A client has a portfolio of common stocks and fixed-income instruments with a current value of £1,350,000.

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A client has a portfolio of common stocks and fixed-income instruments with a current value of £1,350,000. She intends to liquidate £50,000 from the portfolio at the end of the year to purchase a partnership share in a business. Furthermore, the client would like to be able to withdraw the £50,000 without reducing the initial capital of £1,350,000. The following table shows four alternative asset allocations.
Mean and Standard Deviation for Four Allocations (in Percent) B A D Expected annual return 16 12 9. 10 Standard deviatio

Address the following questions (assume normality for Parts B and C):
A. Given the client's desire not to invade the £1,350,000 principal, what is the shortfall level, RL? Use this shortfall level to answer Part B.
B. According to the safety-first criterion, which of the allocations is the best?
C. What is the probability that the return on the safety-first optimal portfolio will be less than the shortfall level, RL?

Stocks
Stocks or shares are generally equity instruments that provide the largest source of raising funds in any public or private listed company's. The instruments are issued on a stock exchange from where a large number of general public who are willing...
Partnership
A legal form of business operation between two or more individuals who share management and profits. A Written agreement between two or more individuals who join as partners to form and carry on a for-profit business. Among other things, it states...
Portfolio
A portfolio is a grouping of financial assets such as stocks, bonds, commodities, currencies and cash equivalents, as well as their fund counterparts, including mutual, exchange-traded and closed funds. A portfolio can also consist of non-publicly...
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Quantitative Investment Analysis

ISBN: 978-1119104223

3rd edition

Authors: Richard A. DeFusco, Dennis W. McLeavey, Jerald E. Pinto, David E. Runkle

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