Jensen’s Inequality

1. Context

In this short video from FRM Part 2 curriculum, we explore the Jensen’s Inequality and what it implies for linear, convex and concave functions. We use expected values of a forward, a zero-coupon bond and a log contract to explore and understand how expected value of a function of a random variable compares with the function evaluated at the expected value of the random variable. The details of the reading in which this topic appears are given below:

AreaMarket Risk
ReadingThe Evolution of Short Rates and the Shape of the Term Structure
ReferenceBruce Tuckman and Angel Serrat, Chapter 8. The Evolution of Short Rates and the Shape of the Term Structure In Fixed Income Securities, 3rd Edition, (Hoboken, NJ: John Wiley & Sons, 2011).

2. Video