PRIN.OF CORPORATE FINANCE
PRIN.OF CORPORATE FINANCE
13th Edition
ISBN: 9781260013900
Author: BREALEY
Publisher: RENT MCG
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Chapter 26, Problem 29PS

Hedging Price changes of two gold-mining stocks have shown strong positive correlation. Their historical relationship is

Average percentage change in A = .001 + .75 (percentage change in B)

Changes in 8 explain 60% of the variation of the changes in A (R2 = .6).

  1. a. Suppose you own $100,000 of A. How much of B should you sell to minimize the risk of your net position?
  2. b. What is the hedge ratio?
  3. c. Here is the historical relationship between stock A and gold prices:

    Average percentage change in A = −.002 + 1.2 (percentage change in gold price) If R2 = .5, can you lower the risk of your net position by hedging with gold (or gold futures) rather than with stock B? Explain.

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