Suppose that there are only two risky assets in the economy: stock X and stock Y. In addition, there is a risk-free asset Z. When the capital market is in equilibrium, the following is observed about the portfolios held by Investors A and B: Investor A (a) (b) (c) Amount invested in X Amount invested in Y Amount invested in Z Total value of portfolio £200 £300 £500 £1,000 Investor B ? ? £2,000 £10,000 According to the Capital Asset Pricing Model, what must be the values of Investor B's holdings of stock X and stock Y? Which investor is more risk-averse? Explain why. The expected rate of return on Investor A's portfolio is 8.5%, and that on Investor B's portfolio is 10%. How should Investor B adjust her portfolio to obtain an expected rate of return of 15% while ensuring that her portfolio is mean-variance efficient? What are the amounts invested X, Y and Z in Investor B's new portfolio?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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2.
Suppose that there are only two risky assets in the economy: stock X and stock Y. In addition,
there is a risk-free asset Z. When the capital market is in equilibrium, the following is observed
about the portfolios held by Investors A and B:
(a)
(b)
(c)
Amount invested in X
Amount invested in Y
Amount invested in Z
Total value of portfolio
Investor A
£200
£300
£500
£1,000
Investor B
?
?
£2,000
£10,000
According to the Capital Asset Pricing Model, what must be the values of Investor B's
holdings of stock X and stock Y?
Which investor is more risk-averse? Explain why.
The expected rate of return on Investor A's portfolio is 8.5%, and that on Investor B's
portfolio is 10%. How should Investor B adjust her portfolio to obtain an expected rate of
return of 15% while ensuring that her portfolio is mean-variance efficient? What are the
amounts invested X, Y and Z in Investor B's new portfolio?
Transcribed Image Text:2. Suppose that there are only two risky assets in the economy: stock X and stock Y. In addition, there is a risk-free asset Z. When the capital market is in equilibrium, the following is observed about the portfolios held by Investors A and B: (a) (b) (c) Amount invested in X Amount invested in Y Amount invested in Z Total value of portfolio Investor A £200 £300 £500 £1,000 Investor B ? ? £2,000 £10,000 According to the Capital Asset Pricing Model, what must be the values of Investor B's holdings of stock X and stock Y? Which investor is more risk-averse? Explain why. The expected rate of return on Investor A's portfolio is 8.5%, and that on Investor B's portfolio is 10%. How should Investor B adjust her portfolio to obtain an expected rate of return of 15% while ensuring that her portfolio is mean-variance efficient? What are the amounts invested X, Y and Z in Investor B's new portfolio?
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