Question
Complete an amortization schedule for a $25,000 loan to be repaid in equal installments at the end of each of the next 3 years. The
What percentage of the payment represents interest and what percentage represents principal for each of the 3 years? Do not round intermediate calculations. Round your answers to two decimal places.
Why do these percentages change over time?
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2. Stocks A and B have the following probability distributions of expected future returns:
Probability | A | B | ||
0.1 | (5 | %) | (33 | %) |
0.2 | 4 | 0 | ||
0.4 | 11 | 22 | ||
0.2 | 23 | 26 | ||
0.1 | 36 | 35 |
- Calculate the expected rate of return, , for Stock B ( = 12.90%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
- Calculate the standard deviation of expected returns, A, for Stock A (B = 18.94%.) Do not round intermediate calculations. Round your answer to two decimal places.
%
Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places.
Is it possible that most investors might regard Stock B as being less risky than Stock A?
- If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
- If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.
- If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
- If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
- If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in a portfolio sense.
Assume the risk-free rate is 1.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to four decimal places.
Stock A:
Stock B:
Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b?
- In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
- In a stand-alone risk sense A is less risky than B. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense.
- In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
- In a stand-alone risk sense A is less risky than B. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense.
- In a stand-alone risk sense A is more risky than B. If Stock B is less highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense.
3. Nesmith Corporation's outstanding bonds have a $1,000 par value, a 12% semiannual coupon, 9 years to maturity, and a 14% YTM. What is the bond's price? Round your answer to the nearest cent.
$
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