An Introduction to Mathematical Finance with Applications by Arlie O. Petters & Xiaoying Dong

An Introduction to Mathematical Finance with Applications by Arlie O. Petters & Xiaoying Dong

Author:Arlie O. Petters & Xiaoying Dong
Language: eng
Format: epub
Publisher: Springer New York, New York, NY


Here η n is the Sharpe ratio of the security given as the ratio of the spread between the expected total return rate and the risk-free rate7 across the time step [t 0, t 1], to the security risk across the same time step. The relationship ( 5.53) is a discrete-time example of Girsanov theorem (see Neftci [13, Chap. 14] and references therein).

We now give a heuristic proof of ( 5.53). Our approach is to compute the Sharpe ratio η n first. By ( 5.14) on page 219, the expectation in the numerator of ( 5.54) is



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