September 2022
Beginner
560 pages
17h 36m
English
Content preview from Fixed Income Securities, 4th Edition
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APPENDIX TO CHAPTER 8Expectations, Risk Premium, Convexity and the Shape of the Term Structure
This appendix proves Equation (8.18) along the lines of Ingersoll (1987).1 Assume that 
, the single, instantaneous rate factor, follows the process,
Let 
be the full price of some security that depends on 
and time. Then, by Ito's lemma,
where 
, 
, and 
denote the partial first derivatives with respect to 
and 
and the second partial derivative with respect to . Dividing both sides of ...
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