Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.2 - Assess Your Understanding - Applying the Concepts - Page 156: 44c

Answer

The risk decreases because the summation of squares in the risk formula (standard deviation of rate of return) decreases.

Work Step by Step

Because the mean rate of return (reward) is a number between the rate of return in the U.S. and the foreign rate of return. At first, it moves from the rate of return in the U.S. to the foreign rate of return. This way, the risk decreases because the summation of squares bellow decreases. $Risk=\sqrt {\frac{(rate~of~return_{U.S.}-reward)^2+(rate~of~return_{foreign}-reward)^2}{2}}$
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