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

Maturity on the bond, You buy a SML Bond for $980.  The bond has a face val...

You buy a SML Bond for $980.  The bond has a face value of $1000 and an yearly  coupon rate of 8%.  There are five years left until maturity. a. What is the yield to maturity on

Financial intermediaries, Financial Intermediaries These are instituti...

Financial Intermediaries These are institutions that link or mediate between the investors and savers: Some examples of financial intermediaries are as follow: 1. Comme

Financial instruments in money market, Financial Instruments in Money Marke...

Financial Instruments in Money Market or Discount Markets Financial Instruments in Money market involve as: 1. Commercial paper 2. Bills of exchange 3. Treasury bills

Plastic money or credit card finance, Plastic Money or Credit Card Finance ...

Plastic Money or Credit Card Finance This is finance of a kind whereby a company will make arrangements for the use of the services of credit card organizations via the purcha

Profitability in relation to investment, Profitability in relation to inves...

Profitability in relation to investment - Profitability Ratio a) Return on Investment (ROI) or return on total asset (ROTA) = (Net profit/ Total asset) x 100 The ratio i

What are the types of money and bank regulations, What are the types of Mon...

What are the types of Money and Bank Regulations? Types of Money : a. Commodity money b. A commodity-backed money c. Fiat money Bank Regulations: a. Deposit i

Fixed income securities, Fixed income security can be defined as the ...

Fixed income security can be defined as the financial obligation of an entity (known as the issuer), which promises to pay a specified amount of money on a pre-sp

High potential venture, High Potential Venture An organization begins w...

High Potential Venture An organization begins with the intent of growing quickly to annual sales of at least $30 to 50 million in 5 years. It also has the potential to have a f

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