What is the second partial derivative of pt t with respect


(a) What is the second partial derivative of P(t, T) with respect to r in the Vasicek and CIR models.

(b) In Section 30.2,  is presented as an alternative to the standard duration measure D. What is a similar alternative to the convexity measure in Section 4.9?

(c) What is  for P(t, T)? How would you calculate  for a coupon-bearing bond?

(d) Give a Taylor series expansion for ?P(t, T) in terms of ?r and (?r)2 for Vasicek and CIR.

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Financial Econometrics: What is the second partial derivative of pt t with respect
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