Question

In: Finance

You are considering investing in three assets. Asset A has an expected return of 15% and...

You are considering investing in three assets. Asset A has an expected return of 15% and standard deviation of 32%. Asset B has an expected return of 9% and standard deviation of 23%. Asset C is risk-free with an expected return of 5.5%. The correlation between A and B is 0.25. a) What is the expected return and standard deviation of the optimal risky portfolio? (2) b) Suppose your portfolio must yield an expected return of 12% and be efficient. That is, on the best feasible CAL. What is the standard deviation of your portfolio? (1) c) What is the proportion of your portfolio invested in A and B, respectively?

Solutions

Expert Solution


Related Solutions

Asset A has an expected return of 15% and standard deviation of 20%. Asset B has an expected return of 20% and standard deviation of 15%.
      1. Asset A has an expected return of 15% and standard deviation of 20%. Asset B has an expected return of 20% and standard deviation of 15%. The riskfree rate is 5%. A risk-averse investor would prefer a portfolio using the risk-free asset and _______.            A) asset A            B) asset B            C) no risky asset            D) cannot tell from data provided2. The Sharpe-ratio is useful for            A) borrowing capital for investing            B) investing available capital            C) correctly...
Consider the following two assets: Asset A’s expected return is 15% and return standard deviation is...
Consider the following two assets: Asset A’s expected return is 15% and return standard deviation is 20%. Asset B’s expected return is 10% and return standard deviation is 15%. The correlation between assets A and B is 0.5. (a) w1=0.75, w2=.50, find out expected returns and SD/VARIANCE (b) Instead of a correlation of 0.5 between assets A and B, consider a correlation of - 0.5 and re-compute the above.
6.You have assets A and B. Asset A has an expected return of 10%. The market...
6.You have assets A and B. Asset A has an expected return of 10%. The market portfolio return is 12%. The risk free rate is 2%. What is the expected return of asset B if the covariance between A and the market portfolio return is 0.032 and the covariance between B and the market portfolio return is 0.048? with detailed explanation please find expected return on asset B
You invest $100 in a risky asset with an expected rate of return of 15% and...
You invest $100 in a risky asset with an expected rate of return of 15% and a standard deviation of 15% and a T-bill with a rate of return of 5% and E (U)= E(r) - 0.5Aσ2. Suppose your risk aversion factor is 5. What weight would you assign to the risk-free asset? A) 0.8889. B) 0.1111. C) 0.2457. D) 0.2111.
You invest $100 in a risky asset with an expected rate of return of 15% and...
You invest $100 in a risky asset with an expected rate of return of 15% and a standard deviation of 15% and a T-bill with a rate of return of 5% (and a standard deviation of 0). 6. What percentages of your money must be invested in the risky asset and the risk-free asset, respectively, to form a portfolio with an expected return of 13%? A) 20% and 80% B) 25% and 75% C) 80% and 20% D) 75% and...
There are 2 assets. Asset 1: Expected return 7.5%, standard deviation 9% Asset 2: Expected return...
There are 2 assets. Asset 1: Expected return 7.5%, standard deviation 9% Asset 2: Expected return 11%, standard deviation 12%, correlation with asset 1 is 0.4 You hold 30% of your portfolio in asset 1 and 70% in asset 2. a) (1 point) What is the expected return of your portfolio? b) (1 point) What is the covariance between assets 1 and 2? c) (1 point) What is the standard deviation of your portfolio?
You are a risk-averse investor who is considering investing considering in two economies. The expected return...
You are a risk-averse investor who is considering investing considering in two economies. The expected return and volatility of all stocks in both economies is the same. In the first economy, all stocks move together in good times all prices rise together, and in bad times they all fall together. In the second economy, stock returns are independent, one stock increasing in price has no effect on the prices of other stocks. Which stock would you choose to invest in?
Consider a set of risky assets that has the following expected return and standard deviation: Asset...
Consider a set of risky assets that has the following expected return and standard deviation: Asset Expected Return E(r) Standard Deviation 1 0.12 0.3 2 0.15 0.5 3 0.21 0.16 4 0.24 0.21 If your utility function is as described in the book/lecture with a coefficient of risk aversion of 4.0  , then what is the second-lowest utility you can obtain from an investment in one (and only one) of these assets? Please calculate utility using returns expressed in decimal form...
You have the following assets available to you to invest in: Asset Expected Return Standard Deviation...
You have the following assets available to you to invest in: Asset Expected Return Standard Deviation Risky debt 6% 0.25 Equity 10% .60 Riskless debt 4.5% 0 The coefficient of correlation between the returns on the risky debt and equity is 0.72 2A. Using the Markowitz portfolio optimization method, what would the composition of the optimal risky portfolio of these assets be? 2B. What would the expected return be on this optimal portfolio? 2C. What would the standard deviation of...
You have the following assets available to you to invest in: Asset Expected Return Standard Deviation...
You have the following assets available to you to invest in: Asset Expected Return Standard Deviation Risky debt 6% 0.25 Equity 10% .60 Riskless debt 4.5% 0 given =The coefficient of correlation between the returns on the risky debt and equity is 0.72, previously solved = the composition of the optimal risky portfolio of these assets is -0.42, the expected return on this portfolio is 11.663796% and the standard deviation on this portfolio is 78.10% 2D. Hector has a coefficient...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT