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
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
Problem 12E
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2ab050a-d13e-4a73-9fee-dc44d5d071e8%2Fe0ca934e-2cff-4a7f-82f0-c10c2e6c9778%2Fqzs6nxk_processed.png&w=3840&q=75)
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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