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1. Stocks A and B have the following probability distributions of expected future returns: ? B Probability 0.1 0.2 0.3 (12%) (32%) 4 0 13 19 0.3 24 26 0.1 35 46 a. Calculate the expected rate of return, rs, for Stock B (rA = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, OA, for Stock A (03 = 20.08%.) Do not round intermediate calculations. Round your answer to two decimal places. % c. Now calculate the coefficient of variation for Stock B. Round your answer to two decimal places. d. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. 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. II. 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. III. 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. IV. If Stock B is less highly correlated with the market than A, then it might have lower beta than Stock A, and hence be less risky in a portfolio sense. V. 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.
2. you will receive $17,000 in 7 months and another $11,000 in 21 months. If the discount rate is 7% per annum (compounding monthly) for the first 10 months, and 14% per annum (compounding monthly) for the next 11 months, what single amount received today would be equal to the two proposed payments? (answer to the nearest whole dollar; don’t include the $ sign or commas)
3. Moving Cash Flows What is the value in year 12 of a $1.700 cash flow made in year 5 when the interest rates are 9 percent? Multiple Choice $277100 $310767 $6041 781.53
Expert Solution
1. Expected Return = Sum of all ( Probabilities of an outcome * Returns )
Kindly Find the attached Table, Answer is marked in yellow.
| Probability of an outcome | Returns (A) | Returns (B) |
| 0.1 | -0.12 | -0.32 |
| 0.2 | 0.04 | 0 |
| 0.3 | 0.13 | 0.19 |
| 0.3 | 0.24 | 0.26 |
| 0.1 | 0.35 | 0.46 |
| Expected Return=> | 14.20% | 14.90% |
(b) Standard Deviation => Square root of [Sum of all { Probability of an Outcome * ( Mean Return - Returns )2 } ]
| Probability of an outcome | Returns (A) | Returns (B) | Squared Deviations (A) | Squared Deviations (B) | Probabilty*Squared Deviations (A) | Probabilty*Squared Deviations (B) |
| 0.1 | -0.12 | -0.32 | 6.86% | 22.00% | 0.0068644 | 0.0219961 |
| 0.2 | 0.04 | 0 | 1.04% | 2.22% | 0.0020808 | 0.0044402 |
| 0.3 | 0.13 | 0.19 | 0.01% | 0.17% | 4.32E-05 | 0.0005043 |
| 0.3 | 0.24 | 0.26 | 0.96% | 1.23% | 0.0028812 | 0.0036963 |
| 0.1 | 0.35 | 0.46 | 4.33% | 9.67% | 0.0043264 | 0.0096721 |
| Expected Return=> | 14.20% | 14.90% | Standard Deviations=> | 12.73% | 20.08% |
(c)
| Coefficient of Variation Formula=> | Mean/Standard Deviation |
| Coefficient of Variation=> | 14.90%/20.08% = 74.21% |
(d)
Option V
The Standard Deviation of Stock B is more than Stock A, Hence, Stock B is more risky than Stock A.
And if Stock B's Beta is less highly correlated with Market than Stock A, then it might have a higher beta than stock A and hence be more risky in a portfolio sense.
2.
PV of 17000 in 7 months -
n = 7 months
i = 7% per annum or 0.583% per month
FV = 17000
PV of 11,000 shall be conputed in 2 steps.
PV of 11,000 received at the end of 21 at end of 10 month is,
n = 11 months (21-10)
i = 14% per annum or 1.167% per month
FV = 11,000
PV of 9168 today shall be,
n = 10 months
i = 7% per annum or 0.583% per month
FV = 9168
So, PV of two payments = 8650 + 16322 = 24,972
So, 24,972 received today will be equal to the pv of 2 payment.
please see the attached file.
3. Please use this google drive link to download the answer file.
https://drive.google.com/file/d/1LU-p4KfWicZ6keIIhCskVBH03lw78sSa/view?usp=sharing
Note: If you have any trouble in viewing/downloading the answer from the given link, please use this below guide to understand the whole process.
https://helpinhomework.org/blog/how-to-obtain-answer-through-google-drive-link
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