Question

In: Finance

For the next 7 questions suppose the following probability distribution for Stock Fund (S) and Bond...

For the next 7 questions suppose the following probability distribution for Stock Fund (S) and Bond Fund (B) holds:

Expected Return

SD (σ)

Correlation Coefficient

Bond Fund

10%

10%

0

Stock Fund

15%

25%


What is the covariance between the Stock Fund and the Bond Fund?

-120

-100

-75

-60

0

What is the expected return on a portfolio which is 40% invested in the stock fund and the rest in the bond fund?

10%

12%

13%

14%

16%

What is the standard deviation of the return on the above portfolio?

9.98%

10.58%

11.66%

13.56%

14.56

Now, introduce the risk-free asset. If the risk-free rate of return is 8%, what is the proportion of the optimal (tangent) risky portfolio, invested in Stock Fund?

15.33%

18.18%

23.33%

33.33%

35.90%

What is the expected return on the optimal (tangent) risky portfolio?

11.67%

11.80%

13.33%

14.87%

15.17%

What is the standard deviation of the return on the optimal (tangent) risky portfolio?

9.21%

9.57%

10.67%

11.03%

13.54%

Solutions

Expert Solution


Related Solutions

Consider the following probability distribution for Stock Fund (S) and Bond Fund (B). State Probability Return...
Consider the following probability distribution for Stock Fund (S) and Bond Fund (B). State Probability Return on Bond Fund Return on Stock Fund 1 .2 -10% 20% 2 .4 10% 30% 3 .4 18% -10% The expected return and the standard deviation of the Stock Fund are 12% and 18.33%, respectively. What is the expected return of Bond Fund? 8.2% 8.5% 8.9% 9.2% 9.6% What is the standard deviation of Bond Fund? 8.57% 9.23% 9.45% 10.25% 12.78% What is the...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return   Severe recession 0.05        −44%        −13%            Mild recession 0.25        −16%        11%            Normal growth 0.40        10%        4%            Boom 0.30        30%        3%              b. Calculate the values of expected return and variance for the stock fund. (Do not round intermediate calculations. Enter...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return   Severe recession 0.05        −36%        −11%            Mild recession 0.20        −12%        13%            Normal growth 0.40        15%        4%            Boom 0.35        32%        5%          Calculate the value of the covariance between the stock and bond funds. Do not round intermediate calculations. Enter a decimal...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.05 −25% −10% Mild recession 0.25 −5% 16% Normal growth 0.40 10% 9% Boom 0.30 15% −6% a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.)   Mean return % Variance %-Squared b. Calculate the value of the covariance...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.05 −32% −11% Mild recession 0.25 −12% 17% Normal growth 0.40 17% 10% Boom 0.30 22% −7% a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.)   Mean return % Variance %-Squared b. Calculate the value of the covariance...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.05 −26% −11% Mild recession 0.25 −6% 17% Normal growth 0.40 11% 10% Boom 0.30 16% −7% a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.)   Mean return % Variance %-Squared b. Calculate the value of the covariance...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return   Severe recession 0.05        −36%        −11%            Mild recession 0.20        −12%        13%            Normal growth 0.40        15%        4%            Boom 0.35        32%        5%         1A) Calculate the values of expected return for the stock fund. (Do not round intermediate calculations. Enter your answer as...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return   Severe recession 0.05        –30%        –9%            Mild recession 0.25        –10%        15%            Normal growth 0.40        15%        8%            Boom 0.30        20%        –5%          b. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of...
Consider the following table:     Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return   Severe recession 0.05        −38%        −8%            Mild recession 0.25        −16%        8%            Normal growth 0.40        18%        5%            Boom 0.30        32%        −5%              b. Calculate the values of expected return and variance for the stock fund. (Do not round intermediate calculations. Enter...
Consider the following table: Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return...
Consider the following table: Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.10 –43 % –10 % Mild recession 0.20 –23 % 16 % Normal growth 0.40 28 % 9 % Boom 0.30 33 % –6 % a.Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b.Calculate the value of the covariance...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT