APPENDIX TO CHAPTER 2Swap, Spot, and Forward Rates

A2.1 CONTINUOUS COMPOUNDING

Equation (2.7) gives the proceeds of investing upper F for upper N periods at the rate ModifyingAbove r With caret, which is compounded n times per year. By the definition of n, there are n upper T periods over upper T years. Therefore, with upper F equals 1, (2.7) becomes,

Under continuous compounding, interest is paid every instant, so that the proceeds of an investment that is continuously compounded over upper T years grows to the limit of Equation (A2.1) as approaches infinity. Taking ...

Get Fixed Income Securities, 4th Edition now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.