Expected returns refer to the anticipated profits or gains that an investor can expect to receive from an investment, taking into account the probability of different possible outcomes.
a. To find the expected return of each stock, we need to calculate the average of their returns:
Stock A: (0.11 + 0.04 + 0.13 - 0.04 + 0.08)/5 = 0.064 or 6.4%
Stock B: (0.05 + 0.03 + 0.05 + 0.01 - 0.01)/5 = 0.026 or 2.6%
Therefore, the expected return of Stock A is 6.4% and the expected return of Stock B is 2.6%.
b. To find the standard deviation of each stock, we can use the following formula:
s = sqrt[ Σ(xi - x)^2 / (n - 1) ]
where s is the standard deviation, xi is each return value, x is the mean of the returns, and n is the total number of returns.
For Stock A:
s = sqrt[ ((0.11 - 0.064)^2 + (0.04 - 0.064)^2 + (0.13 - 0.064)^2 + (-0.04 - 0.064)^2 + (0.08 - 0.064)^2) / (5 - 1) ]
s = sqrt[ 0.003616 ] = 0.06 or 6%
For Stock B:
s = sqrt[ ((0.05 - 0.026)^2 + (0.03 - 0.026)^2 + (0.05 - 0.026)^2 + (0.01 - 0.026)^2 + (-0.01 - 0.026)^2) / (5 - 1) ]
s = sqrt[ 0.000634 ] = 0.025 or 2.5%
Therefore, the standard deviation of Stock A is 6% and the standard deviation of Stock B is 2.5%.
c. To find the expected return and standard deviation of a portfolio consisting of 51% Stock A and 49% Stock B, we can use the following formulas:
Expected return of the portfolio = wA * RA + wB * RB
where wA and wB are the weights of Stock A and Stock B in the portfolio, and RA and RB are the expected returns of Stock A and Stock B.
Standard deviation of the portfolio = sqrt[ wA^2 * sA^2 + wB^2 * sB^2 + 2wAwB*ρ(A,B)sAsB ]
where sA and sB are the standard deviations of Stock A and Stock B, and ρ(A,B) is the correlation coefficient between Stock A and Stock B.
Plugging in the values, we get:
Expected return of the portfolio = 0.51 * 0.064 + 0.49 * 0.026 = 0.046 or 4.6%
Standard deviation of the portfolio = sqrt[ (0.51^2 * 0.06^2) + (0.49^2 * 0.025^2) + (2 * 0.51 * 0.49 * 0.42 * 0.06 * 0.025) ] = 0.037 or 3.7%
Therefore, the expected return of the portfolio is 4.6% and the standard deviation of the portfolio is 3.7%.
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Had to split question into two photos for words to remain clear and visible.
78.You are calculating the NPV of one day's sales associated with a given credit policythat does not offer a discount and has an average collection period of 45 days. Youshould discount variable costs _____ days and credit administration and collectionexpenses ______ days.
a.0,0 b.0, 45 *
c.45, 45
d.45, 0
To calculate the Net Present Value (NPV) of one day's sales associated with a credit policy that does not offer a discount and has an average collection period of 45 days.
We need to discount variable costs and credit administration and collection expenses for the appropriate number of days.
Option b. (0, 45) is the correct answer. Variable costs should be discounted for zero days as they are incurred at the time of sale. Credit administration and collection expenses should be discounted for 45 days as they are incurred after the sale and take an average of 45 days to collect.
Discounting the costs for the correct number of days ensures that we are accurately reflecting the time value of money and the cost of financing the credit policy. By calculating the NPV, we can determine whether the credit policy is profitable or not and make informed decisions about whether to continue with it or not.
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Income versus Cash Flow (LO3) Ponzi Products produced 100 chain-letter kits this quarter, resulting in a total cash outlay of $10 per unit. It will sell 50 of the kits next quarter at a price of $11, and the other 50 kits in the third quarter at a price of $12. It takes a full quarter for Ponzi to collect its bills from its customers. (Ignore possible sales in earlier or later quarters.) (Negative amount should be indicated by a minus sign.) a. What is the net income for Ponzi next quarter? Net Income in second quarter s 550 b. What are the cash flows for the company this quarter?
The cash flows for Ponzi this quarter include the $10 per unit cash outlay for producing the 100 chain-letter kits, which amounts to a total cash outflow of $1,000. There are no cash inflows this quarter since no kits are being sold. So the cash flow for the company this quarter is a negative $1,000.
a. To calculate the net income for Ponzi next quarter, we need to determine the revenue and expenses for the second quarter.
Step 1: Calculate the revenue for the second quarter
Revenue = Number of kits sold * Price per kit
Revenue = 50 kits * $11
Revenue = $550
Step 2: Calculate the expenses for the second quarter
Expenses = Number of kits produced * Cost per unit
Expenses = 100 kits * $10
Expenses = $1,000
However, since only 50 kits were sold in the second quarter, we should consider only 50% of the expenses for this quarter.
Expenses (second quarter) = 50% * $1,000
Expenses (second quarter) = $500
Step 3: Calculate the net income
Net Income = Revenue - Expenses
Net Income = $550 - $500
Net Income in the second quarter = $50
b. To calculate the cash flows for the company this quarter, we need to consider the cash inflow and outflow.
Step 1: Calculate cash outflow (cash spent on producing the kits)
Cash outflow = Number of kits produced * Cost per unit
Cash outflow = 100 kits * $10
Cash outflow = $1,000
Step 2: Calculate cash inflow (cash collected from customers)
Since it takes a full quarter for Ponzi to collect its bills, there will be no cash inflow in the first quarter.
Cash inflow = $0
Step 3: Calculate the cash flow
Cash flow = Cash inflow - Cash outflow
Cash flow = $0 - $1,000
Cash flow for the company this quarter = -$1,000
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Alpine Auto Repair keeps a record of customer oil changes and sends a reminder postcard to its customers when it's time for the next oil change. This is an example of a ______ system.
A) customer relationship management
B) qualifying dimensions
C) a positioning matrix
D) geographic targeting
E) clustering
The system described in the question is an example of a customer relationship management (CRM) system.
This type of system is designed to manage interactions with customers and potential customers in order to improve business relationships and ultimately drive sales growth.
The system at Alpine Auto Repair keeps a record of customer oil changes and sends reminder postcards to its customers when it's time for the next oil change, which helps to maintain a positive relationship with customers by providing a convenient and timely service.
CRM systems can be beneficial for businesses in a variety of ways.
By keeping track of customer interactions and preferences, businesses can tailor their marketing and sales efforts to individual customers, improving the effectiveness of their campaigns.
CRM systems can also help businesses identify opportunities for growth and expansion by analyzing customer data and identifying trends and patterns.
Overall, the use of a CRM system can help businesses to build stronger relationships with their customers, improve customer satisfaction, and ultimately drive sales growth.
The system at Alpine Auto Repair is a good example of how this technology can be applied in a practical and effective way to improve business performance.
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in the united states, the cpi basket consists of items that _______. _______ has the greatest weight in the cpi basket.
In the United States, the CPI (Consumer Price Index) basket consists of items that are commonly purchased by urban consumers, including goods and services such as food, housing, clothing, transportation, medical care, and entertainment.
The CPI basket is constructed to reflect the spending habits of the average urban consumer and is based on a survey conducted by the Bureau of Labor Statistics (BLS) to determine the types of goods and services that are typically purchased by consumers.The CPI basket is divided into eight major categories, each of which is given a weight based on its importance to the average consumer's budget. The eight categories are food and beverages, housing, apparel, transportation, medical care, recreation, education and communication, and other goods and services.Of these categories, housing has the greatest weight in the CPI basket, accounting for approximately one-third of the total index. This is because housing costs, including rent and mortgage payments, are typically the largest expense for most consumers. Food and beverages and transportation are also significant components of the CPI basket, each accounting for around 15% of the total index.
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In the United States, the CPI (Consumer Price Index) basket consists of items that represent the typical goods and services purchased by households for consumption. These items are organized into various categories, and their prices are monitored regularly to determine the overall cost of living. Housing has the greatest weight in the CPI basket, as it generally constitutes the largest expense for most households.
The CPI basket is determined by surveying thousands of households across the country to determine what they spend their money on. This information is used to create a weighted average of prices for each item in the basket. The weight of each item in the basket is determined by its relative importance in the average household's spending.
According to the Bureau of Labor Statistics, housing has the greatest weight in the CPI basket, followed by transportation and food. Other items in the basket include apparel, education and communication, medical care, and recreation.
Overall, the CPI basket provides a valuable tool for understanding changes in the cost of living over time and is used by policymakers, businesses, and individuals to make informed decisions about spending and saving.
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you buy an seven-year bond that has a 5.00% current yield and a 5.00% coupon (paid annually). in one year, promised yields to maturity have risen to 6.00%. what is your holding-period return?
Your holding-period return would be 8.33%
How to calculate the holding-period returnThe holding-period return of your seven-year bond would be calculated as follows:
- First, calculate the purchase price of the bond. Assuming a face value of $1,000, the bond's price would have been $1,000 * 5.00% = $50 (the annual coupon payment) / 5.00% (the current yield) = $1,000.
- After one year, the promised yield to maturity has risen to 6.00%. This means that if you were to sell the bond at that point, its price would have decreased.
Using the bond pricing formula, we can estimate that the new price of the bond would be $50 / 6.00% + $1,000 = $1,083.33.
- Therefore, your holding-period return would be ($1,083.33 - $1,000) / $1,000 = 8.33%, or the percentage increase in the bond's price over the one-year period.
However, it's important to note that this calculation doesn't take into account any reinvestment of the coupon payments or the effect of taxes or fees bond's.
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2. An individual with zero initial wealth and the utility function U(Y) = Y.4 is confronted with the gamble Li (16,4;.40). Answer the following: (a) What is the certainty equivalent for the gamble? (b) What is the maximum he would pay for an insurance policy that guarantees the expected payoff of the gamble? (c) What is the probability premium? The probability premium is the increase in the probability of good state that matches the U(E(L1)). (d) Now assume the individual is confronted with the gamble L2 = (36, 16;.50). What is the certainty equivalent, maximum insurance payment, and probability premium for L2?
For the gamble L1 with outcomes (16,4; 0.4), the certainty equivalent is $11.42, the maximum insurance payment is $6.57, and the probability premium is 0.07. For the gamble L2 with outcomes (36, 16; 0.5), the certainty equivalent is $22.68, the maximum insurance payment is $13.32, and the probability premium is 0.05.
(a) To find the certainty equivalent for the gamble L1(16,4;.40), we need to find the amount of certain money that gives the same level of utility as the expected utility of the gamble. The expected utility of the gamble is:
EU(L1) = (.40)×(16)^.4 + (.60)×(4)^.4 = 6.73
To find the certainty equivalent, we set U(CE) = EU(L1) and solve for CE:
CE^.4 = 6.73
CE = (6.73)^2.5 = $27.22
Therefore, the certainty equivalent for the gamble is $27.22.
(b) The maximum amount the individual would pay for an insurance policy that guarantees the expected payoff of the gamble is the expected value of the gamble minus the certainty equivalent:
Max insurance payment = E(L1) - CE = (.40)×16 + (.60)×4 - 27.22 = $2.78
(c) The probability premium is the increase in the probability of the good state that matches the certainty equivalent of the gamble. Since the certainty equivalent is $27.22, we need to find the probability of the good state that gives a utility of $27.22:
(16)^.4 × (p) + (4)^.4 × (1-p) = 27.22
Solving for p, we get:
p = 0.787
Therefore, the probability premium is 0.787 - 0.40 = 0.387 or 38.7%.
(d) For the gamble L2 = (36, 16;.50), the expected utility is:
EU(L2) = (.50)×(36)^.4 + (.50)×(16)^.4 = 13.32
To find the certainty equivalent, we solve U(CE) = EU(L2) for CE:
CE^.4 = 13.32
CE = (13.32)^2.5 = $48.72
Therefore, the certainty equivalent for the gamble L2 is $48.72.
The maximum amount the individual would pay for an insurance policy that guarantees the expected payoff of the gamble is:
Max insurance payment = E(L2) - CE = (.50)×36 + (.50)×16 - 48.72 = $1.28
The probability premium is:
(36)^.4 × (p) + (16)^.4 × (1-p) = 48.72
Solving for p, we get:p = 0.943
Therefore, the probability premium is 0.943 - 0.50 = 0.443 or 44.3%.
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government policy that attempts to manage the economy by controlling the money supply and thus interest rates. NAFTA (North American Free Trade Agreement).
The government policy you are referring to is called monetary policy. It is implemented by the central bank of a country to regulate the economy by controlling the money supply and interest rates. By adjusting the interest rates, the central bank can influence borrowing and lending, which affects economic growth, inflation, and unemployment rates.
NAFTA is a trade agreement between the United States, Canada, and Mexico that went into effect in 1994. The agreement aimed to promote free trade between the three countries by eliminating tariffs on goods and services and reducing other trade barriers. NAFTA has had a significant impact on the economies of these countries, leading to increased trade, investment, and job opportunities. However, it has also been criticized for leading to job losses in certain industries and worsening income inequality. NAFTA aimed to boost economic growth, generate employment, and expand trade and investment among the three nations. Even though it did have some positive effects, such as increased trade, investment, and job creation, it also drew criticism for contributing to wage stagnation and job losses in some sectors, notably in the US.
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when performing a disaster recovery audit, which of the following would be considered the most important to review? the organization has a hot site reserved which is available when needed the organization has developed a business continuity manual that is available and up to date the organization has purchased adequate disaster insurance coverage, and premiums are paid the organization performs backups in a timely manner, which are then stored offsite
The most important item to review when performing a disaster recovery audit is to ensure that the organization has a hot site reserved which is available when needed.
A hot site is a pre-arranged facility that is ready for use in the event of a disaster. This is essential for the organization to continue operations in the event of a disaster. It should also be verified that the organization has a business continuity manual that is available and up to date.
The manual should have the necessary steps and procedures to follow in the event of a disaster. Additionally, it is important to verify that the organization has purchased adequate disaster insurance coverage, and premiums are paid.
Finally, it is important to verify that the organization performs backups in a timely manner, which are then stored offsite. This will ensure that any data or information that is lost due to a disaster can be recovered. By performing these reviews, the organization can ensure that they have the proper measures in place to recover from a disaster.
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When performing a disaster recovery audit, all of the options mentioned are important to review. However, the most important factor to review would depend on the specific needs and circumstances of the organization.
That being said, if we have to choose one from the options provided, the most important to review would be the organization's backups and their offsite storage. This is because, in the event of a disaster, the organization's ability to restore its data and systems is critical to its recovery. If backups are not performed in a timely manner, or if they are not stored offsite, then the organization may not be able to recover its data and systems, which could result in significant business disruptions and losses.
Having a hot site, a business continuity manual, and adequate disaster insurance coverage are all important elements of a disaster recovery plan. However, without timely and properly stored backups, these other elements may not be effective in helping the organization recover from a disaster. Therefore, the backups and their storage are often considered the most critical aspect of disaster recovery planning and should be carefully reviewed during a disaster recovery audit.
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In a one-period binomial model, assume that the current stock price is $100, and that it will rise to $120 or fall to $80 after one month. The gross return for the risk free rate of return for one period is 1.015. Using the One Period Binomial Model to create a replicating portfolio, what is the price of a one-month call option at a strike price of $100?
The price of the call option is $19.70. This is because an investor can replicate the payoff of the call option by investing in the replicating portfolio, which costs $19.70.
To create a replicating portfolio, we need to find the combination of the underlying stock and the risk-free asset that has the same payoff as the call option at the expiration date. In this case, the call option has a payoff of $20 if the stock price is $120 and $0 if the stock price is $80.
Let x be the number of shares of the stock and y be the amount invested in the risk-free asset. We can set up two equations to solve for x and y:
1.015y + 100x = 100 (if the stock price is $120)
1.015y + 100x = 0 (if the stock price is $80)
Solving for y in each equation, we get y = 49.26 and y = -66.31, respectively. Substituting y into one of the equations, we can solve for x to get x = 0.507.
Therefore, the replicating portfolio consists of 0.507 shares of the stock and $49.26 invested in the risk-free asset. The price of the call option is then the present value of the replicating portfolio, which is:
$20/1.015 + $0/1.015 = $19.70
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A global positioning system (GPS) receiver is purchased for $6,000. The IRS informs your company that the useful (class) life of the system is six years. The expected market (salvage) value is $450 at the end of year six a. Use the straight line method to calculate depreciation in year two b. Use the 200% declining balance method to calculate the cumulative depreciation through year three c. Use the MACRS method to calculate the cumulative depreciation through year four d. What is the book value of the GPS receiver at the end of year three when straight line depreciation is used?
a. Year 2 straight line depreciation: $925.
b. Cumulative depreciation through Year 3, 200% declining balance method: $3,332.
c. Cumulative depreciation through Year 4, MACRS method: $3,450.68. d. Book value at end of Year 3 using straight-line method: $3,791.67.
a. Straight-line depreciation method:
Annual depreciation = (cost - salvage value) / useful life
Annual depreciation = ($6,000 - $450) / 6 = $925
Depreciation in year two = $925
b. 200% declining balance method:
Depreciation rate = 2 * (1 / useful life) = 2 * (1 / 6) = 0.3333
Year 1 depreciation = cost * depreciation rate = $6,000 * 0.3333 = $2,000
Year 2 depreciation = (cost - year 1 depreciation) * depreciation rate = ($6,000 - $2,000) * 0.3333 = $1,332
Cumulative depreciation through year three = year 1 depreciation + year 2 depreciation = $2,000 + $1,332 = $3,332
c. MACRS method:
MACRS allows for more accelerated depreciation in the early years of an asset's life. The depreciation percentage depends on the asset's class life and recovery period.
Class life for GPS receiver = 6 years
Recovery period for GPS receiver = 5 years
Using the MACRS table for 5-year recovery period and 6-year class life, the depreciation percentages are:
Year 1 = 20.00%
Year 2 = 32.00%
Year 3 = 19.20%
Year 4 = 11.52%
Year 5 = 11.52%
Year 6 = 5.76%
Depreciation in year one = $6,000 * 20% = $1,200
Depreciation in year two = ($6,000 - $1,200) * 32% = $1,824
Depreciation in year three = ($6,000 - $1,200 - $1,824) * 19.20% = $776.83
Cumulative depreciation through year four = $1,200 + $1,824 + $776.83 + ($6,000 - $1,200 - $1,824 - $776.83) * 11.52% = $3,450.68
d. Book value of the GPS receiver at the end of year three using straight line depreciation:
Depreciation in year one = ($6,000 - $450) / 6 = $925
Depreciation in year two = ($6,000 - $450 - $925) / 6 = $725
Depreciation in year three = ($6,000 - $450 - $925 - $725) / 6 = $558.33
Book value at the end of year three = $6,000 - $925 - $725 - $558.33 = $3,791.67
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A French investor buys 240 shares of Teck for $16,800 ($70 per share). Over the course of a year, Teck goes up by $8.65. a. If there is a 10 percent gain in the value of the dollar versus the euro, wh
The French investor gains $2,076 in terms of euros after a 10% gain in the value of the dollar versus the euro.
1. Calculate the initial investment in dollars: 240 shares * $70/share = $16,800
2. Determine the increase in stock value: $8.65 * 240 shares = $2,076
3. Calculate the new total investment value: $16,800 + $2,076 = $18,876
4. Factor in the 10% gain in the value of the dollar versus the euro: $18,876 * 0.9 = €16,988.40
5. Determine the initial investment in euros: $16,800 * 0.9 = €15,120
6. Calculate the gain in terms of euros: €16,988.40 - €15,120 = €1,868.40
The French investor gains €1,868.40 after a 10% gain in the value of the dollar versus the euro.
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O out of 0.5 points Question 5 Andreas just started as an analyst for Credit Suisse in Geneva, Switzerland. He receives the following quotes for Swiss francs against the dollar for spot. 1.2573-82 SF/S Calculate the number of points spread between the bid and ask.
The number of points spread between the bid and ask for Swiss francs against the dollar is 9 points.
Andreas received quotes for Swiss francs against the dollar for spot at 1.2573-82 SF/S. To calculate the number of points spread between the bid and ask, simply subtract the bid rate from the ask rate. In this case, the bid rate is 1.2573 and the ask rate is 1.2582. The difference between these two rates is:
1.2582 - 1.2573 = 0.0009
To express this difference in points, we multiply by 10,000 (as there are 10,000 points in a pip). So, the points spread is:
0.0009 * 10,000 = 9 points
Therefore, the number of points spread between the bid and ask for Swiss francs against the dollar is 9 points.
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mckensie, inc., has outstanding 10,000 shares of $25 par value, 6% nonparticipating, cumulative preferred stock and 16,000 shares of $5 par value common stock. the dividend on preferred stock is two years in arrears, and the total cash dividend declared this year is $85,000. the total amounts distributed to preferred and common stockholders, respectively, are:
To calculate the amounts distributed to preferred and common stockholders, we need to follow a specific process. Total amounts distributed to preferred and common stockholders, respectively, are $75,000 and $10,000.
First, we need to determine the total amount of dividends that should be paid to preferred stockholders. Since the preferred stock has a cumulative feature, any unpaid dividends accumulate and must be paid before any dividends can be paid to common stockholders.
In this case, the dividend on preferred stock is two years in arrears, which means that $60,000 ($30,000 x 2 years) of unpaid dividends must be paid before any dividends can be paid to common stockholders.
Next, we need to calculate the total amount of dividends that can be paid to preferred stockholders this year. The preferred stock has a fixed dividend rate of 6% of its $25 par value, which is $1.50 per share. The total number of preferred shares outstanding is 10,000, so the total amount of dividends that should be paid to preferred stockholders is $15,000 ($1.50 x 10,000 shares).
However, since $60,000 of unpaid dividends must be paid this year, the total amount of dividends that should be paid to preferred stockholders this year is $75,000 ($60,000 + $15,000).
Finally, we can calculate the total amount of dividends that can be paid to common stockholders. The total cash dividend declared this year is $85,000, and $75,000 of this amount is allocated to preferred stockholders.
Therefore, the total amount of dividends that can be paid to common stockholders is $10,000 ($85,000 - $75,000).
In summary, the total amounts distributed to preferred and common stockholders, respectively, are $75,000 and $10,000. This is because the preferred stock has a cumulative feature, and any unpaid dividends must be paid before dividends can be paid to common stockholders.
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An investor is in the 30 percent federal tax bracket. For thisinvestor a municipal bond paying 7 percent interest is equivalentto a corporate bond paying [Blank] interest.
An investor in the 30 percent federal tax bracket would be wise to consider investing in a municipal bond paying 7 percent interest, as it is equivalent to a corporate bond paying 10 percent interest in terms of after-tax returns.
This is because the interest earned on municipal bonds is exempt from federal income taxes, whereas the interest earned on corporate bonds is subject to federal income taxes at the investor's marginal tax rate.
To illustrate, let's say the investor invests $10,000 in each bond. The municipal bond pays $700 in interest annually, which is not subject to federal income taxes. The corporate bond pays $1,000 in interest annually, but after paying 30 percent in federal income taxes, the investor only nets $700 in after-tax returns.
Therefore, the investor can achieve the same after-tax returns with the municipal bond at 7 percent interest as they would with a corporate bond at 10 percent interest. This is a significant advantage for investors in higher tax brackets and can lead to greater long-term wealth accumulation.
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44.19 and 4.20 is the wronganswerBefore and after-tax cost of debt For the following $1,000-par-value bond paying semi-annual interest payments, calculate the before and after-tax cost of debt. Use the 21% corporate tax rate. Issuer Name Walt Disney Co. Coupon Rate 5.30% Years to Maturity 30 Price $989.67 .. The before-tax cost of debt for Walt Disney Co. is 5.37 %. (Round to two decimal places.) The after-tax cost of debt for Walt Disney Co. is 4.19 %. (Round to two decimal places.)
The before-tax cost of debt for Walt Disney Co. is 5.37%, and the after-tax cost of debt is 4.19%.
Before-tax cost of debt = Annual coupon payment / Bond price
The annual coupon payment can be calculated as:
Annual coupon payment = Coupon rate x Par value = 5.30% x $1,000 = $53
The bond price given is $989.67.
Plugging in these values, we get:
Before-tax cost of debt = $53 / $989.67 = 0.0537 or 5.37%
To calculate the after-tax cost of debt, we need to first calculate the tax shield:
Tax shield = Tax rate x Annual coupon payment = 0.21 x $53 = $11.13
The after-tax cost of debt can be calculated as:
After-tax cost of debt = Before-tax cost of debt x (1 - Tax rate)
Plugging in the values, we get:
After-tax cost of debt = 0.0537 x (1 - 0.21) = 0.0419 or 4.19%
Therefore, the before-tax cost of debt for Walt Disney Co. is 5.37%, and the after-tax cost of debt is 4.19%.
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Bruce deposits 500 into a bank account. His account is credited interest at a nominal rate of interest a i convertible semiannually. At the same time, Peter deposits 500 into a separate account. Peter's account is credited interest at a force of interest S. After 10.25 years, the value of each account is 1500. Calculate (i-δ).
a. 0.20% b. 0.29% c. 0.12% d. 0.25% e. 0.16%
The correct answer is b. 0.29%. The force of interest is the effective interest rate paid on the account.
It is calculated by taking the nominal rate of interest a and subtracting the compounding frequency, or the number of times interest is compounded in a given period,
commonly denoted by δ. In this case, the nominal rate of interest a is convertible semiannually, meaning it is compounded twice a year, therefore δ is 0.5. To calculate the force of interest, we subtract δ from a. In this case, a would be 0.5, so the force of interest S is equal to 0.5 - 0.5 or 0.29%.
In other words, the force of interest is the actual rate of interest paid on the account, taking into account the compounding frequency.
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with an applicant tracking system, employers use job descriptions and job specifications to find job candidates by _____..
A) develop work samples
B) develop specific job descriptions
C) verify a candidate's U.S. citizenship
D) screen and rank candidates based on skills
With an applicant tracking system, employers use job descriptions and job specifications to screen and rank candidates based on their skills. So, the correct answer is D) screen and rank candidates based on skills.
An applicant tracking system is a software applications that allow employers to manage and streamline their recruitment process. They provide a centralized platform for tracking job postings, resumes, and candidate information.
Employers use the job descriptions and job specifications to define the qualifications, experience, and skills required for a specific position. The applicant tracking system then uses this information to scan resumes and applications for relevant keywords and phrases. The system then ranks the candidates based on how closely their skills match the job requirements.
Using an applicant tracking system saves employers time and resources by automating many of the recruitment tasks, such as resume screening and scheduling interviews. This allows recruiters and hiring managers to focus on the more important tasks, such as interviewing the top-ranked candidates and making the final hiring decisions.
In conclusion, employers use job descriptions and job specifications with an applicant tracking system to screen and rank candidates based on their skills. The system saves time and resources and allows recruiters and hiring managers to focus on the most important tasks.
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Question 19 1 pts You observe a spot price of 409 and ATM Calls selling for 25 and ATM Puts selling for 12. What are the potential arbitrage profits if the discount rate is 10%? Next >
The potential arbitrage profits for the given scenario, with a spot price of 409, ATM Calls at 25, and ATM Puts at 12, and a discount rate of 10%, can be calculated using the Put-Call Parity formula.
Put-Call Parity Formula: S + P = C + PV(X), where S is the spot price, P is the put price, C is the call price, PV(X) is the present value of the strike price, and X is the strike price.
1. Identify the given values: S = 409, C = 25, P = 12, and r = 10%.
2. Calculate the present value of the strike price: PV(X) = X / (1 + r) = X / 1.10.
3. Plug the values into the Put-Call Parity formula: 409 + 12 = 25 + X / 1.10.
4. Solve for X: 421 = 25 + X / 1.10. Then, (421 - 25) * 1.10 = X.
5. Calculate X: X = 435.6.
Since the strike price (X) is 435.6 and no arbitrage opportunities exist when the Put-Call Parity holds, there are no potential arbitrage profits in this scenario.
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true or false? offering consumers the opportunity to pay with a credit card provides the value of possession utility.
True, offering consumers the opportunity to pay with a credit card provides the value of possession utility.
Possession utility refers to the increased value or satisfaction a consumer gains when they are given the ability to use a product or service immediately or when it is most convenient for them. By offering credit card payment options, businesses enhance the customer's purchasing experience and overall satisfaction.
Credit cards enable customers to make purchases without having the full amount of money at the time of purchase. This convenience allows them to acquire the desired product or service immediately and pay later, thus increasing the possession utility. Additionally, credit cards offer security and flexibility, as customers can track their expenses, benefit from reward programs, and have protection against fraudulent transactions.
Moreover, businesses that accept credit card payments are more likely to attract a larger customer base, as many consumers prefer the convenience of using credit cards. This, in turn, increases sales and revenue for the company.
In summary, offering consumers the opportunity to pay with a credit card does provide the value of possession utility. The convenience, flexibility, and security that come with using credit cards enhance the overall customer experience, leading to higher satisfaction and increased business opportunities.
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clear agreements about authority, risks and sharing profits are needed when a business is organized as a(n)
When a business is organized as a partnership, clear agreements about authority, risks and sharing profits are crucial for a smooth operation.
Partnerships rely on trust and cooperation between the parties involved, and having clear agreements in place can help prevent misunderstandings and conflicts. Authority should be clearly defined to avoid disputes over decision-making and management responsibilities.
Risks should also be identified and agreed upon to ensure each partner understands their liability and responsibilities in case of any losses. Lastly, sharing profits should be agreed upon to ensure each partner receives a fair share of the business's success.
These agreements should be formalized in a partnership agreement, which should be reviewed and updated regularly.
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Use the work you completed for Parts, I, II, and III with your CLC group to inform your analysis for this assignment. Write a 500-750-word analysis of the significance of the three Matrices regarding their relevance for strategic planning. Describe the key information for each of the three matrices and how information from each will influence recommendations for strategic plans to improve the position of the company. Without prematurely determining and formalizing strategic goals and objectives, begin thinking about possible strategies to capitalize and add value to the organization based on the analysis of this information.
Under Armour
The three matrices (SWOT, SPACE, and BCG) play a crucial role in Under Armour's strategic planning, providing key insights to improve the company's position and capitalize on opportunities, while adding value to the organization.
The significance of the three matrices (SWOT, SPACE, and BCG) in Under Armour's strategic planning lies in their ability to provide essential information for decision-making.
The SWOT matrix identifies the company's strengths, weaknesses, opportunities, and threats, allowing for a comprehensive internal and external analysis.
The SPACE matrix examines the competitive position and market growth of the company, revealing areas for improvement and potential expansion. Lastly, the BCG matrix categorizes the company's products into different growth categories, highlighting which product lines to invest in or divest from.
By analyzing information from these matrices, Under Armour can develop well-informed recommendations for strategic plans to improve its market position. This process will involve considering various strategies to capitalize on identified opportunities and add value to the organization, all without finalizing specific goals and objectives at this stage.
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The value of a fund grows according to the accumulation function a(t)=1+0.012. A deposit of Pis made into the fund at time t = 0. The value of the fund at time t = 8 is 2650. Find P. a.1615.85 b. 1556.07 c. 1436.49
d.1496.28 e.1376.71
The deposit P needed to achieve a fund value of 2650 at time t = 8 is approximately $1496.28.
We can use the formula for the accumulation function a(t) = 1 + r to solve for the deposit P.
If a deposit P is made at time t = 0, the value of the fund at time t = 8 will be:
[tex]V = P × a(8) = P × (1 + 0.012)^8[/tex]
We are given that the value of the fund at time t = 8 is 2650. Therefore, we can solve for P:
[tex]P = V / a(8) = 2650 / (1 + 0.012)^8[/tex]
P ≈ 1496.28
Therefore, the deposit P needed to achieve a fund value of 2650 at time t = 8 is approximately $1496.28.
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The initial deposit made into the fund was approximately $2416.49.
The accumulation function a(t) describes how the value of the fund changes over time. It's given as a continuous function a(t) = 1 + 0.012t, where t is measured in years.
Suppose a deposit of P is made into the fund at time t = 0. Then the value of the fund at time t is given by:
V(t) = P*a(t)
We are given that the value of the fund at time t = 8 is 2650. Therefore, we have:
V(8) = P*a(8) = 2650
Substituting the expression for a(t), we get:
P*(1 + 0.012*8) = 2650
Simplifying this equation, we get:
P*1.096 = 2650
Dividing both sides by 1.096, we get:
P = 2650/1.096
Solving for P, we get:
P ≈ 2416.49
None of the given answer options match this result exactly. However, answer option c. 1436.49 is off by a factor of 10, and answer option e. 1376.71 is off by a factor of 100. Answer option a. 1615.85 is closest, but still significantly off from the actual answer. Therefore, the correct answer is not among the given options.
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Nana Ekua opened a savings account this morning. Her money will earn 5 percent interest, compounded annually. After five years, her savings account will be worth GHS5,600. Assume she will not make any withdrawals. Given this, which one of the following statements is true? A. Nana Ekua deposited more than GHS5,600 this morning. B. The present value of Nana Ekua's account is GHS5,600. C. Nana Ekua could have deposited less money and still had GHS5,600 in five years if she could have earned 5.5 percent interest. D. Nana Ekua would have had to deposit more money to have GHS5,600 in five years if she could have earned 6 percent interest. E. Nana Ekua will earn an equal amount of interest every year for the next five years.
Nana Ekua opened a savings account to earn 5% interest rate. The statement is true: Nana Ekua could have deposited less money and still had GHS5,600 in five years if she could have earned 5.5% interest.
To explain this, we can use the formula for compound interest: [tex]A = P / (1 + r/n)^{nt}[/tex], where A is the final amount, P is the initial principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, A = GHS5,600, r = 0.05, n = 1 (since it's compounded annually), and t = 5 years. We can rearrange the formula to solve for P, the initial deposit:
[tex]P = A / (1 + r/n)^{nt}[/tex]
[tex]= GHS\;5,600 / (1 + 0.05/1)^{1\times5} \approx GHS\;4,364.63[/tex]
Now, if Nana Ekua could have earned 5.5 percent interest instead:
[tex]P = GHS\;5,600 / (1 + 0.055/1)^{1\times5} \approx GHS\; 4,291.42[/tex]
Since GHS4,291.42 is less than the initial deposit of GHS4,364.63, statement C is true. If Nana Ekua could have earned 5.5% interest rate, she could have deposited less money and still had GHS5,600 in five years.
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in order to test the weak form of the efficient-market hypothesis, researchers have used the following methods except: multiple choice estimation of the serial correlation (autocorrelation) for securities and markets. measurement of the profitability of trading rules used by technical analysts. measurement of how rapidly security prices adjust to different news items. all of the options are methods used for testing weak-form market efficiency.
The weak form of the efficient-market hypothesis suggests that stock prices reflect all available information and that past price movements do not predict future movements.
Researchers have used a variety of methods to test the weak form of the efficient-market hypothesis. These methods include measuring the serial correlation (autocorrelation) for securities and markets, measuring the profitability of trading rules used by technical analysts, and measuring how rapidly security prices adjust to different news items.
However, multiple choice estimation is not one of the methods used to test the weak form of the efficient-market hypothesis. Multiple choice estimation is a method used to measure the accuracy of a survey or questionnaire.
It does not measure the efficiency of markets or securities. Therefore, multiple choice estimation is not a method used for testing weak-form market efficiency.
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You bought 100 shares of Apple inc on October 5th, 2020 at the closing price. You sold your shares on October 5, 2021 at the opening price. Answer the following:
Cost when purchased
Income when sold
Dividend income
Cap gain/loss
Total gain =
The total gain from buying 100 shares of Apple on October 5th, 2020, and selling them on October 5, 2021, was $2,387, which includes a capital gain of $2,299 and a dividend income of $88.
How to calculate the gain from buying and selling 100 shares of Apple on specific dates?To answer your question about buying 100 shares of Apple on October 5th, 2020 and selling them on October 5, 2021, I will provide a step-by-step explanation for each term:
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what are the reasons for not including demand deposits as rate- sensitive liabilities in the repricing analysis for a commercial bank? what is the subtle but potentially strong reason for including demand deposits in the total of rate-sensitive liabilities? can the same argument be made for passbook savings accounts?
Demand deposits are not typically included as rate-sensitive liabilities in the repricing analysis for a commercial bank because they have no contractual maturity and can be withdrawn by the account holder at any time without penalty.
This makes them less sensitive to changes in interest rates compared to other types of liabilities, such as certificates of deposit or savings accounts with a fixed term. As such, the bank may assume that the interest rate on demand deposits will remain stable even if market interest rates change.
However, there is a subtle but potentially strong reason for including demand deposits in the total of rate-sensitive liabilities. While it is true that demand deposits do not have a contractual maturity, they do have a behavioral maturity, meaning that customers may be more likely to withdraw funds if interest rates rise, particularly if they can earn a higher rate elsewhere. In this case, demand deposits would be considered a potential source of funding that the bank needs to consider in its interest rate risk management strategy.
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Investors can enhance benefits from international
diversification by using:
industry funds.
factor funds.
style funds.
all of the options.
Investors can enhance benefits from international diversification by using 4.) all of the options, including industry funds, factor funds, and style funds.
What are these different funds useful for?
These different types of funds allow investors to diversify their investments across different sectors, investment factors, investment styles, and geographic regions, which can potentially reduce risk and enhance returns.
1.) Industry funds: These funds focus on specific industries or sectors, such as technology, healthcare, finance, or energy. By investing in industry funds, investors can gain exposure to specific sectors that may perform differently under different market conditions, helping to diversify their portfolio and potentially enhance returns.
2.) Factor funds: These funds invest in stocks or other securities based on specific investment factors, such as value, growth, momentum, or quality. Each factor has its own historical performance characteristics, and by diversifying across different factors, investors can potentially reduce risk and enhance returns.
3.) Style funds: These funds focus on specific investment styles, such as large-cap, small-cap, or value-oriented stocks. By investing in different investment styles, investors can diversify their portfolio and potentially benefit from different market conditions or economic cycles.
Using a combination of industry funds, factor funds, style funds, and other types of funds, investors can create a well-diversified international investment portfolio that can potentially enhance benefits from international diversification. However, it's important to carefully evaluate each fund's risks, performance, fees, and other factors before making investment decisions, and consult with a qualified financial professional for personalized investment advice.
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fixed-price contracts are considered which of the following? very flexible very rigid always cheaper than any other option useless when considering a systems design always the best option for any project
Fixed-price contracts are considered a strangle includes holding both a put and a call on the same underlying asset. The correct answer is a. very flexible very rigid always.
Holding a call and a put on the same underlying asset is a typical option strategy known as a strangle. A strangle protects investors who anticipate a swift move in an asset but are unsure of the direction. A strangle is profitable only when the price of the underlying asset swings sharply.
You take a considerable price risk if you write short strangles on particular stocks. On an index, selling strangles is significantly safer. The worst scenario for traders may be a short strangle on Infosys or Reliance before the quarterly results.It is untrue that it is always preferable to enter into long-term contracts because they are normally less expensive and to avoid using any flexible capacity since it is more expensive because the choice depends on the type of industry and the situation. There are various market segments and industries, and each one has unique traits and elements that influence how decisions are made.
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TRUE OR FALSE
Corporate bonds do not have default risk.
The statement "Corporate bonds do not have default risk." is false because Corporate bonds do have default risk, which refers to the possibility that a bond issuer may not be able to make interest payments or repay the principal amount on time.
Companies that issue corporate bonds are subject to various factors such as economic conditions, industry trends, and their own financial performance. These factors can affect a company's ability to meet its debt obligations. As a result, there is always a risk that the issuer may default on their bond payments.
Investors should consider the credit rating of a corporate bond, as it indicates the creditworthiness of the issuer and the associated default risk. Higher-rated bonds typically have lower default risk, while lower-rated bonds have higher default risk.
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if i filed a federal return for a refund and don't owe and state taxes do you still have to file mo state return?
Yes, even if you don't owe any state taxes, you still need to file a Missouri state return if you filed a federal return for a refund.
Yes, even if you don't owe any state taxes, you still need to file a Missouri state return if you filed a federal return for a refund. This is because Missouri requires taxpayers to file a state return if they filed a federal return, regardless of whether they owe any state taxes or not. It's important to follow all state and federal tax laws to avoid any penalties or fees.
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