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

Actions of shareholders in agency conflict, Actions of Shareholders in Agen...

Actions of Shareholders in Agency Conflict a) Disposal of assets required like collateral for the debt in this. In this case the bondholder is exposed to more risk becaus

Tarniwala and dealer in non-cleared securities, Tarniwala and Dealer in N...

Tarniwala and Dealer in Non-cleared Securities Tarniwala: He/she is a specialist or jobber in selected shares. He/she makes market i.e. provide continuity to dealings. They

US Tsys, How often does the "on the run" tsy change?

How often does the "on the run" tsy change?

Example of replacement of assets, Example of Replacement of Assets Est...

Example of Replacement of Assets Estate Developers purchased a machine five years ago on a cost of £7,500.  The machine had a probable economic life of 15 years at the moment

Governmental and not for profit accounting - cafr, Obtain a copy of a Compr...

Obtain a copy of a Comprehensive Annual Financial Report (CAFR) for a state or local government for which you would have an interest. Answer the following questions regarding that

Cost of finance - capital structure, Cost of Finance - Capital Structure ...

Cost of Finance - Capital Structure This is the price the company pays to retail and acquire finance. To get finance a company will pay implicit costs that are commonly recogn

Operating cycle, Discuss the applicability of an operating cycle in the veg...

Discuss the applicability of an operating cycle in the vegetable growing business

calculate the growth rate, The Mountain Fresh Company had earnings per sha...

The Mountain Fresh Company had earnings per share (EPS) of $6.32 in 2006 and $11.48 in 2011. The company pays out 30 percent of its earnings as dividends per share (DPS), and the

Cost of retained earnings common equity, Clemson Software is considering a ...

Clemson Software is considering a new project whose data are shown below. The required equipment has a 3-year tax life, after which it will be worthless, and it will be depreciate

Interest, #what is an interest?

#what is an interest?

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