17. Consider two exchange rates X/Y and Z/Y. (For example EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters (1,01) and (μ2, 02). (a) The cross-exchange rate X/Z (for example EUR/JPY) follows a standard Brownian motion (b) The cross-exchange rate X/Z (for example EUR/JPY) follows a general Brownian motion (c) The cross-exchange rate X/Z (for example EUR/JPY) follows a geometric Brownian motion (d) The cross-exchange rate X/Z (for example EUR/JPY) does not follow a geometric Brownian motion

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter6: Managing In The Global Economy
Section: Chapter Questions
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**Question 17**

Consider two exchange rates \(X/Y\) and \(Z/Y\). (For example, EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters \((\mu_1, \sigma_1)\) and \((\mu_2, \sigma_2)\). Which of the following statements is true?

(a) The cross-exchange rate \(X/Z\) (for example EUR/JPY) follows a standard Brownian motion.

(b) The cross-exchange rate \(X/Z\) (for example EUR/JPY) follows a general Brownian motion.

(c) The cross-exchange rate \(X/Z\) (for example EUR/JPY) follows a geometric Brownian motion.

(d) The cross-exchange rate \(X/Z\) (for example EUR/JPY) does not follow a geometric Brownian motion.
Transcribed Image Text:**Question 17** Consider two exchange rates \(X/Y\) and \(Z/Y\). (For example, EUR/USD and JPY/USD.) They both follow perfectly correlated geometric Brownian motions with parameters \((\mu_1, \sigma_1)\) and \((\mu_2, \sigma_2)\). Which of the following statements is true? (a) The cross-exchange rate \(X/Z\) (for example EUR/JPY) follows a standard Brownian motion. (b) The cross-exchange rate \(X/Z\) (for example EUR/JPY) follows a general Brownian motion. (c) The cross-exchange rate \(X/Z\) (for example EUR/JPY) follows a geometric Brownian motion. (d) The cross-exchange rate \(X/Z\) (for example EUR/JPY) does not follow a geometric Brownian motion.
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