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

What is nominal and real return, What is Nominal and Real Return Whi...

What is Nominal and Real Return While nominal return is the return in nominal rupees, real return is equal to the nominal return adjusted for changes in prices i.e. rate of

Similarities between equity finance and preference, Similarities between Eq...

Similarities between Equity Finance and Preference Similarities among Equity Finance and Preference are as follows: a) Both may be permanent whether preference share capita

estimate the price of the bond, Stardusts has 1 debt issue outstanding.  T...

Stardusts has 1 debt issue outstanding.  The debt matures on August 15, 2017, and has a 6.25% coupon.  Coupons are paid semiannually.  The bond is priced to yield 1.61% compound se

Benefits of payback period, Benefits of Payback Period 1. use simply a...

Benefits of Payback Period 1. use simply and understand and it has created it popular among in ascertaining the viability of venture executives, mainly traditional financial m

Matching approach - financing current assets, Matching Approach - Financing...

Matching Approach - Financing Current Assets This approach is further referred to as the hedging approach. Beneath this approach, the firm adopts a financial plan that involve

International finance, WHy does most interbank currency trading worldwide i...

WHy does most interbank currency trading worldwide involve the US dollar?"

Marginal cost and marginal revenue, Use the concepts of marginal cost and m...

Use the concepts of marginal cost and marginal revenue to derive an optimal capital budget for Company X, which has identified 7 possible investment projects and determined its cos

Finance Project , Five years ago, you bought a house for $151,000, with a d...

Five years ago, you bought a house for $151,000, with a down payment of $30,000, which meant you took out a loan for $121,000. Your interest rate was 5.75% fixed. You would like to

Factors affecting share prices, Factors Affecting Share Prices The ent...

Factors Affecting Share Prices The entire sorts of influences affect share prices. These influences involves as: 1. The current profit record of the company particularly th

Compute the payback period - example, Compute the Payback Period - Example ...

Compute the Payback Period - Example Cedes restriction has the following details of two (2) of the future production plans. Just one of these machines will be purchased and su

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