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show all working - don't copy and paste from google please answer the question

QUESTION 2.

Suppose that you have estimated the expected returns and betas of the following five stocks

Stock

Market Capitalisation ($m)

Beta

Expected Return (%)

A

300

0.5

7.00

B

30

0.9

10.60

C

270

1.1

11.80

D

20

1.4

14.20

E

50

1.7

16.60

The risk-free rate of interest and the expected return on the market are 3% and 11% per annum respectively. You are also told that the market size of companies in this market is normally distributed with a mean of 250 million and a standard deviation 90 million.

Required

(a) Showing the method and calculations, explain the context to which the data above is consistent with the Capital Asset Pricing Model (CAPM). (10 marks)

(b) Referring to the data and results in part (a), discuss whether any arbitrage opportunity exists. What advice would you give to an investor who would like to hold a portfolio with a beta equal to 1? (10 marks)

(Total 40 marks)

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