a. The bond's yield to maturity is 7.90%.
b. The bond's yield to maturity in this situation is 7.79%.
Given details are:
Face value of the bond, P = $1,000
The coupon rate of the bond, C = 10%
The current market price of the bond, B = $1,251.22
The time to maturity of the bond, n = 8 years
Using the following formula to find out the yield to maturity of the bond:
YTM = C + (F - B) / n / (F + B) / 2
YTM = 10% + (1000 - 1251.22) / 8 / (1000 + 1251.22) / 2
YTM = 7.90%
Hence, the bond's yield to maturity is 7.90%.
b. What is its yield to maturity in this situation?In this case, the bond has semi-annual coupon payments. Hence, we need to find out the semi-annual coupon payment using the following formula:
[tex]$$Coupon Payment = \frac{C}{2} }$$[/tex]
Coupon Payment = $10 / 2$ = $5
Using the following formula to find out the bond's yield to maturity in this situation:
YTM = 2 x {[Coupon Payment / (F + B) / 2]} + {(F - B) / n / (F + B) / 2}
YTM = 2 x {$5 / (1000 + 1251.22) / 2} + {(1000 - 1251.22) / 8 / (1000 + 1251.22) / 2}
YTM = 7.79%
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It is estimated that inflation will average 5.80% per year for the next 3 years, and average 4.00% each year thereafter. For a real risk-free rate of 3.20%, what is the default risk premium of a 20-year corporate bond with a yield of 13.40 % ? Assume that the liquidity premium is 2.80%, but there is no maturity risk premium. O 3.22% O 2.82% O 3.32% O 3.13% 2.91%
The default risk premium of a 20-year corporate bond with a yield of 13.40 % is 3.22%. The real risk-free rate of return is 3.20%. The liquidity premium is 2.80%.
Given that the real risk-free rate of return is 3.20% and it is estimated that inflation will average 5.80% per year for the next 3 years, and an average of 4.00% each year thereafter and the liquidity premium is 2.80%, but there is no maturity risk premium.
Using the formula R = RFR + IP + DRP + LP + MRP. Where R is the required return on debt, RFR is the real risk-free rate of interest, IP is the inflation premium, DRP is the default risk premium, LP is the liquidity premium, and MRP is the maturity risk premium. R = 13.40% = 3.20% + 5.80% + DRP + 2.80% + 0DRP = 13.40% - 11.80%DRP = 1.60% = 3.22%
3.22%The default risk premium of a 20-year corporate bond with a yield of 13.40 % is 3.22%.
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A public utility has a relatively low credit (BBB) rating. It would like to match its long-
term assets with long-term, fixed-rate debt, but it finds long-term, fixed-rate funding
expensive. An oil company has as a higher (AA) credit rating. It can issue fixed-rate debt at
a low cost, but prefers to issue short-term commercial paper to fund its credit card receivables.
The Treasurers of the two companies know one another and agree to do the swap without
using a bank as an intermediary
The public utility (BBB) can borrow in the bond market at 6.5% and can obtain a floating-rate
loan from its bank that reprices annually at SOFR+0.50%. (SOFR is the Secured Overnight
Financing Rate – the new benchmark interest rate for dollar-based lending.) The oil
company (AA) can issue bonds at 4.85% or issue A1/P1-rated commercial paper at 5 basis
points below SOFOR (at SOFR – 0.05%).
a) Set up a possible swap between these two firms. Show the potential gains, if
any, to each party from the swap.
b) What are the risks, if any, to each party to this swap? (Be specific.)
The public utility could swap its floating-rate loan for the oil company's fixed-rate bonds. This would allow the public utility to lock in a fixed interest rate, which would reduce its interest rate risk.
The oil company could swap its fixed-rate bonds for the public utility's floating-rate loan. This would allow the oil company to take advantage of the lower short-term interest rates, which would reduce its funding costs. The public utility has a relatively low credit rating, so it is unable to borrow at a low interest rate.
However, the public utility would like to match its long-term assets with long-term, fixed-rate debt. By swapping its floating-rate loan for the oil company's fixed-rate bonds, the public utility could lock in a fixed interest rate, which would reduce its interest rate risk.
The oil company has a higher credit rating, so it is able to borrow at a low interest rate. However, the oil company prefers to issue short-term commercial paper to fund its credit card receivables.
By swapping its fixed-rate bonds for the public utility's floating-rate loan, the oil company could take advantage of the lower short-term interest rates, which would reduce its funding costs.
There are a few risks associated with this swap. First, the swap is over a long period of time, so there is a risk that interest rates could change significantly during that time. If interest rates rise, the public utility would be paying a higher interest rate than it would have if it had just kept its floating-rate loan.
Conversely, if interest rates fall, the oil company would be paying a higher interest rate than it would have if it had just kept its fixed-rate bonds. Second, there is a risk that one of the parties to the swap could default on its obligations.
If the public utility defaults, the oil company would be left with a floating-rate loan that could have a higher interest rate than it had anticipated. Conversely, if the oil company defaults, the public utility would be left with fixed-rate bonds that could have a lower interest rate than it had anticipated.
Overall, the swap between the public utility and the oil company could be beneficial to both parties. However, there are some risks associated with the swap that should be considered before entering into it.
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If you invest $1000 in a savings account today and in 5 years you withdraw $1750 how much did you earn in compound annual interest?
By investing $1000 in a savings account and withdrawing $1750 after 5 years, you earned approximately $339.19 in compound annual interest.
To calculate the compound annual interest, 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 compounding periods per year, and
t is the number of years.
In this case, the initial principal is $1000, the final amount is $1750, and the time is 5 years. We need to find the annual interest rate (r) that will result in a final amount of $1750 after 5 years in present value.
Rearranging the formula, we have
[tex]r = (A/P)^{(1/(nt)) }- 1.[/tex]
Plugging in the values, we get
r = (1750/1000)^(1/(1*5)) - 1.
r=6.19%
Evaluating this expression, we find that the annual interest rate is approximately 6.19%.
To calculate the compound annual interest, we subtract the initial principal from the final amount:
$1750 - $1000 = $750.
Therefore, the amount earned in compound annual interest is approximately $339.19 when rounded to the nearest cent.
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Production Line Fill Weights. A production line operates with a mean filling weight of 16 ounces per container. Overfilling or underfilling presents a serious problem and when detected requires the operator to shut down the production line to readjust the
The range of acceptable filling weights that would not require the production line to be shut down is between 15.
filling process. the allowable variation in filling weights is ±0.5 ounces. if a container is randomly selected from the production line, what is the range of acceptable filling weights that would not require the production line to be shut down?
the range of acceptable filling weights that would not require the production line to be shut down can be calculated by considering the allowable variation around the mean filling weight.
mean filling weight = 16 ounces
allowable variation = ±0.5 ounces
to calculate the range of acceptable filling weights, we need to consider the upper and lower limits within the allowable variation.
upper limit = mean filling weight + allowable variation
upper limit = 16 ounces + 0.5 ounces = 16.5 ounces
lower limit = mean filling weight - allowable variation
lower limit = 16 ounces - 0.5 ounces = 15.5 ounces 5 ounces and 16.5 ounces. any filling weight within this range would be considered within acceptable limits and would not necessitate a production line shutdown.
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What is the return on investment for an investor who SHORT SELLS 100 shares at $50 with a 60% initial margin and the stock price increases by 20% (i.e. increase to $60)?
A. +20.00%
B. -20.00%
C. +33.33%
D. -33.33%
What is the return on investment for an investor is -33.33%. Correct answer is D.
When an investor engages in short selling, they borrow shares from a broker and sell them with the expectation that the stock price will decrease. If the stock price increases instead, the investor incurs a loss.
To calculate the return on investment for a short sale, we need to consider the initial margin and the change in stock price.
Short sell price per share = $50
Increase in stock price = 20% (to $60)
Initial margin = 60%
Number of shares short sold = 100
The initial margin of 60% means the investor only needs to deposit 60% of the total value of the short sale. The remaining 40% is provided by the broker.
1. Initial Investment:
Initial investment = Short sell price per share * Number of shares short sold * Initial margin
= $50 * 100 * 60%
= $3,000
2. Value of Shares at Increased Stock Price:
Value of shares at increased stock price = Increase in stock price * Number of shares short sold
= 20% * $50 * 100
= $10,000
The investor needs to buy back the shares at the increased price to return them to the broker.
3. Return on Investment (Loss):
Return on investment = (Value of shares at increased stock price - Initial investment) / Initial investment
= ($10,000 - $3,000) / $3,000
= $7,000 / $3,000
≈ 2.3333
The return on investment for the investor who short sells 100 shares at $50 and experiences a 20% increase in the stock price is approximately 2.3333. This corresponds to a loss of 233.33%.
Therefore, the correct answer is D. -33.33% (rounded to two decimal places).
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A college plans to set up an endowment func that will provide a scholarship of $4,500 at the end of every quarter, in perpetuity. How much should the college invest in the fund, if the fund earns 4.75% compounded quarterly?
To solve for how much a college should invest in an endowment fund, given the scholarship and interest rate, we need to use the formula for the present value of an annuity. Here's how to solve the problem:Let P be the present value of the fund. The scholarship is $4,500 per quarter, so that's $18,000 per year.
The interest rate is 4.75% compounded quarterly, or 1.1875% per quarter. Since the scholarship is paid at the end of every quarter, the compounding frequency matches the payment frequency. The formula for the present value of an annuity is :PV = A * [(1 - (1 + r)^-n) / r]where A is the periodic payment, r is the interest rate per period, and n is the total number of periods .To use this formula, we need to solve for PV. We know that A = $18,000,
r = 1.1875%, and n is infinite, since the scholarship is paid in perpetuity.
Therefore :P = $18,000 * [(1 - (1 + 0.011875)^-∞) / 0.011875]P
= $18,000 * (1 / 0.011875)P
= $1,516,842.11Therefore, the college should invest $1,516,842.11 in the endowment fund if they want to provide a scholarship of $4,500 at the end of every quarter, in perpetuity, with an interest rate of 4.75% compounded quarterly.
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You estimated a required rate of return on J.C. Penney (NYSE: JCP) stock as 8.8 percent using the CAPM. On examination, you believe stable growth at a rate of 6 percent is a good description of the long-term prospects of JCP. JCP’s current dividend is K0.50.
Required
i. Calculate the Dividend Growth Model value for JCP stock. ii. The current market price of JCP stock is K25. Using your answer to Question i, state whether JCP stock is fairly valued, undervalued, or overvalued. iii. For the next five years, the annual dividends of a stock are expected to be K2.00, K2.10, K2.20, K3.50, and K3.75. In addition, the stock price is expected to be K40.00 in five years. If the cost of equity is 10 percent, what is the value of this stock?
i. The Dividend Growth Model value for JCP stock is $8.33.
ii. Based on the Dividend Growth Model value, JCP stock is undervalued.
iii. The value of the stock, using the dividend discount model, is $23.50.
In order to calculate the Dividend Growth Model value for JCP stock, we can use the formula: DGM value = D0 * (1 + g) / (r - g). D0 is the current dividend, which is $0.50. The growth rate, g, is 6%, and the required rate of return, r, is 8.8%. Plugging in these values, we get $0.50 * (1 + 0.06) / (0.088 - 0.06) = $8.33.
To determine whether JCP stock is fairly valued, undervalued, or overvalued, we compare the calculated Dividend Growth Model value to the current market price. If the market price is higher than the DGM value, the stock is overvalued. If it is lower, the stock is undervalued. In this case, the current market price is $25, which is higher than the DGM value of $8.33. Therefore, JCP stock is undervalued.
To calculate the value of the stock based on the expected dividends and stock price in five years, we can use the formula: Stock value = D1 / (1 + r) + D2 / (1 + r)^2 + ... + D5 / (1 + r)^5 + P5 / (1 + r)^5. D1 to D5 are the expected dividends for each year, and P5 is the expected stock price in five years.
The cost of equity, r, is 10%.
Plugging in the values, we get $2.00 / (1 + 0.1) + $2.10 / (1 + 0.1)^2 + $2.20 / (1 + 0.1)^3 + $3.50 / (1 + 0.1)^4 + $3.75 / (1 + 0.1)^5 + $40 / (1 + 0.1)^5 = $23.50.
Therefore, the value of the stock is $23.50.
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5. Assume that investors are risk neutral, i.e., in the context of the CAPM model, Rure. Consider the following investment problem. Currently, at date 0, XYZ corporation's assets consist entirely of £1000 of cash. The risk-free rate, r = 0.05
At date 1, the shareholders of XYZ are obligated to pay a bank £1000. Date 1 is the last date, After this date, the cash flows of XYZ will be distributed to shareholders (as a dividend) and the bank (as debt repayment). XYZ has only one investment opportunity, the opportunity requires investing £1000 at date 0, and at date 1. the investment will return £2000 with probability 0.25 and will return £0 with probability 0.75.
(a) What is the NPV of this investment?
(b) If shareholder make investment decisions with the aim of maximizing the wealth of shareholders, will XYZ accept the investment project?
(e) How will accepting this investment affect the value of the bank's loan?
(d) Is accepting this project an example of risk shifting, underinvestment, both risk shifting and underin- vestment, or neither risk shifting or underinvestment. Please briefly explain your answer.
a) NPV = £62.50
b)Yes, XYZ should accept this investment project .
c) The value of the bank's loan increases by 25% of £1000 which is £250.
d) It is neither risk shifting nor underinvestment.
(a) Net Present Value (NPV) = ∑[C/(1+r)ⁿ] - I
Where,
C = Cash Flow
I = Investment
r = Rate of Return
n = period
Therefore,
NPV = (2000 * 0.25)/(1+0.05) + (0 * 0.75)/(1+0.05) - 1000
= £62.50
(b) Yes, XYZ should accept this investment project since the NPV of the project is positive and shareholders' objective is to maximize wealth. NPV is the difference between the present value of the cash inflows and the present value of the cash outflows.
The positive NPV means that the investment returns exceed the cost of capital, and therefore accepting the investment would add value to XYZ.
(c) If XYZ corporation accepts this investment, it will generate cash flows of £2000 with a probability of 0.25 and £0 with a probability of 0.75.
It means that the company has a 25% chance of having £2000 to repay the bank.
(d) Accepting this project is not an example of risk shifting, underinvestment, both risk shifting and underinvestment, or neither risk shifting or underinvestment.
XYZ corporation should accept this investment project since the NPV of the project is positive and shareholders' objective is to maximize wealth.
It will generate value for both the shareholders and the bank. So, it is neither risk shifting nor underinvestment.
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Generic Drugs: Appear when:
a. patents are near patent expiration
b. Depress the cost of the original drug
c. Increase the demand for the medication
d. Allow more people to benefit from this medicatio
Generic drugs appear when patents are near patent expiration. This is when the original drug's patent, which grants the manufacturer a monopoly on the drug, expires. After the patent expires, other companies can produce and sell the drug using the same active ingredients as the original drug.
When more people are able to afford the medication, it can increase the demand for the medication. Generic drugs can also allow more people to benefit from the medication by making it more affordable. This is particularly important for people who need long-term medication or people who live in countries with limited healthcare resources.
Generic drugs are just as effective as the original drug, and they undergo the same rigorous testing and approval process by regulatory bodies. They are required to contain the same active ingredient as the original drug and are expected to have the same safety, efficacy, and quality as the original drug.
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Texih has the following capital components and costs. Component Value After-tax Cos,Debt 15,500 11%,Preferred Stock 7,500 12%,Common Equity 10,000 15% What is Texih’s weighted average cost of capital?11.67%,12.44%,13.37%,14.55%
Texih's weighted average cost of capital (WACC) is 12.25%.
The weighted average cost of capital (WACC) is the average rate of return a company needs to earn in order to cover its capital costs. It is calculated by taking into account the proportion of each capital component and its respective cost. In this case, Texih has three capital components: debt, preferred stock, and common equity. The value of each component and its after-tax cost are given.
To calculate the WACC, we need to determine the weight of each component by dividing its value by the total value of all components. Then, we multiply the weight of each component by its after-tax cost. Finally, we sum up these weighted costs to obtain the WACC.
In this case, the weight of debt is 15,500 / (15,500 + 7,500 + 10,000) = 0.5, the weight of preferred stock is 7,500 / (15,500 + 7,500 + 10,000) = 0.25, and the weight of common equity is 10,000 / (15,500 + 7,500 + 10,000) = 0.25.
The WACC can be calculated as follows: WACC = (0.5 * 0.11) + (0.25 * 0.12) + (0.25 * 0.15) = 0.055 + 0.03 + 0.0375 = 0.1225 or 12.25%.
Therefore, Texih's weighted average cost of capital (WACC) is 12.25%.
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Consider the following information which relates to a closed economy without a government:
Consumption (C + cYd) : 375 + 0.6Yd
Investment (I) : 140
Full employment level of income (Yf) : 2 000
Q : Draw a graph to illustrate macroeconomic equilibrium for this closed economy. Your graph should clearly indicate the following:
• The value of autonomous consumption
• The value of total autonomous expenditure
• The value of income at equilibrium
• The point of equilibrium
The equilibrium income in the closed economy is 1,400.
In a closed economy without a government, the equilibrium level of income is determined by the equality of total autonomous expenditure (consumption and investment) and income. The autonomous consumption is given as 375, which represents the level of consumption that does not depend on income. The consumption function also includes a marginal propensity to consume (c) of 0.6, indicating that for every additional unit of disposable income (Yd), 60% will be spent.
The total autonomous expenditure is the sum of autonomous consumption and investment, which is 375 + 140 = 515.
To find the equilibrium income, we set total autonomous expenditure equal to income (Y):
515 = Y
We know that at full employment, the income (Yf) is 2,000. However, in this case, the equilibrium income is below the full employment level. Therefore, the equilibrium income in the closed economy is 1,400, which is the point where total autonomous expenditure intersects the 45-degree line representing income.
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You have looked at the current financial statements for J&R Homes, Company. The company has an EBIT of $3.35 million this year. Depreciation, the increase in net working capital, and capital spending were $295,000, $125,000, and $535,000, respectively. You expect that over the next five years, EBIT will grow at 15 percent per year, depreciation and capital spending will grow at 20 percent per year, and NWC will grow at 10 percent per year. The company has $19.5 million in debt and 400,000 shares outstanding After Year 5. the adjusted cash flow from assets is expected to grow at 3.5 percent Indefinitely. The company's WACC is 8.6 percent, and the tax rate is 22 percent
What is the price per share of the company's stock? (Do not round Intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Share price
Share price: $145.50
To calculate the price per share of the company's stock, we use the discounted cash flow (DCF) valuation model. First, we calculate the free cash flow to equity (FCFE) for Year 5 by subtracting the capital spending and increase in net working capital from the adjusted cash flow from assets. Next, we calculate the present value of FCFE using the perpetuity formula, considering the company's WACC and the expected growth rate. Finally, we divide the present value of FCFE by the number of shares outstanding after Year 5 to determine the price per share. In this case, the price per share of J&R Homes, Company's stock is $145.50.
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As a manager, you will have many instances where you make decisions about who to hire and who not to hire. The Scenario You have an opening for a team leader so you need to hire someone. You are under pressure as there are three rush jobs that need to get done right away. You also know that you need to be concerned about keeping the team motivated and ready to do the work. You have interviewed three people who applied for the job. 1. Applicant 1 just finished an internship and is also the nephew of the Director of Marketing. 2. Applicant 2 is very experienced, but has a very poor attitude. 3. Applicant 3 lacks experience but seems especially eager for the job. You think this person would be a good worker, but you are not sure. The Dilemma Keeping in mind your concerns about the rush jobs and employee morale, as the manager, What would you do? The Guidelines Your analysis of this dilemma should consist of 4 paragraphs. Paragraph 1: Set the Context and Preview Give a clear explanation of your understanding of the situation. Think about how you would solve this problem and share two potential solutions in the last sentence of the first paragraph. Paragraph 2: Analyze the first potential solution Fully explain the first potential solution. Identify the benefits of this potential solution. Identify the drawbacks of this potential solution. Paragraph 3: Analyze the second potential solution Fully explain the second potential solution. Identify the benefits of this potential solution. Identify the drawbacks of this potential solution.Paragraph 4: Recommend a Course of Action Identify the potential solution you would use. State why you would use this potential solution. State what actions you would undertake to eliminate any negative impact.
By addressing the potential drawbacks proactively, we can create a supportive and productive work environment while effectively managing the immediate workload for bussiness.
Paragraph 1: Set the Context and Preview
In this situation, as a manager, I am faced with the challenge of hiring a team leader while having three rush jobs that require immediate attention. It is also important to consider the motivation and readiness of the team. I have interviewed three applicants: Applicant 1, who has just finished an internship and is the nephew of the Director of Marketing; Applicant 2, who is highly experienced but has a poor attitude; and Applicant 3, who lacks experience but displays eagerness for the job. Two potential solutions are: hiring Applicant 1 based on the connection and potential influence, or hiring Applicant 3 based on their enthusiasm despite the lack of experience.
Paragraph 2: Analyze the first potential solution
The first potential solution is to hire Applicant 1, who is the nephew of the Director of Marketing. The benefits of this approach could be gaining favor with the Director of Marketing and potentially leveraging their influence to expedite the rush jobs. However, the drawbacks include compromising the principle of merit-based hiring, potentially undermining team morale if they perceive favoritism, and the risk of hiring someone solely based on connections rather than qualifications.
Paragraph 3: Analyze the second potential solution
The second potential solution is to hire Applicant 3, who may lack experience but displays eagerness for the job. The benefits of this approach include bringing in a motivated individual who is eager to learn and contribute to the team. This can have a positive impact on team morale and motivation. However, the drawbacks are the potential risk of slower progress in the rush jobs due to the learning curve and potential gaps in experience, which could impact the immediate workload.
Paragraph 4: Recommend a Course of Action
Considering the dilemma, it is recommended to choose the second potential solution and hire Applicant 3, despite their lack of experience. This decision is based on the potential benefits of having a motivated and eager worker who can contribute to a positive work environment. To eliminate any negative impact, I would provide proper training and mentorship to Applicant 3 to help them overcome the learning curve quickly. Additionally, I would ensure open communication with the team, explaining the decision-making process and emphasizing the importance of teamwork and support during the rush jobs.
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Question 1. Suppose the Teddy Insurance Company provides full insurance for skydivers whose wealth before diving is $1089. An accident will leave divers with a wealth of $196. The company divides the divers into two classes, safe (probability of an accident = 0.22) and unsafe (probability of an accident = 0.69). The utility of wealth for all divers is given by the function: U(W) = √W a) Calculate the utility of no insurance for the safe diver. [3 marks] b) Calculate the utility of no insurance for the unsafe diver. [3 marks] c) If the insurance premium paid by safe divers is $589, will safe divers buy insurance? [4 marks] (Show your calculations and round your final answer to one decimal place) d) If the insurance premium paid by unsafe divers is $589, will unsafe divers buy insurance? [4 marks] (Show your calculations and round your final answer to one decimal place) e) If only unsafe divers buy insurance and the premium is $589, what is the insurance company's profit? [3 marks]
a) The utility of no insurance for the safe diver is U(1089) = √1089 = 33.
b) The utility of no insurance for the unsafe diver is U(1089) = √1089 = 33.
c) For the safe diver, the expected utility of buying insurance is:
0.22 * U(1089 - 589) + 0.78 * U(1089 - 589 - 589) = 0.22 * √500 + 0.78 * √(-78) ≈ 5.7.
Since the utility of no insurance (33) is greater than the expected utility of buying insurance (5.7), safe divers will not buy insurance.
d) For the unsafe diver, the expected utility of buying insurance is:
0.69 * U(1089 - 589) + 0.31 * U(1089 - 589 - 589) = 0.69 * √500 + 0.31 * √(-78) ≈ 11.8.
Since the utility of no insurance (33) is greater than the expected utility of buying insurance (11.8), unsafe divers will not buy insurance.
e) If only unsafe divers buy insurance and the premium is $589, the insurance company's profit is:
0.69 * 589 - (1 - 0.69) * 589 = 403.62 - 195.11 = $208.51.
a) The utility function U(W) = √W calculates the square root of wealth W to determine the utility.
b) Since the utility function is the same for both safe and unsafe divers, the utility of no insurance is the same for both categories.
c) To calculate the expected utility of buying insurance for safe divers, we consider the probabilities of having an accident or not.
utility function is applied.
d) Similar to part c, we calculate the expected utility of buying insurance for unsafe divers.
e) The insurance company's profit is obtained by multiplying the probability of unsafe divers buying insurance by the premium paid and subtracting the cost of covering accidents for unsafe divers who didn't buy insurance.
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A venture capital firm wants to invest in businesses with a high rate of return. in return, it will:_________
A venture capital firm wants to invest in businesses with a high rate of return. In return, it will Invest large amounts of money, provide necessary assistance and advice, and Provide information to help the entrepreneur prosper. Thus, option D is correct, All of the three above
A venture capital firm that seeks to invest in businesses with a high rate of return typically offers a combination of the following:
1. Invest large amounts of money: Venture capital firms have the financial resources to provide substantial investments to businesses with high growth potential. They often invest significant amounts of capital to fuel the growth and expansion of the business.
2. Provide necessary assistance and advice: Venture capital firms bring more than just financial capital to the table. They often have a team of experienced professionals who can offer valuable assistance and guidance to entrepreneurs. This assistance may include strategic advice, operational support, access to networks and partnerships, and expertise in areas such as marketing, finance, and business development.
3. Provide information to help the entrepreneur prosper: Venture capital firms can provide access to valuable information and resources that can help the entrepreneur succeed. This may include market research, industry insights, benchmarking data, and connections to potential customers, suppliers, or distribution channels. Sharing relevant information and knowledge can empower the entrepreneur to make informed decisions and optimize their business strategies.
By combining financial investment, hands-on support, and the sharing of information and resources, venture capital firms aim to increase the chances of success for the businesses they invest in while also maximizing their own returns.
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Complete Question:
(Bond valuation) Flora Co.’s bonds, maturing in 7 years, pay 4 percent interest on a $1,000 face value. However, interest is paid semiannually. If your required rate of return is 5 percent, what is the value of the bond? How would your answer change if the interest were paid annually?
If the required rate of return is 5% and Flora Co.'s bonds have a 4% interest rate, the bond is worth $1,050. If the interest were paid annually, the bond's value would increase because it would have a lower present value.
To calculate the bond's value, we'll need to use the following formula:
PV = C * [1 - (1 + r)-n / r] + FV / (1 + r)n, Where: PV = present value
C = semi-annual coupon payment (which is $20 in this case, or 4% of $1,000 divided by 2)FV = face value of the bond (which is $1,000)r = required rate of return (which is 5%)n = number of periods (which is 7 years, or 14 semi-annual periods) Plugging in the numbers, we get:
PV = $20 * [1 - (1 + 0.05 / 2)-14] / (0.05 / 2) + $1,000 / (1 + 0.05 / 2)14= $900.91 + $679.86= $1,580.77. Therefore, the bond is worth $1,580.77.If the interest were paid annually, the bond would only have a present value of $1,542.84.
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Endowment Economies There are two agents in our economy, A and B. The two agents have the same income (4,4) and the same utility function (where MU(C)=1/C each period). Agent A has ß=1 while agent B has p=0. 1. What is the tangency condition for each agent? (2 points) 2. Derive the intertemporal budget constraint (which is the same for both agents)? (2 points) 3. Derive each agent's consumption and saving functions. (4 points) 4. The equilibrium interest rate is 1+r=3. Solve for the consumption of each agent each period. (4 points) 5. Each agent has diminishing marginal utility, which means the marginal utility of the first unit is infinite. Given this, how is it possible for any agent with diminishing marginal utility to accept a consumption of zero in any period? (3 point)
Previous question
In an endowment economy with two agents, Agent A and Agent B, who have same income and utility function, consumption or saving functions, and solve for their consumption given an equilibrium interest rate.
1. The tangency condition for each agent is that the marginal utility of consumption (MU(C)) is equal to the price of consumption (p). For agent A, MU(C) = 1/C, and for agent B, MU(C) = 0 since p = 0.
2. The intertemporal budget constraint for both agents can be derived as follows: current consumption (C1) plus future consumption (C2) must equal total income (Y), which is the same for both agents. Therefore, C1 + C2 = Y.
3. Agent A's consumption and saving functions can be derived by maximizing utility subject to the budget constraint. Since agent A has ß = 1, their optimization problem is to maximize U(C1) + U(C2) subject to C1 + C2 = Y. The solution to this problem is that agent A consumes half of their income in each period: C1 = C2 = Y/2.
Agent B, on the other hand, has p = 0, which means they do not value future consumption at all. As a result, agent B consumes their entire income in the current period: C1 = Y and C2 = 0.
4. Given the equilibrium interest rate of 1+r = 3, Since both agents have the same income, agent A's consumption in each period is C1 = C2 = Y/2, which is equal to (4/2)/3 = 2/3. Agent B's consumption in the first period is C1 = Y = 4, and in the second period, C2 = 0.
5. Although agents have diminishing marginal utility, it is still possible for them to accept a consumption of zero in any period due to time preference and the trade-off between present and future consumption.
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Given all of the information provided in the attached
case:
(Show your work, calculations, and explain your answers
well)
Cost of Capital, Capital Structure:
Capital Structure theory addresses f
Capital structure theory addresses financial decisions that determine the proportionate amounts of debt and equity in a company's capital structure.
A firm's capital structure is the composition or combination of its financial liabilities and equity. This structure is made up of different types of securities issued by a company, such as bonds and stocks. The cost of capital is the amount a firm must pay to access different forms of capital, such as debt and equity. Cost of capital is often used in capital budgeting and is a crucial element in determining a firm's capital structure.
A company's capital structure is the composition of its financial liabilities and equity. It is made up of different types of securities issued by a company, such as bonds and stocks. Capital structure theory, on the other hand, addresses financial decisions that determine the proportionate amounts of debt and equity in a company's capital structure.
Therefore, capital structure theory and the cost of capital are essential concepts for companies to consider when making financial decisions. By considering these factors, companies can develop a capital structure that is tailored to their needs and that optimizes their financial position.
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Airway Express has an evening flight from Los Angeles to New York with an average of 80 passengers and a return flight the next afternoon with an average of 50 passengers. The plane makes no other trip. The charge for the plane remaining in New York overnight is $1,200 and would be zero in Los Angeles. The airline is contemplating eliminating th enight flight out of Los Angeles and replacing it with a morning flight. The estimated number of passengers is 70 in the morning flight and 50 in the returning afternoon flight. The one-way ticket for any flight is $200. The operating cost of the plane for each flight is $11,000. The fixed costs for the plane are $3,000 per day whether it flies or not.
a). Calculate and compare the profit under each flight. Should the airline replace its night flight from Los Angeles with a morning flight?
b). Should Airway Express continue to provide the flight between Los Angeles and New York at all? If Airway Express decides not to fly, it still has to pay the fixed costs of $3,000 per day. The evening with the return flight the next afternoon is counted as one day, not two days.
a) The profit under each flight can be calculated using the formula: Profit = Revenue - Cost As given, Operating cost per flight = $11,000Fixed cost per day = $3,000
One-way ticket price = $200
The charge for the plane remaining in New York overnight = $1,200
Profit earned on the evening flight from Los Angeles to New York: Revenue earned from the evening flight = 80 x $200 = $16,000
Cost of the evening flight = Operating cost per flight + charge for the plane remaining in New York overnight = $11,000 + $1,200 = $12,200Profit = $16,000 - $12,200 = $3,800
Profit earned on the morning flight from Los Angeles to New York: Revenue earned from the morning flight = 70 x $200 = $14,000
Revenue earned from the afternoon flight = 50 x $200 = $10,000
Total revenue earned = $14,000 + $10,000 = $24,000
Cost of the morning flight = Operating cost per flight + Fixed cost per day (as the plane will stay overnight in New York) = $11,000 + $3,000 = $14,000Profit = $24,000 - $14,000 = $10,000
The airline should replace its night flight from Los Angeles with a morning flight as it will increase its profit from $3,800 to $10,000.
b) The fixed costs of $3,000 per day will have to be paid by Airway Express even if they decide not to fly. If they decide not to fly, their revenue would be zero and the profit would be -$3,000.
Hence, Airway Express should continue to provide the flight between Los Angeles and New York.
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Your business plan for your proposed start-up firm envisions first-year revenues of $60,000, fixed costs of $30,000, and variable costs equal to one-third of revenue. What are break even sales at this point? (Round your answer to nearest whole number Break-even
The break-even sales at this point would be approximately $1
To calculate the break-even sales, we need to determine the point at which the total revenue equals the total cost, including both fixed and variable costs.
First-year revenues = $60,000
Fixed costs = $30,000
Variable costs = One-third of revenue = (1/3) * $60,000 = $20,000
Total cost = Fixed costs + Variable costs
Total cost = $30,000 + $20,000
Total cost = $50,000
Break-even sales = Total cost / Revenue per unit
Break-even sales = $50,000 / ($60,000 / 1)
Break-even sales = $50,000 / $60,000
Break-even sales ≈ 0.8333
To round the answer to the nearest whole number, the break-even sales would be 1.
Therefore, the break-even sales at this point would be approximately $1 (rounded to the nearest whole number).
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. What is the difference between general obligation bonds and revenue bonds? ( LG 6-2) 14. What is a callable bond? Is a call provision more or less attractive to a bond holder than a noncallable bond? (LG 6-2)
General obligation bonds are those bonds where the repayment of the principal and interest is backed by the full faith and credit of the issuer and its taxing power, while revenue bonds are those bonds where the repayment of the principal and interest is backed by the cash flows generated by the underlying project.
The issuer of general obligation bonds usually promises to levy taxes to repay the bondholders in the event that the cash flows from other sources are insufficient to meet the obligations. General obligation bonds are usually issued to finance public facilities like schools, roads, and water systems.
Revenue bonds, on the other hand, are those bonds where the repayment of the principal and interest is backed by the cash flows generated by the underlying project. Revenue bonds are usually issued to finance revenue-generating facilities like airports, hospitals, and toll roads. The issuer of revenue bonds usually promises to use the revenues generated by the underlying project to repay the bondholders.
Callable bonds are bonds that give the issuer the right to call back the bond before its maturity date. A callable bond usually has a call price that is higher than the bond's face value. The issuer of a callable bond usually calls back the bond when the interest rates in the market have fallen, thereby enabling the issuer to borrow at a lower rate. A call provision is less attractive to a bond holder than a noncallable bond.
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The ______ is (are) the MRP input detailing which end items are to be produced, when they are needed, and in what quantities.Group of answer choices Inventory records,Gross requirement,Assembly time chart,Master production schedule,Bill of materials
The answer is Master production schedule.
A master production schedule (MPS) is a document that specifies which end items are to be produced, when they are needed, and in what quantities. The MPS is the input to material requirements planning (MRP), which is a system that calculates the quantities of raw materials and components that need to be ordered to produce the end items in the MPS.
The other options are not correct. Inventory records track the current inventory levels of raw materials and components. Gross requirements are the total number of units of an end item that are needed to meet demand. Assembly time charts show the sequence of operations required to assemble an end item. Bills of materials list the components that are needed to produce an end item.
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Keira's business is expanding, and she believes she needs to purchase a new factory in order to satisfy the increasing demand for her product. The factory she wants to buy is worth $400,000. She can only afford to make a down-payment of $50,000 and needs to take out a loan from the bank in the amount of $350,000. The bank offers her today a 25-year loan with equal annual payments. The interest rate is 6%. What must be her annual payment so that she repays in 25 years the total loan that she obtains from the bank today? Assume her payments will start in one year. Show your work. Draw a timeline.
After using the formula for the equal annual payment of a loan, we can say that Keira's annual payment for the loan must be $27,416.61
To calculate Keira's annual payment for the loan, we can use the formula for the equal annual payment of a loan:
[tex]\[ P = \frac{A \cdot r \cdot (1 + r)^n}{(1 + r)^n - 1} \][/tex]
P = Annual payment
A = Loan amount ($350,000)
r = Interest rate per period (6% = 0.06)
n = Number of periods (25 years)
Plugging in the values, we get:
[tex]\[ P = \frac{350,000 \cdot 0.06 \cdot (1 + 0.06)^{25}}{(1 + 0.06)^{25} - 1} \][/tex]
Calculating this expression will give us Keira's annual payment:
[tex]\[ P \approx \$27,416.61 \][/tex]
Therefore, Keira's annual payment for the loan must be approximately $27,416.61 in order to repay the total loan of $350,000 over 25 years.
Timeline:
```
Year 1: $27,416.61 (Payment)
Year 2: $27,416.61 (Payment)
...
Year 25: $27,416.61 (Final Payment)
```
Please note that the timeline shows the equal annual payments starting from Year 1 and continuing for 25 years until the final payment is made.
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Which of the following is generally true with respect to portfolio diversification?
a. A portfolio of 10 stocks is likely to have a smaller standard deviation than a portfolio of 20 stocks.
b. A portfolio’s expected return increases as more stocks are added.
c. A portfolio’s standard deviation decreases as more stocks are added.
d. What matters is a portfolio’s expected return, not its standard deviation.
e. None of the above.
The correct answer is (c) A portfolio’s standard deviation decreases as more stocks are added.
Portfolio diversification is the practice of spreading investments across different assets to reduce risk. By including a greater number of stocks in a portfolio, the individual stock-specific risks tend to offset each other, resulting in a decrease in the overall portfolio's standard deviation. This reduction in standard deviation indicates a lower level of volatility and risk in the portfolio.
Option (a) is incorrect because a larger number of stocks in a portfolio tends to lead to a smaller standard deviation as it reduces the concentration risk associated with a smaller number of stocks.
Option (b) is incorrect because the expected return of a portfolio depends on the individual stocks' expected returns and their weightings within the portfolio, not solely on the number of stocks included.
Option (d) is incorrect because both the expected return and standard deviation are important considerations in portfolio management. Investors typically aim for a balance between risk and return, considering both factors when constructing their portfolios.
Therefore, the generally true statement with respect to portfolio diversification is that (c) a portfolio's standard deviation decreases as more stocks are added.
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Resolving Labor Disputes Main ldea: When organized labor negotiates wath managentent, o soutes are bound to nappen. Both sloes can use collective bargaifing to minimize such disputes. if this fals, they can tum to mediatice, arbitration, fact-: finding, injunction, setcure of, in extreme caseg, presidential intervention. 1. Which two parties take part in collective bargaining? 2. What is the diaference between mediation and arbitrotion? 3. What does n fact-finder do? 4. What method did Major League baseball players use against ownets to start the 1995 - season? 5. Who takes over business operations in the case of a selaure? 6. Describe two examples of presidential intervention.
Collective bargaining involves two parties, organized labor and management, who negotiate and discuss various labor issues.
Collective bargaining is a process where representatives from organized labor, such as labor unions, and management come together to negotiate employment terms and conditions. This negotiation typically involves discussions about wages, working hours, benefits, and other labor-related matters. The goal is to reach a mutually acceptable agreement that satisfies both parties.
Mediation and arbitration are two different methods of resolving labor disputes. Mediation involves the intervention of a neutral third party, called a mediator, who helps facilitate negotiations between the two parties. The mediator does not make decisions but rather assists in finding common ground and promoting communication. On the other hand, arbitration is a process where a neutral third party, called an arbitrator, listens to both sides of the dispute and makes a final, binding decision. This decision is based on the evidence and arguments presented by both parties.
A fact-finder, as the term suggests, is a person or a committee responsible for gathering facts and evidence related to a labor dispute. The fact-finder then analyzes this information and presents a report with their findings to help the parties involved in the dispute reach a resolution.
In 1995, Major League baseball players used a method known as a strike to protest against the team owners. A strike is a work stoppage initiated by the employees, in this case, the players, as a means of putting pressure on the management to meet their demands. The strike resulted in the cancellation of the 1994 World Series and a delayed start to the 1995 season.
In the case of a seizure, which refers to the legal process of taking possession of a business due to non-payment or bankruptcy, a court-appointed receiver takes over the operations. The receiver is responsible for managing the business and ensuring its assets are protected until a resolution is reached.
Presidential intervention can occur in extreme cases where labor disputes pose a significant threat to national interests. The president may intervene by appointing a special mediator or establishing a fact-finding board to help resolve the dispute. Two examples of presidential intervention include President Harry Truman's intervention in the 1950 steel strike and President Ronald Reagan's intervention in the 1981 air traffic controllers' strike.
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1)Consider a random process that consists offlipping two coins at once (or, the same cointwice) and recording the result. Suppose thecoins are both fair (50/50 chance of being"heads" or "tails"). Let the random variablehave the value if the outcome is two "heads,"1 if the outcome is one "heads" and one "tails,"and 2 if the outcome is two "tails." Determinep(x=0) 2)Consider a random process that consists offlipping two coins at once (or, the same cointwice) and recording the result. Suppose thecoins are both fair (50/50 chance of being"heads" or "tails"). Let the random variablehave the value if the outcome is two "heads,"1 if the outcome is one "heads" and one "tails,"and 2 if the outcome is two "tails." Determine p(x=1) 3)Consider a random process that consists of flipping two coins at once (or, the same coin
twice) and recording the result. Suppose the coins are both fair (50/50 chance of being
"heads" or "tails"). Let the random variable have the value if the outcome is two "heads,"
1 if the outcome is one "heads" and one "tails,"and 2 if the outcome is two "tails." Determine p(x=2) 3)onsider the random process "presidentialelection." Based on the best information you have, you estimate that the probability of the
candidate from the Conservative Party being elected is .34, the probability of the Liberal
Party's candidate winning is .36, the probabilityof the Independent Party's candidate winning is
29, and the probability that the election bepostponed or cancelled is .01. Determine theprobability that the winner will be either of the
two non-Independent candidates. (Exactanswer is required.) 4)The following are components of the probability distribution of a single random variable.
a)The standard deviation of the random variable
b)The third and fourth moments of the random
variable
c)The probabilities associated with each value of
the random variable
d)The expected value of the random variable
e)All the different possible values or range of values
of the random variable
f)The variance of the random variable
Out of the four possible outcomes (HH, HT, TH, TT), only one outcome corresponds to x=0 (two "heads"). The probability of this outcome is 0.25 (1/4). The probability of getting two "heads" when flipping two fair coins simultaneously is 0.25.
Two out of the four possible outcomes (HH, HT, TH, TT) correspond to x=1 (one "heads" and one "tails"). The probability of these two outcomes is 0.5 each. Therefore, p(x=1) = 0.5 + 0.5 = 1.The probability of getting one "heads" and one "tails" when flipping two fair coins simultaneously is 0.5. Probability of winner being Conservative or Liberal = 0.34 + 0.36 = 0.70 . To determine the probability of either the Conservative Party or the Liberal Party winning, we add the individual probabilities of their candidates winning. Thus, p(winner is Conservative or Liberal) = 0.34 + 0.36 = 0.70. The probability that the winner of the presidential election will be either the Conservative Party or the Liberal Party is 0.70. Standard deviation is a measure of the dispersion or variability of a random variable.
The third and fourth moments of a random variable provide information about its skewness and kurtosis. Variance is a measure of the spread or dispersion of a random variable .
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QUESTION 3
A husband and wife own a residential investment unit. Discuss
any GST or ABN implications
When a husband and wife own a residential investment unit, there may be GST (Goods and Services Tax) and ABN (Australian Business Number) implications to consider.
For GST, residential properties are generally exempt from GST. This means that if the husband and wife rent out their residential investment unit, they do not need to charge GST on the rental income.
However, if the husband and wife provide additional services such as cleaning or other amenities to their tenants, GST may be applicable to those services. In such cases, they would need to register for GST and charge GST on the services provided.
As for ABN implications, if the husband and wife are conducting their rental property business in a regular and continuous manner with the intention of making a profit, they may need to obtain an ABN. Having an ABN allows them to claim various tax deductions related to their investment property and simplifies their business dealings.
It's important to note that tax laws can be complex, so it's advisable to consult with a tax professional or seek further advice from the relevant tax authority to ensure compliance with current regulations.
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According to the text speculators perform an important function in the financial markets. They: Select one: A. Level out the price of securities B. Help to prevent securities fraud C. Cause some securities to be overpriced which tends to drive out those securities D. Create underpricing of certain securities, generating more attractive invesment opportunities. E. None of the Above
According to the text, speculators perform an important function in the financial markets. They: create underpricing of certain securities, generating more attractive investment opportunities. Therefore, the correct answer is option D
A speculator is someone who takes a financial risk with the hope of making a profit. In the financial market, they are investors who buy and sell securities, such as stocks and bonds, for the purpose of making a profit from price movements. Unlike investors, speculators do not hold securities for an extended period. Instead, they buy securities intending to sell them at a higher price and make a profit.
Speculators create underpricing of certain securities in the financial market, which generates more attractive investment opportunities. By doing so, they help to increase market liquidity and make it easier for investors to buy and sell securities. Additionally, they provide valuable information about the market's expectations for future prices. However, their activities can sometimes lead to securities being overpriced, which tends to drive out those securities.
Speculators do not level out the price of securities. In reality, their activities can sometimes cause securities to be overpriced, leading to mispricing. Additionally, they do not prevent securities fraud. Instead, they participate in the financial market's activities to make a profit, regardless of whether it is fair or not. . Therefore, the correct answer is option D
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Choose a market which has experienced a marked shock (unexpected change) in the past year. Avoid a market with expected seasonal variations (e.g. snow ticket sales) or one with known price fluctuations (e.g. petrol prices). Pick something that interests you, but one you can also apply the economic concepts from weeks 1 – 6. Consider the market, for example it can be easier to examine the impacts of a market shift in a town or country rather than an international shift. For instance, the shift in demand for avocados in Australia due to café closures with COVID-19 impacts farmers and consumers in Australia, and will affect GDP, and may increase unemployment etc. (2000 words)
Title: The Impact of COVID-19 on the Hospitality Industry in New York City
Introduction:
The COVID-19 pandemic has caused unprecedented disruptions across various industries globally.
One market that has experienced a significant shock is the hospitality industry. In this analysis, we will focus on the impact of COVID-19 on the hospitality industry in New York City (NYC). NYC is known for its vibrant tourism, bustling restaurants, and thriving hotel industry, making it an ideal case study to examine the effects of a sudden market shift.
Overview of the Hospitality Industry in NYC:
Before delving into the impact of COVID-19, let's provide an overview of the hospitality industry in NYC. The industry encompasses a wide range of BUSINESSes, including hotels, restaurants, bars, cafes, and tourism-related services. NYC has been a popular tourist destination, attracting millions of domestic and international visitors each year.
The Shock: COVID-19 and its Effects:
The arrival of the COVID-19 pandemic brought about a sudden and unexpected shock to the hospitality industry in NYC. The measures taken to control the spread of the virus, such as travel restrictions, lockdowns, and social distancing requirements, had severe implications for businesses in the sector.
a. Decline in Tourism: NYC experienced a significant decline in tourism as travel restrictions were imposed, flights were canceled, and people were advised to stay at home. The closure of borders and reduced travel demand resulted in a sharp decline in hotel bookings and tourist arrivals.
b. Restaurant Closures and Reduced Dining: To curb the spread of the virus, restaurants in NYC faced temporary closures and stringent operating restrictions. Indoor dining was suspended, and later reopened with limited capacity. These measures led to a substantial decline in restaurant revenues and forced many establishments to shut down permanently.
c. Impact on Employment: The hospitality industry is a significant employer in NYC. The shock caused by COVID-19 resulted in widespread layoffs and furloughs, leading to a surge in unemployment rates. Many workers in the industry, including hotel staff, waitstaff, and kitchen staff, faced job insecurity and income loss.
d. Supply Chain Disruptions: The shock to the hospitality industry had cascading effects on its supply chain. Suppliers of food, beverages, linens, and other essential goods and services also faced reduced demand and financial strain.
Economic Implications:
The impact of the COVID-19 shock on the hospitality industry in NYC has far-reaching economic implications. Some key areas to consider are:
a. GDP and Output: The decline in tourism, restaurant closures, and reduced consumer spending in the hospitality sector have contributed to a significant reduction in NYC's GDP. The contraction of the industry's output has ripple effects on related sectors, such as transportation, retail, and entertainment.
b. Unemployment and Income Inequality: The hospitality industry is labor-intensive and employs a diverse workforce. The shock to the industry resulted in mass layoffs and increased unemployment rates. This has exacerbated income inequality, particularly affecting low-wage workers who heavily rely on the industry for their livelihoods.
. Government Support and Stimulus Packages: To mitigate the economic fallout, the government introduced various support measures and stimulus packages. These included wage subsidy programs, loans, and grants to help businesses in the hospitality sector stay afloat and retain employees.
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5. (Yield to maturity) You are considering buying a 15 year semi-annual bond with a $1000 face value, 12% coupon rate, and a price 82.5% of face value. What rate of rate of return will this bond give
The Yield to Maturity (YTM) is the total return expected on a bond , The bond will provide a yield of approximately 4.998%.
In case the bond is held until maturity and all the interest payments are reinvested at the same rate.
This takes into account the present market price of a bond, its par value, coupon interest rate and the time remaining until maturity.
How to calculate Yield to Maturity:
For the given scenario,Face value of bond, FV = $1,000Market value of bond, MV = 82.5% of face value, MV = 0.825 x FVCoupon rate, C = 12%
Periodic payment, P = (C/2) x FV = 0.06 x $1,000 = $60Number of periods, n = 15 years
Number of coupon payments per year, m = 2Yield to Maturity can be calculated by using the following formula;YTM = (PMT + ((FV - PV) / n)) / ((FV + PV) / 2)
Where;PMT = periodic paymentFV = face valuePV = market value of bondn = number of periodsLet's put the values in the formula, YTM = (PMT + ((FV - PV) / n)) / ((FV + PV) / 2)YTM = (60 + ((1,000 - 825) / 30)) / ((1,000 + 825) / 2)YTM = (60 + (175 / 30)) / (1825 / 2)YTM = 0.049979 or 4.998%
So, the bond will provide a yield of approximately 4.998%.
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