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1

Finance Sep 22, 2020

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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