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kozerog [31]
2 years ago
9

Percival Hygiene has $10 million invested in long-term corporate bonds. This bond portfolio's expected annual rate of return is

9%, and the annual standard deviation is 10%. Amanda Reckonwith, Percival's financial adviser, recommends that Percival consider investing in an index fund that closely tracks the Standard & Poor's 500 Index. The index has an expected return of 14%, and its standard deviation is 16%. The Treasury bill yield is 6%. A. Suppose Percival puts all his money in a combination of the index fund and Treasury bills. Can he thereby improve his expected rate of return without changing the risk of his portfolio measured as the standard deviation?B. Could Percival do even better by investing equal amounts in the corporate bond portfolio and the index fund? The correlation between the bond portfolio and the index fund is _.1.
Business
1 answer:
BartSMP [9]2 years ago
4 0

Answer:

Explanation:

a)We find the portfolio weights first. For a two security portfolio

sP^2 = x_1^2s_1^2 + 2x_1x_2s_1s_2r_1_2 + x_2^2s_2^2

(0.10)^2 = 0 + 0 + x_2^2(0.16)^2

 x2 = 0.625 and x1 = 0.375

Then

rp = x1r1 + x2r2

rp = (0.375 ´ 0.06) + (0.625 ´ 0.14)

  = 0.11

 = 11.0%

Hence, he can improve the expected rate of return without any change in the risk of the portfolio.

b)

The expected return is:

rp = x1r1 + x2r2

rp = (0.5 *´ 0.09) + (0.5 ´* 0.14)

= 0.115 = 11.5%

sP^2 = x_1^2s_1^2 + 2x_1x_2s_1s_2r_1_2 + x_2^2s_2^2

sP2 = (0.5)^2(0.10)^2 + 2*(0.5)(0.5)(0.10)(0.16)(0.10) + (0.5)^2(0.16)^2

sP2 = 0.0097

sP = 0.985 = 9.85%

Hence, he can never perform better by investing equal amount in bond portfolio and index fund. The expected return increases to 11.5% and standard deviation decreases to 9.85%.

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Answer:

Jones is liable to pay.

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Explanation:

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  • Implied contracts are created when two or more parties have no written contract.
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  1. Implied In-Fact Contracts: these are contracts which create an obligation between the parties based on the facts of the situation. For example, assume your neighbor hires you to wash his car every Friday for the entire holidays. You wash your neighbor’s car for the first four weekends of the holidays and get paid on Friday morning each time. The fifth Friday you wash the car and when you arrive at your neighbor’s house for your pay, your neighbor refuses to pay you.                                           The law will infer that there is a contract between you and your neighbor, even though you never put anything in writing. This is an implied in-fact contract.

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In the case between Jones and Smith, the law imposes a duty to perform a contract, and will enforce such a contract even against a person’s will, where the situation is such that without this legal intervention, one party would be <u>unfairly enriched</u> or advantaged by another party’s action.

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However, because one party would be unjustly enriched by another party’s action, the beneficiary of those actions must make restitution or pay fair value for the services provided, even though there was never any intention to enter into an agreement.

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