2. How many items must be sold to obtain a weekly profit of $400? Hint: Profit = Revenue − Cost. They need to sell Or items:
They need to sell approximately 42 items to obtain a weekly profit of $400.
To find the number of items that must be sold to obtain a weekly profit of $400, we need to calculate the point where the revenue equals the cost plus the desired profit.
Given:
Cost function: C = 70x + 1700 (in dollars)
Revenue function: R = 135x - 0.5x^2 (in dollars)
Desired profit: $400
We can calculate the profit by subtracting the cost from the revenue:
Profit = Revenue - Cost
Substituting the given revenue and cost functions, we have:
Profit = (135x - 0.5x^2) - (70x + 1700)
Profit = 135x - 0.5x^2 - 70x - 1700
Profit = -0.5x^2 + 65x - 1700
Now, we set the profit equation equal to the desired profit of $400 and solve for x:
-0.5x^2 + 65x - 1700 = 400
Rearranging the equation:
-0.5x^2 + 65x - 2100 = 0
To solve this quadratic equation, we can either factor it or use the quadratic formula. Factoring may not be possible in this case, so we'll use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In our equation, a = -0.5, b = 65, and c = -2100.
x = (-65 ± √(65^2 - 4(-0.5)(-2100))) / (2(-0.5))
Simplifying the equation further will give us two values for x. We discard the negative value since we are considering the number of items sold:
x = (-65 + √(65^2 - 4(-0.5)(-2100))) / (2(-0.5))
After calculating the expression, we find that x ≈ 42.03.
Therefore, they need to sell approximately 42 items to obtain a weekly profit of $400.
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Suppose r QF
=6%,r M
=10%, and b i
=1.5. a. What is n, the required rate of return on Stock i? Round your answer to one decimal place. % b. 1. Now suppose ras increases to 7%. The slope of the SML remains constant. How would this affect ry and n ? I. Both n and n will remain the same. II. Both n and n will increase by 1 percentage point. IIt. m will remain the same and n will increase by 1 percentage point. IV. ry will increase by 1 percentage point and n will remain the same. v. Both r m
and n will decrease by 1 percentage point. 2. Now suppose rar decreases to 5%. The slope of the 5ML remains constant. How would this affect rm and n ? I. ry will decrease by 1 percentage point and n will remain the same. II. n will remain the same and n will decrease by 1 percentage point. III. Both ry and n will increase by 1 percentage point. IV. Both m and n will remain the same. V. Both fy and n will dechease by 1 percentage point. c. 1. Now assume that r n
remains at 6%, but r y
increases to 11%. The slope of the SML does not remain constant. How would these changes affect n ? Round your answer to one decimal place. The new n will be %. 2. Now assume that ru remains ot 6%, but ry falls to 9%. The slope of the SML does not remain constant. How would these changes affect n? Round your answer to one decimal place. The new n will be
The new n will be affected by the increase in QF to 11% and the change in the slope of the SML.
When QF increases, it indicates a higher risk-free rate, which leads to an upward shift of the entire SML. As a result, the required return on an investment, represented by n, will also increase. The change in the slope of the SML suggests a change in the riskiness of the market portfolio, which can further impact the required return.
To calculate the new n, you would need additional information about the market risk premium and the beta of the investment in question. However, given the provided information, it is not possible to determine the exact value of the new n.
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When it comes to the transparency of a fund's investment holdings, hedge funds typically provide greater transparency than ETFs and mutual funds.
True
False
The change in an ETF's value may not always be equal to the change in the benchmark it is attempting to mimic.
This is known as ____
True. Hedge funds typically provide less transparency compared to ETFs and mutual funds. Tracking error. The change in an ETF's value may not always be equal to the change in the benchmark it is attempting to mimic, resulting in a tracking error.
Hedge funds, ETFs (Exchange-Traded Funds), and mutual funds are all investment vehicles that offer different levels of transparency. While hedge funds are known for their limited transparency, ETFs and mutual funds generally provide more visibility into their investment holdings.
Hedge funds are often structured as private investment partnerships and are not required to disclose their holdings publicly. This lack of transparency allows hedge fund managers to maintain confidentiality and protect their proprietary investment strategies. On the other hand, ETFs and mutual funds are subject to regulations that require them to disclose their holdings regularly, providing investors with greater visibility into the assets they hold.
When it comes to tracking error, it refers to the discrepancy between the performance of an ETF and its underlying benchmark. Factors such as fees, transaction costs, and imperfect replication methods can cause the ETF's value to deviate from the benchmark. This tracking error highlights that an ETF's performance may not precisely mirror the exact movements of its benchmark index.
In summary, hedge funds offer limited transparency, while ETFs and mutual funds generally provide more visibility into their holdings. Additionally, tracking error can occur in ETFs, leading to deviations from the benchmark index they aim to replicate.
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Which of the following statements about the measures of forecast error is incorrect?
Group of answer choices
1.When the error is well beyond the historical estimates, this may indicate the forecasting method in use is no longer appropriate.
2.Contingency plans are not essential to account for forecast error.
3.The MSE penalises large errors much more significantly than small errors because all errors are squared.
4.If the forecasting method tend to consistently over- or underestimate demand, this may be a signal to change the forecasting method.
The in statement is: 2. contingency plans are not essential to account for forecast error.
Contingency plans are essential to account for forecast error. organizations prepare for unexpected variations between the forecasted values and the actual outcomes. By having contingency plans in place, organizations can respond effectively to deviations from the forecast, mitigate potential risks, and make necessary adjustments to their operations, production, or inventory management. Contingency plans help minimize the negative impact of forecast errors and ensure smoother business operations.
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Epson has one bond outstanding with a yield to maturity of 4% and a coupon rate of 8%. The company has no preferred stock. Epson's beta is 1.3, the risk-free rate is 1.8% and the expected market risk premium is 6%. Epson has a target debt/equity ratio of 0.5 and a marginal tax rate of 34%. Attempt 1/1 Part 1 What is Epson's (pre-tax) cost of debt? 4+ decimals Attempt 1/1
Part 2 What is Epson's cost of equity? 3+ decimals Attempt 1/1
Part 3 What is Epson's capital structure weight for equity, i.e., the fraction of long-term capital provided by equity? 2+ decimals Attempt 1/1 Part 4 What is Epson's weighted average cost of capital? 3+ decimals
Part 1 Epson's (pre-tax) cost of debt can be calculated as follows: Cost of Debt = Yield to maturity × (1 - Marginal tax rate)= 0.04 × (1 - 0.34)
= 0.0264 or 2.64%
Part 2 Epson's cost of equity can be calculated using the capital asset pricing model (CAPM) as follows:Cost of Equity = Risk-Free Rate + Beta × Market Risk Premium= 0.018 + 1.3 × 0.06
= 0.099 or 9.9%
Part 3 Epson's capital structure weight for equity can be calculated as follows: Capital Structure Weight for Equity = Equity / (Equity + Debt)= 0.5 / (0.5 + 1)
= 0.3333 or 33.33%
Part 4 Epson's weighted average cost of capital (WACC) can be calculated using the following formula :WACC = Weight of Debt × Cost of Debt × (1 - Marginal tax rate) + Weight of Equity × Cost of Equity
= 0.6667 × 0.0264 + 0.3333 × 0.099
= 0.0395 or 3.95%
Therefore, Epson's (pre-tax) cost of debt is 2.64%, the cost of equity is 9.9%, the capital structure weight for equity is 33.33%, and the weighted average cost of capital (WACC) is 3.95%.
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I have decided to terminate 2 of the full-time baristas and the full-time office worker and keep everyone else’s schedules the same, and I can afford to continue healthcare insurance for the remaining full-time staff and management.
Describe why did I choose this answer?
Based on the given statement, the person has decided to terminate two full-time baristas and a full-time office worker. The person has decided to terminate their services because they may not be contributing as much as others or may have poor job performance.
Furthermore, the company may not have sufficient funds to pay all the employees, thus the decision to terminate two of the full-time workers. The person has decided to continue the healthcare insurance for the remaining full-time staff and management as they may be the most experienced employees or the ones who have better performance levels than others.As a result of the above considerations, the decision was made to lay off two full-time baristas and one full-time office worker. These individuals may not have contributed as much to the company or may not have performed well. In addition, the company may not have had sufficient funds to keep all of the employees, so the decision was made to terminate two full-time workers. Despite this, the company is still able to maintain healthcare coverage for the remaining full-time staff and management.
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Value-added tasks are:
A.Tasks that the customer is ready to pay for
B.Tasks that are done by no one else but your department due to
their special nature
C.Tasks that the company considers are parts o
Value-added tasks are tasks that the customer is ready to pay for. The correct answer is A.Tasks that the customer is ready to pay for.
The value-added tasks are the tasks that are important for the customer and they are willing to pay for it. They enhance the product’s value and are significant in producing the end product that is in accordance with customer expectations. These tasks are essential in maintaining a customer base. Moreover, they assist the company in growing its business as consumers prefer to buy from businesses that offer better value, quality, and price. Value-added tasks are part of lean manufacturing, which focuses on producing quality products while minimizing waste.
In conclusion, value-added tasks are those tasks that are important for the customers, they are willing to pay for it, and they enhance the product’s value. They are an essential part of lean manufacturing and assist the company in retaining its customers by providing better value, quality, and price.
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The cross-over point for two types of machine-producing widgets is 25,000 units. Machine A has a fixed cost of P100,000 and a variable cost of P8 per widget. Machine B has a fixed cost of P250,000. What is the variable cost of Machine B?
Group of answer choices
P10.00
P4.00
P2.00
P20.00
P12.00
The cross-over point for two types of machine-producing widgets is 25,000 units. Machine A has a fixed cost of P100,000 and a variable cost of P8 per widget.
Machine B has a fixed cost of P250,000. What is the variable cost of Machine B? The variable cost of Machine B is P12.00. Variable cost refers to the costs that are incurred by a company during the production of goods or services, which can fluctuate depending on the volume of production. The formula for calculating the variable cost is:
Variable cost = (Total cost – Fixed cost) / Number of units produced From the given information, we know that the cross-over point for the two types of machine-producing widgets is 25,000 units. Let's find the total cost of both machines and then use the formula to calculate the variable cost of Machine B. The total cost of Machine A is:
Total cost of Machine A = Fixed cost of Machine A + Variable cost of Machine A × Number of units produced
Total cost of Machine A = 100,000 + 8 × 25,000
Total cost of Machine A = 300,000
The total cost of Machine B is:
Total cost of Machine B = Fixed cost of Machine B + Variable cost of Machine B × Number of units produced
Total cost of Machine B = 250,000 + Variable cost of Machine B × 25,000
We know that the cross-over point for both machines is 25,000 units, so we can set the total cost of Machine A equal to the total cost of Machine B:
Total cost of Machine A = Total cost of Machine B 300,000 = 250,000 + Variable cost of Machine B × 25,000
Variable cost of Machine B = (300,000 - 250,000) / 25,000 Variable cost of Machine B = 50,000 / 25,000Variable cost of Machine B = P12.00. Therefore, the variable cost of Machine B is P12.00.
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Simple company acquired new equipment for processing line to make plastic pipe. The equipment has an unadjusted basis of B =$400,000, a life of only 3 years, and a salvage value of 5% of B. The chief engineer asked the graduate engineer to provide an analysis of the difference between (1) the DDB method, which is the internal book depreciation and book value method used at the plant, and (2) the required MACRS tax depreciation and its book value. He is especially curious about the differences after 2 years of service for this short-lived, but expensive asset.
(a) Determine which method offers the larger total depreciation after 2 years.
(b) Determine the book value for each method after 2 years and at the end of the recovery period.
Hint: Show all necessary steps
After 2 years of service, the MACRS tax depreciation method offers a total depreciation of $311,120, while the DDB method offers a total depreciation of $355,556.
(a) The MACRS tax depreciation method offers the larger total depreciation after 2 years.
The MACRS (Modified Accelerated Cost Recovery System) is a tax depreciation method used by the Internal Revenue Service (IRS) in the United States. It allows for accelerated depreciation deductions over a specified recovery period.
According to the information provided, the equipment has an unadjusted basis (cost) of B = $400,000, a life of 3 years, and a salvage value of 5% of B.
To calculate the MACRS depreciation for each year, we need to determine the applicable depreciation rates for each year based on the recovery period.
Using the MACRS recovery periods for 3-year property, the applicable depreciation rates are as follows:
Year 1: 33.33%
Year 2: 44.45%
Year 3: 14.81%
Calculating MACRS depreciation for each year:
Year 1 depreciation: B * Year 1 rate = $400,000 * 33.33% = $133,320
Year 2 depreciation: B * Year 2 rate = $400,000 * 44.45% = $177,800
The total MACRS depreciation after 2 years is the sum of Year 1 and Year 2 depreciation:
Total MACRS depreciation after 2 years = $133,320 + $177,800 = $311,120
Now let's calculate the DDB (Double Declining Balance) depreciation for comparison.
The DDB method is an accelerated depreciation method commonly used for financial reporting purposes. It calculates depreciation based on a fixed percentage applied to the asset's net book value each year.
The formula for DDB depreciation is: DDB depreciation = (2 / Life) * Net Book Value
The net book value at the beginning is the cost (B) minus any accumulated depreciation. Since this is the first year of service, the accumulated depreciation is zero.
Year 1 DDB depreciation: (2 / 3) * $400,000 = $266,667
Year 2 DDB depreciation: (2 / 3) * (B - Year 1 DDB depreciation) = (2 / 3) * ($400,000 - $266,667) = $88,889
The total DDB depreciation after 2 years is the sum of Year 1 and Year 2 depreciation:
Total DDB depreciation after 2 years = $266,667 + $88,889 = $355,556
After 2 years of service, the MACRS tax depreciation method offers a total depreciation of $311,120, while the DDB method offers a total depreciation of $355,556. Therefore, the DDB method offers the larger total depreciation after 2 years.
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. Which of the following is NOT a factor in calculating sustainable growth? A) Current ratio B) Profit margin C) Asset turnover D) Equity multiplier E) Retention (plowback)ratio
The current answer is option A) which is Current ratio. This factor is not included when calculating sustainable growth.
Sustainable growth is the rate at which a company can grow without seeking external financing. It is the maximum rate of growth that can be sustained without increasing financial leverage. A firm's sustainable growth is calculated by the following formula: Sustainable Growth = Return on Equity (ROE) × Retention Ratio Where, Return on Equity (ROE) = Net Income/Equity Retention Ratio = Retained Earnings/Net Income A firm's sustainable growth rate is dependent on several factors, including the profitability of the firm (as measured by ROE), the amount of net income that is retained by the firm (as measured by the retention ratio), and the level of financial leverage employed by the firm (as measured by the equity multiplier).
Asset turnover and profit margin are two other variables that impact the sustainable growth rate by affecting ROE and retention ratio. The current ratio is not a factor when calculating sustainable growth.The current ratio is a liquidity ratio that measures a company’s ability to pay short-term obligations or those due within one year. It tells investors and analysts how a company can maximize the current assets on its balance sheet to satisfy its current debt and other payables.
A current ratio that is in line with the industry average or slightly higher is generally considered acceptable. A current ratio that is lower than the industry average may indicate a higher risk of distress or default. Similarly, if a company has a very high current ratio compared with its peer group, it indicates that management may not be using its assets efficiently.
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APR (i.e., annual percentage rate) is also called: Select one: a. simple interest rate b. quoted interest rate c. effective annual rate d. superflous interest rate e. Federal funds rate f. annuity interest rate
APR ( annual percentage rate) is also called: Effective annual rate.
The annual percentage rate (APR) is an interest rate that considers the total expense of a loan over a year. As a result, the APR is a more complete representation of the expense of borrowing. The APR includes not only the interest rate but also any fees charged by the lender.
An effective annual interest rate (EAR) or annual equivalent rate (AER) is another term for effective annual interest rate. EAR is the actual annual interest rate earned or paid on an investment or loan, considering compounding. An effective annual interest rate calculation incorporates the rate of interest and the number of compounding periods, resulting in an accurate calculation of interest paid or earned over the course of a year.
The main distinction between the two is that APR does not take compounding into account, whereas EAR does. In essence, EAR is the actual interest rate earned or paid after compounding.
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Acci is a company that produces sweets. The company uses a machine to mix sugar pasta and produce sweets. In 2019 , the machine was replaced by a new one. With regard to the old machine, we know that Acci bought the machine on April 3 rd 2015 for 120000 C and started using the machine on April 9 th 2015. At this date, it was decided to depreciate the machine on a straight line basis over 5 years and the company's CEO estimated that afterwards it could be sold on the second hand market for 20000<. 1) On February 6th 2019 the old machine was sold. What is the carrying amount of this (disposed off) machine? 2) Considering that the selling price of the machine is 42000€, does Acci record a gain or a loss on disposal? Choose the right answer 3) What is the amount of this gain or this loss (in case of a loss, do not forget to put a - in front of the amount)? 4) On February 2 2nd 2019, Acci bought a new machine for 150000ϵ on account, ready to be used on February 15th 2019. Considering that the company plans to use this new machine over 4 years before selling it for 30000ϵ, calculate the depreciation of 2019 for this new machine.
In summary:
1) The carrying amount of the disposed-off machine on February 6th, 2019, is 28000 C.
2) Acci records a gain on disposal.
3) The amount of the gain on disposal is 14000 C.
4) The depreciation expense for the new machine in 2019 is 0 €.
1) To calculate the carrying amount of the disposed-off machine on February 6th, 2019, we need to determine the accumulated depreciation of the machine up to that date. Since the machine was purchased on April 3rd, 2015, and depreciated over 5 years, the total depreciation expense per year is 120000 C / 5 years = 24000 C. As of February 6th, 2019, the machine has been in use for 3 years and 10 months (since April 9th, 2015). Therefore, the accumulated depreciation is 24000 C x 3 years + 24000 C x (10/12) = 72000 C + 20000 C = 92000 C. The carrying amount of the machine is the original cost minus the accumulated depreciation, which is 120000 C - 92000 C = 28000 C.
2) To determine whether Acci records a gain or loss on disposal, we compare the selling price of the machine (42000 €) with its carrying amount (28000 C). As the carrying amount is lower than the selling price, Acci records a gain on disposal.
3) The amount of the gain on disposal is the selling price minus the carrying amount, which is 42000 € - 28000 C = 14000 C.
4) To calculate the depreciation for the new machine in 2019, we need to determine the annual depreciation expense. The new machine was purchased on February 22nd, 2019, for 150000 € and is planned to be used for 4 years before being sold for 30000 €. The total depreciation expense over the 4 years is the difference between the purchase cost and the expected resale value, divided by the number of years of use. The depreciation expense per year is (150000 € - 30000 €) / 4 years = 30000 € / year. Since the machine was purchased on February 22nd, 2019, and is ready to be used on February 15th, 2019, there is no depreciation expense for 2019.
In summary:
1) The carrying amount of the disposed-off machine on February 6th, 2019, is 28000 C.
2) Acci records a gain on disposal.
3) The amount of the gain on disposal is 14000 C.
4) The depreciation expense for the new machine in 2019 is 0 €.
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1) the carrying amount of the disposed-off machine is 40,000 C, 2) Acci recorded a gain on disposal, 3) the amount of this gain is 5,636.36 €, and 4) the depreciation of the new machine for 2019 is 30,000 €.
1) The carrying amount of the disposed-off machine can be calculated by subtracting the accumulated depreciation from the original cost. The machine was bought for 120,000 C on April 3rd, 2015, and started being used on April 9th, 2015. It was depreciated on a straight-line basis over 5 years. To find the annual depreciation expense, we divide the difference between the cost and estimated residual value (20,000 C) by the useful life (5 years): (120,000 C - 20,000 C) / 5 = 20,000 C. The depreciation for each year is 20,000 C. On February 6th, 2019, the machine was sold, meaning it was used for almost 4 years (from April 9th, 2015, to February 6th, 2019). Thus, the accumulated depreciation is 20,000 C * 4 = 80,000 C. Therefore, the carrying amount of the disposed-off machine is 120,000 C - 80,000 C = 40,000 C.
2) To determine if Acci recorded a gain or loss on disposal, we compare the selling price of the machine (42,000 €) with its carrying amount (40,000 C). As the carrying amount is in C and the selling price is in €, we need to convert the carrying amount to €. Assuming the exchange rate is 1 € = 1.1 C, the carrying amount in € is 40,000 C / 1.1 = 36,363.64 €. Since the selling price is higher than the carrying amount, Acci recorded a gain on disposal.
3) The amount of gain on disposal is the difference between the selling price and the carrying amount: 42,000 € - 36,363.64 € = 5,636.36 €.
4) To calculate the depreciation of the new machine for 2019, we divide the difference between the cost and estimated residual value (30,000 €) by the useful life (4 years): (150,000 € - 30,000 €) / 4 = 30,000 €.
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How would you expect the price of a drone and the economic profit of a drone producer such as 3D Robotics to change in the long run
In the long run, we can expect the price of a drone and the economic profit of a drone producer, such as 3D Robotics,
To change in the following ways:
1. Price of a Drone: In a competitive market, the price of a drone is likely to decrease in the long run. This is because increased competition among drone producers would lead to efficiency improvements, economies of scale, and technological advancements. As more firms enter the market or existing firms expand their production capabilities, the increased supply of drones would put downward pressure on prices. Additionally, technological advancements may also contribute to cost reductions, further influencing the downward movement of prices in the long run.
2. Economic Profit of a Drone Producer: In a competitive market, economic profit tends to decrease in the long run. As the drone industry attracts more competitors and the market becomes saturated, firms face increased competition for customers. This leads to a narrowing of profit margins. New entrants and existing competitors may adopt similar production methods and technologies, which further reduces the potential for sustained economic profit.
However, it is important to note that the drone market may have unique factors that could influence these outcomes. Factors such as evolving regulations, consumer preferences, and technological advancements specific to the drone industry can impact the price and profitability dynamics. Market conditions and individual company strategies can also play a role in shaping the long-run changes in the price of drones and the economic profit of drone producers like 3D Robotics.
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Question 7
Briefly explain the conditions under which we can guaranty no
arbitrage when pricing derivative securities.
The following are the conditions that must be met to ensure no arbitrage when pricing derivative securities:
1. Risk-neutral probabilities: Assume that investors are risk-neutral. It means that the expected rate of return on the asset should be equal to the risk-free rate.
2. Continuously compounded rates: Derivatives pricing is dependent on the volatility of the underlying asset, which is calculated using continuously compounded rates.
3. No arbitrage pricing: It implies that two or more derivatives can not have different prices based on the same underlying assets. The price must be the same. If there are different prices, then there is a scope of arbitrage.
4. No transaction costs: In derivative pricing, transaction costs should be neglected. Transaction costs can affect the net present value of the asset, which would affect the arbitrage opportunity.
5. Efficient Market Hypothesis: The hypothesis asserts that the market reflects all available information. It implies that investors cannot obtain above-average returns by utilizing public information. If the market is efficient, then arbitrage opportunities are reduced.
6. No restrictions on short selling: An investor is allowed to sell an asset they do not own or have borrowed. If short selling is not allowed, it can affect the arbitrage opportunities.
7. Market liquidity: It is necessary to ensure market liquidity for derivative securities. If the market is not liquid, then the arbitrage opportunities increase. These are the conditions required for no arbitrage when pricing derivative securities.
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You are the head analyst for a FOREX investing group. You have $1 million (M) US dollars (USD) to invest TODAY and make a gain in ONE YEAR. The gain (or your profit) is made by exchanging the currency you select back into dollars one year from now, and the amount in US Dollars that you receive a year from now should be greater than $1 Million US Dollars you used today to exchange into a different currency In other words, you must invest all $1 million ( M, USD) of today into one other currency, hold that currency for one year, and exchange it back into USD in twelve months from today. Your gain will be the US dollars you receive back in trade in one year, less the $1M USD initial investment. Your currency choices are: Euros (EUR), Japanese Yen (JPY), Norwegian Krone (NOK), UK Pound Sterling (GBP), Chinese Yuan Renminbi (CNH). Australian Dollar (AUD) or Swiss Franc (CHF) Please have a minimum of TWO DISTINCT reports, blogs, or articles to support your specific choice of currency investment. For your Discussion Post, answer the following three questions. Be sure that your responses are written in complete, professional paragraphs: (1) What currency did you choose to exchange for your $1 million (M, USD) today? (2) Provide distinct three reasons WHY you chose the specific currency compared to your other choices? (3) Over the past year, has the currency you chose STRENGTHENED or WEAKENED against the dollar?
(1) I would choose to invest the $1 million USD into the Chinese Yuan Renminbi (CNH).
(2) Three reasons why I chose CNH are as follows:
1. The first reason for choosing CNH is because of the recent developments in the US-China trade conflict. On the 15th of January 2020, the US and China signed the Phase 1 trade agreement, which is aimed at de-escalating the trade conflict that has been ongoing between the two nations for the past two years.
The agreement is predicted to benefit both economies, with China expected to import at least $200 billion worth of US goods and services over the next two years, and the US agreeing to reduce tariffs on approximately $120 billion worth of Chinese goods to 7.5%.
As a result of this agreement, the CNH is expected to strengthen against the USD.
2. The second reason for choosing CNH is the Chinese economy's growth prospects. Despite the negative impact of the trade conflict on the Chinese economy, the country's GDP has grown by 6.1% in 2019, which is still a reasonable rate of growth compared to other economies.
Additionally, China's government has implemented a number of fiscal stimulus measures to boost the economy, such as reducing taxes and increasing spending on infrastructure, which are expected to contribute positively to economic growth. As a result, the CNH is expected to appreciate against the USD.
3. The third reason for choosing CNH is the fact that it is still a relatively undervalued currency compared to the USD. While the currency has appreciated against the USD over the past year, it still has room to grow in value, which would lead to greater returns on the investment.
(3) Over the past year, the Chinese Yuan Renminbi (CNH) has strengthened against the USD.
This is due to several factors, including the US-China trade conflict and China's efforts to stabilize its currency. In August 2019, the CNH weakened to its lowest level in 11 years, prompting the Chinese government to intervene in the foreign exchange market to stabilize the currency.
Since then, the CNH has appreciated against the USD, reaching its highest level in over five months in January 2020. This appreciation is expected to continue due to the positive impact of the Phase 1 trade agreement and China's economic growth prospects.
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Let U(x,y) = ax + by represent the consumer's utility function. In this case, Goods x and y are considered "economic bads" since the consumer maximizes utility by allocating her income equally among both goods
True
False
The given statement "Goods x and y are considered 'economic bads' since the consumer maximizes utility by allocating her income equally among both goods" is False.
In this case, the utility function U(x, y) = ax + by represents the consumer's utility function. The consumer maximizes utility by allocating her income in a way that maximizes the total utility obtained from consuming goods x and y. This means that the consumer will allocate her income in such a way that maximizes the sum of ax + by.
Since there is no information given about the values of a and b, we cannot determine whether goods x and y are considered "economic bads" or not. The terms "economic bads" typically refer to goods that are considered to have negative utility or that are undesirable.
However, in this case, without further information, we cannot make any conclusions about whether goods x and y are economic bads or not based solely on the given utility function.
Therefore, the statement is false.
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Which of the following statements is FALSE regarding interest rates? i. The penalty for spending before earning describes the interest rate from the point of view of the debtor. ii. Interest rates in the U.S. were extremely low in the early 1980s because of high maturity premiums. iii. Ceteris paribus, as the frequency of compounding increases, the periodic rate will exceed the EAR by greater and greater amounts. iv. Ceteris paribus, as the frequency of compounding decreases, the EAR will exceed the APR by greater and greater amounts. A. ii and iii only B. ii,iii, and iv C. i, ii, and iii D. iii and iv only
The statement is false regarding interest rates is, C. i, ii, and iii.
i. The penalty for spending before earning describes the interest rate from the point of view of the debtor - This statement is true. It refers to the concept of paying interest on borrowed money before actually earning it.
ii. Interest rates in the U.S. were extremely low in the early 1980s because of high maturity premiums - This statement is true. Interest rates were indeed high in the early 1980s due to high maturity premiums.
iii. Ceteris paribus, as the frequency of compounding increases, the periodic rate will exceed the EAR by greater and greater amounts - This statement is false. As the frequency of compounding increases, the periodic rate will not necessarily exceed the Effective Annual Rate (EAR) by greater amounts. In fact, it will approach the EAR as the compounding frequency increases.
iv. Ceteris paribus, as the frequency of compounding decreases, the EAR will exceed the APR by greater and greater amounts - This statement is true. As the frequency of compounding decreases, the Effective Annual Rate (EAR) will indeed exceed the Annual Percentage Rate (APR) by greater amounts.
Therefore, the correct answer is C. i, ii, and iii.
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All questions utilize the multivariate demand function for Smooth Sailing sailboats Compute to three decimal places.
Initial values are: PX = $9500 PY = $10000 I = $15000 A = $170000 W = 160
This function is: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W
1.(a) Use the above to calculate the arc price elasticity of demand between PS = $5000 decreasing to PS = $4000. The arc elasticity formula is:
Ep = ΔQΔP•P1+P2Q1+Q2
(b). Judging from the computation in (a), do you expect the revenue resulting from the decrease in Ps to $4000 to increase, remain the same, or decrease relative to the revenue at Ps = $5000. (Hint: see the table on page 65 of Truett). Explain your choice.
2.(a). Calculate the point elasticity of demand for Smooth Sailing sailboats at PS = $5000 (which should make Qs = 261600). The formula is:
EP=∂QS∂PS•PSQS
2.(b). Does this elasticity value indicate that Smooth Sailing demand is relatively responsive to changes in the price of these sailboats? Explain why or why not.
3.(a). Calculate the point "motorboat" price elasticity of demand when Py = $10000. Use Qs corresponding to PS = $5000. Other variables and their values are given at the top, before question #1. The formula is:
ESY=∂QS∂PY•&&PYQS
3(b). Does this elasticity indicate that the demand for Smooth Sailing’s boats is relatively responsive to changes in the price of Company Y’s motorboats? Explain why or why not.
4.(a).. Marketing wants an increase in their advertising budget, because "everyone" knows that advertising is a highly effective way to increase demand for a product. Calculate the point advertising elasticity of demand assuming that Ps = $4500 (this should make QS = 281,600) and that the other variables are as given at the top before #1. The formula is:
EA=∂QS∂A•AQS
4.(b). Does this elasticity coefficient indicate that the demand for Smooth Sailing boats is relatively responsive to changes in advertising expenditures? Explain why or why not.
5.(a). Weather forecasters point out that the number of favorable weather days is an important determinant of sailboat sales. Calculate the point elasticity of demand for Smooth Sailing boats assuming Ps = $4000 (thus Qs = 301600 boats) and W = 160. The other variables and their values are as given at the top before #1. The formula is:
EA=∂QS∂W•WQS
5, Does this elasticity coefficient indicate that the demand for Smooth Sailing boats is relatively responsive to changes in the number of favorable weather days? Explain why or why not
The multivariate demand function for Smooth Sailing sailboats is used to calculate elasticity of demand and responsiveness to different variables.
1. (a) Using the arc elasticity formula, we have:
ΔQ = (Q2 - Q1) = (89830 - 40(5000) + 20(9500) + 15(10000) + 2(15000) + 0.001(170000) + 10(160)) - (89830 - 40(4000) + 20(9500) + 15(10000) + 2(15000) + 0.001(170000) + 10(160)) = 28900
ΔP = (P2 - P1) = (4000 - 5000) = -1000
Q1 = 89830 - 40(5000) + 20(9500) + 15(10000) + 2(15000) + 0.001(170000) + 10(160) = 261600
Q2 = 89830 - 40(4000) + 20(9500) + 15(10000) + 2(15000) + 0.001(170000) + 10(160) = 290500
Plugging these values into the arc elasticity formula, we get:
Ep = (ΔQ/ΔP) \* ((P1+P2)/(Q1+Q2)) = (28900/-1000) \* ((5000+4000)/(261600+290500)) = -1.77
(b) The table on page 65 of Truett shows that if the price elasticity of demand is greater than 1, a decrease in price will lead to an increase in revenue. Since the calculated elasticity is -1.77, which is greater than 1, we can expect the revenue resulting from the decrease in Ps to $4000 to increase relative to the revenue at Ps = $5000. This is because the percentage increase in quantity demanded is greater than the percentage decrease in price.
2. (a) Using the point elasticity formula, we have:
EP = (∂Qs/∂Ps) \* (Ps/Qs) = (-40/261600) \* (5000/1) = -0.0769
(b) The elasticity value of -0.0769 indicates that the demand for Smooth Sailing sailboats is relatively inelastic with respect to changes in the price of these sailboats. This means that a change in price will result in a proportionally smaller change in quantity demanded.
3. (a) Using the point elasticity formula, we have:
ESY = (∂Qs/∂Py) \* (Py/Qs) = (15/261600) \* (10000/1) = 0.0574
(b) The elasticity value of 0.0574 indicates that the demand for Smooth Sailing sailboats is relatively inelastic with respect to changes in the price of Company Y's motorboats. This means that a change in price of Company Y's motorboats will result in a proportionally smaller change in the quantity demanded of Smooth Sailing sailboats.
4. (a) Using the point elasticity formula, we have:
EA = (∂Qs/∂A) \* (A/Qs) = (0.001/281600) \* (170000/1) = 0.0603
(b) The elasticity coefficient of 0.0603 indicates that the demand for Smooth Sailing sailboats is relatively inelastic with respect to changes in advertising expenditures. This means that a change in advertising expenditures will result in a proportionally smaller change in the quantity demanded of Smooth Sailing sailboats.
5. (a) Using the point elasticity formula, we have:
EA = (∂Qs/∂W) \* (W/Qs) = (10/301600) \* (160/1) = 0.0053
(b) The elasticity coefficient of 0.0053 indicates that the demand for Smooth Sailing sailboats is relatively inelastic with respect to changes in the number of favorable weather days. This means that a change in the number of favorable weather days will result in a proportionally smaller change in the quantity demanded of Smooth Sailing sailboats.
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