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Submitted By susiya0828
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Assignment 7
Modern Portfolio Theory and Investment Analysis, 8th edition, Edwin J. Elton, Martin J. Gruber, Stephen J. Brown, and William N. Goetzmann (John Wiley & Sons, 2011)

1

Frank K. Reilly and Keith C. Brown, “Analysis of Investments and Management of Portfolio,” 9th edition, (South-Western, 2009) Chapter 5 Question 2

Question 10

Question 13

Question 15

2

The answers to the assignment questions

In the text, the return due to exchange-rate changes (RX) is shown to be equal to fxt/fxt-1 - 1, where fxt is the foreign exchange rate at time t expressed in terms of the investor's home currency per unit of foreign currency. Let fxt be the exchange rate expressed in terms of dollars and fx*t be the exchange rate expressed in terms of pounds. These two rates are simply reciprocals, i.e., fx*t = 1/fxt. So from the table in the problem we have: Period (1 + RX) (1 + R*X)
3

1 2 3 4 5

(for US investor) 2.5/3 = 0.833 2.5/2.5 = 1.000 2/2.5 = 0.800 1.5/2 = 0.750 2.5/1.5 = 1.667

(for UK investor) 3/2.5 = 1.200 2.5/2.5 = 1.000 2.5/2 = 1.250 2/1.5 = 1.333 1.5/2.5 = 0.600

The total return to a U.S. investor from a U.K. investment is (1 + RX)(1 + RUK)  1; the total return to a U.K. investor from a U.S. investment is(1 + R*X)(1 + RUS)  1. So: Return to U.S. Investor From U.S. Investment From U.K. Investment 10% 15% 5% 12% 6% 7.6% Return to U.K. Investor
4

Period 1 2 3 4 5 Average

(0.833)(1.05) (1)(0.95) (0.8)(1.15) (0.75)(1.08) (1.667)(1.1)

1 1 1 1 1

= 12.5% =  5.0% =  8.0% = 19.0% = 83.3% 7.76%

Period 1 2 3 4 5 Average

From U.K. Investment 5% 5% 15% 8% 10% 6.6%

From U.S. Investment (1.2)(1.1) (1)(1.15) (1.25)(0.95) (1.333)(1.12) (0.6)(1.06) 1 1 1 1 1 = 32.0% = 15.0% = 18.75% = 49.3% = 36.4% 15.73%

5

Using the data and averages from Problem 3 we have: For U.S. Investor

 US 

10  7.62

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