What is expected return, Finance Basics

Assignment Help:

1. Using the variance-covariance matrix (∑) and the expected return vector (er) given in the appendix, calculate the set of weights that correspond to the portfolio that maximizes the Sharpe Ratio assuming a risk free rate of return of 3% per year, subject only to the constraint that the sum of the weights must be 1.

2. For the portfolio derived in (1) above, determine the expected annual return and the annual standard deviation for that portfolio. Also determine the Sharpe Ratio.

3. For each of the individual assets that comprise the optimal portfolio that you determined in (1) and (2) above, calculate the ratio of the expected return for each asset in excess of the risk-free rate to the marginal variance for that asset. Compare these values with the corresponding value for the portfolio as a whole. Is this what you expected? Why or why not?

4. Using the results determined above, if an investor has a risk aversion factor of 1.3 (A), identify his investment allocation to each individual asset included in his overall portfolio. What is his expected return? What is the standard deviation of that portfolio?

5. Repeat problem (4), but for an investor with a risk tolerance factor of 3.8 (A). Do the differences between the portfolio determined in (5) and the portfolio determined in (6) make sense? Why or why not?

6. Say that you run a well-diversified mutual fund and the expected return on that fund is 16.2% and the standard deviation of that fund is 30.7%. What is the largest fee that you can charge annually for investors wanting to invest in your fund in order for investors to be indifferent between investing in your fund or in the optimal portfolio that you determined in step (2)?

7. Calculate the betas for each of the individual assets that comprise the optimal portfolio with respect to that optimal portfolio.

8. Calculate the expected returns using the betas that you determined in (8) and the market expected return that you calculated in (2). The risk free rate is still 3%. Are these expected returns consistent with the input data?


Related Discussions:- What is expected return

Define meaning of investment, Define Meaning of Investment Meanin...

Define Meaning of Investment Meaning of Investment: Investment involves making of a sacrifice in the present with hope of deriving future advantages. Investment has many

Question 7.1, Assume the managers of Fort Winston Hospital are setting the ...

Assume the managers of Fort Winston Hospital are setting the price on a new outpatient service. Here are the relevant data estimates. Variable costs $ 5.00 Annual fixed c

Agency theory, Agency Theory An agency relationship arises whether on...

Agency Theory An agency relationship arises whether one or more parties identified the principal contracts or hires another identified an agent to perform on his behalf some

Shareholders expectation and growth stage, Shareholders Expectation and Gro...

Shareholders Expectation and Growth Stage Growth Stage Dividend policy is likely to be influenced with firm's growth stage as like a young rapidly growing firm is probabl

Restrictive bond or debt covenant, Restrictive Bond or Debt Covenant I...

Restrictive Bond or Debt Covenant In this case the debenture holders will impose strict conditions and terms on the borrower. These restrictions may comprise: a) No disposal

Australi a, i ordered case study 1 susam and malcom. when i open the docume...

i ordered case study 1 susam and malcom. when i open the document is completely different, not the same case study an is only relivent in the usa not australia... do you have the c

Comparison between debt finance and ordinary share capital, Comparison betw...

Comparison between Debt Finance and Ordinary Share Capital Differences between Debt Finance and Ordinary Share Capital as Equity Finance as   Ordina

What is expected return, 1. Using the variance-covariance matrix (∑) and th...

1. Using the variance-covariance matrix (∑) and the expected return vector (er) given in the appendix, calculate the set of weights that correspond to the portfolio that maximizes

Computation of payback period method, Computation of Payback Period Method ...

Computation of Payback Period Method 1. Under uniform annual incremental cash inflows - if the venture or an asset generates uniform cash inflows then the payback period (PB

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd