Exercise 5.1 Suppose that r is an Ornstein-Uhlenbeck with parameters a, b, under the equivalent martingale

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Exercise 5.1 Suppose that ˜r is an Ornstein-Uhlenbeck with parameters

a, b, σ under the equivalent martingale measure.

(a) Find

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(b) For any x ∈ R and u ∈ R, find

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The last expectation can be useful for approximating the value of a Bermudan call or put option on a zero-coupon bond.

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