Statistical Methods in Finance 2016

Dec 18 - 22, 2016


Abstract

Option Pricing and Credit Risk

by Mrinal Ghosh

In this talk we begin with a gentle introduction to Black - Scholes theory of option pricing. Then we describe Merton's structural approach to credit risk via option pricing. We present explicit expressions for debt price and default probability. Finally we employ non-linear filtering to develop an EM algorithm to compute debt price and default probability.