Prove that the out-turn covariance between xT = log(ST /F(0, T )) and rT is given by

Question:

Prove that the out-turn covariance between xT = log(ST /F(0, T )) and rT is given by

image text in transcribed

where

image text in transcribed

This result neatly demonstrates the essential difference between lo-
cal correlation and implied correlation (from a Libor-equity outperformance option, for example) in stochastic rate problems.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer: