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Date Submitted: 04/21/2010 03:23 AM

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Problem Set #1

1) 10.5

为什么投资组合不能消除全部风险?

2) 10.14

What is the formula for beta? Why is beta the appropriate measure of risk for a single security in a large portfolio?

3) 10.21

(English version 10.19)

Assume that there are two stocks with the following characteristics. The covariance between the returns on the stock is 0.001.

Expected Return Standard Deviation

A 0.05 0.1

B 0.10 0.2

a. What is the expected return on the minimum variance portfolio?

b. If Cov(RA,RB) = -0.02, what are the minimum variance weights?

c. What is the portfolio variance when Cov(RA,RB) = -0.02?

4) Problem 10.34

Suppose the current risk-free rate is 7.6%. Potpourri Inc. Stock has a beta of 1.7% and an expected return of 16.7%. (Assume the CAPM is true.)

a) What is the risk premium on the market?

b) Magnolia Industries stock has a beta of 0.8. What id the expected return on the magnolia stock?

c) Suppose you have invested $10,000 in both Potpourri and Magnolia, and the beta of the portfolio is 1.07. How much did you invest in each stock? What is the expected return of the portfolio?

(5) 12.10. 一个杠杆企业的项目贴现率相对于使用证券市场线所计算出的权益成本是高还是低?为什么?(仅考虑与企业本身风险相当的项目。)

(6) 12.11. 什么因素决定了一只股票的beta值?并定义和描述每一个因素。

(7) 7.8. Scott投资有限公司在考虑购买一批具有五年使用寿命,价值50万元的电脑。这批电脑将按照1986年税收改革法案所制定的要求进行折旧。(见表7.3折旧规定)。五年后电脑的市值为10万元。使用这批电脑将节省五个办公人员,即每年减少12万元工资。同时可减少10万营运资本,营运资本在期末收回。公司所得税率为34%。采用12%的贴现率,是否该购买这批电脑?

(8) 15.19. Green制造公司计划宣布发行200万永续债券,息票率为6%。公司目前是一个完全股权融资的企业,股票总市值1000万,发行在外总股本为50万。在发行债券之后,公司将无限期保持新的资本结构。预期每年税前收入为150万,且预计在可预见的将来收入不变。公司所得税率为40%。

A, 确定公司当前总的要求回报率?

B,写出公司在宣布发行债券前的以市值为基础的资产负债表。

C,写出宣布后的以市值为基础的资产负债表。

D,公司将回购多少股票?

F,在资本重组后的权益成本是多少?

(9) 15.20.Nikko公司每年息税前收入均为400万。税后完全股权融资的成本为15%。公司税率为35%,债务成本为10%,公司债务总额为1000万。

A. 确定公司价值?

B. 确定公司WACC?

C. 确定权益成本?

(10) 16.14....