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 bond rate, What is Bond Rate It is interest rate received on...

What is Bond Rate It is interest rate received on the face value or the par value of the bond. If a company or government issues a 10-year bond with 100$ as face value and 1

Differences between an ordinary annuity and an annuity due, 1. Describe the...

1. Describe the similarities and differences in between an ordinary annuity, an annuity due, and perpetuity.  Provide a methodical answer, including examples to demonstrate your po

Uncertainty and safety stocks, Uncertainty and Safety Stocks Usually r...

Uncertainty and Safety Stocks Usually requirements may not be certain and thus the firm holds safety stock to safeguard stock out cases.The safety stock guards against delays

Functions of capital markets, Functions of Capital Markets Functions o...

Functions of Capital Markets Functions of Capital Markets are as: 1. Providing long term funds that are essential for investment decisions. 2. Provide advices to investo

Determine the npv of a company, Example of NPV Value A company is fac...

Example of NPV Value A company is faced along with the following five (5) investment opportunities as:   Cost NPV P.I = Total P.v

Development banks and financial institutions, Development Banks and Financi...

Development Banks and Financial Institutions There are some sectors in the economy such may not secure adequate funds from commercial banks for different motives. a) May re

Assignment, Discuss the applicabilty of such cycle to poultry business(cons...

Discuss the applicabilty of such cycle to poultry business(consider broilers)

Calculate interest rate, Imagine Joy is the manager of a bank named Money ...

Imagine Joy is the manager of a bank named Money Talks Bank of Virginia . This bank has recently issued new loans to customers. Joy wants you, the business analyst to prepare a re

Dividend yield or gordon''s model, Dividend yield or Gordon's Model Th...

Dividend yield or Gordon's Model This model is used to determine the cost of various capital components in particular: Cost of equity - K e Cost of preferenc

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