Question

In: Finance

Suppose you are considering following two risky assets to form a portfolio E(RA) = 15% STDDEV(RA)...

Suppose you are considering following two risky assets to form a portfolio

E(RA) = 15% STDDEV(RA) = σ A = 0.2418

E(R B) = 10% STDDEV(R B) = σ B = 0.1048

Cov (RA, R B) = -0.001

*Note : Cov (RA, R B) = σ A * σ B * Corr (RA, R B )

1. What are the portfolio weights for asset A and B, respectively, to achieve a Minimum-Variance Portfolio (MVP)?

2. What is the standard deviation of Minimum-Variance Portfolio (MVP)?

3. What is the Expected return of Minimum-Variance Portfolio (MVP)?

Solutions

Expert Solution

­


Related Solutions

Consider the following information: • A risky portfolio contains two risky assets. • The expected return...
Consider the following information: • A risky portfolio contains two risky assets. • The expected return and standard deviation for the first risky asset is 18% and 25%, respectively. • The expected return and standard deviation for the second risky asset is 18% and 25%, respectively. • The correlation between the two risky assets is .55. • The expected on the 10-year Treasury bond is 3%. Find the optimal complete portfolio. Assume the investor’s level of risk aversion is 3....
Consider the following information: A risky portfolio contains two risky assets. The expected return and standard...
Consider the following information: A risky portfolio contains two risky assets. The expected return and standard deviation for the first risky asset is 18% and 25%, respectively. The expected return and standard deviation for the second risky asset is 18% and 25%, respectively. The correlation between the two risky assets is .55. The expected on the 10-year Treasury bond is 3%. Find the minimum variance portfolio. Make sure to provide the weights, excepted return, and standard deviation of the portfolio...
Suppose a fund has a portfolio with two risky assets; stock and bond. Annual expected return...
Suppose a fund has a portfolio with two risky assets; stock and bond. Annual expected return of stock is 0.15 and standard deviation of 0.10 and expected return of bond is 0.08 and standard deviation of 0.07. The correlation-coefficient between stock and bond is 0.2. while t-bill has annual return of 0.03 Draw the opportunity set with 25% increment in bond fund. Also indicate the variance minimizing weight for bond and stock Draw the optimal CAL line and calculate the...
You can form a portfolio of two assets, A and B, whose returns have the following...
You can form a portfolio of two assets, A and B, whose returns have the following characteristics:                    Expected Return         Standard Deviation           Correlation A                  8%                           30%                                                                                                      .7 B                  18                                44 a. If you demand an expected return of 15%, what are the portfolio weights? (Do not round intermediate calculations. Round your answers to 3 decimal places.) Stock           Portfolio Weight A B b. What is the portfolio’s standard deviation? (Use decimals, not percents, in your calculations. Do not round intermediate...
3. Consider the following portfolio of two risky assets: the asset 1 with return r1 and...
3. Consider the following portfolio of two risky assets: the asset 1 with return r1 and the asset 2 with return r2. We invest x dollars in the asset 1 and (1-x) dollars in the asset 2, where 0<=x<=1. a. Calculate the expected value of the portfolio E[rp] b. Calculate the variance of the portfolio, Var(rp) c. Based on your findings on the part b. what kind of assets you should choose when constructing the portfolio. d. CAPM assets that...
You are trying to allocate your assets into a risky portfolio and the purchase of a...
You are trying to allocate your assets into a risky portfolio and the purchase of a risk free asset with a return of 2%. You use the following data to estimate information about the risky portfolio: Year Return 2014 -15% 2015 -5% 2016 30% 2017 -10% 2018 35% If you have a risk-aversion factor of 2.5, what percentage of your total portfolio should be in the risky portfolio?
You are trying to allocate your assets into a risky portfolio and the purchase of a...
You are trying to allocate your assets into a risky portfolio and the purchase of a risk free asset with a return of 2%. You use the following data to estimate information about the risky portfolio: Year Return 2014 -15% 2015 -5% 2016 30% 2017 -10% 2018 35% If you have a risk-aversion factor of 2.5, what percentage of your total portfolio should be in the risky portfolio?
You are considering two assets with the following characteristics: E(R1) = 0,15 E(σ1) = 0,10 w1...
You are considering two assets with the following characteristics: E(R1) = 0,15 E(σ1) = 0,10 w1 = 0,5 E(R2) = 0,20 E(σ2) = 0,20 w2 = 0,5 Answer below Define correlation coefficient Define risk averse, risk neutral, gambler behaviors Define the characteristic of an investor who tries to invest with a portfolio
You have been assigned to construct an optimal portfolio comprising two risky assets (Portfolios A &...
You have been assigned to construct an optimal portfolio comprising two risky assets (Portfolios A & B) while considering your client’s risk tolerance. The attached spread sheet shows historical monthly returns of the two portfolios; the S&P 500 index; and 90-day Treasury Bills. Also shown are the annualized returns for each for the period specified. The first risky asset (Portfolio A) is a US equity strategy that uses publically available valuation, technical and sentiment factors to assess which stocks are...
Paul is considering investing in a portfolio with two assets a and b. The following is...
Paul is considering investing in a portfolio with two assets a and b. The following is his prediction about future return of a and b in the next year: probability Asset a. Asset b 20% 12% 15% 30% 10% 12.5% 40% 7.5% 8% 10%. 5%. 4.5% a. Calculate the expected return and standard deviation of asset a and b b. If Paul is going to invest 40% of his wealth on asset a and the remaining to asset b, what...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT