CHAPTER 9: DIVIDEND YIELD MODEL
9.1
Overview
I |
n the standard
Black-Scholes option pricing analysis, the underlying asset pays zero dividends
over the life of the option. Here we consider
relaxing this assumption to allow for the effects of a constant continuous
dividend yield over the life of the option.
The constant continuous
dividend yield option pricing model (Merton, 1974) provides a useful framework
for deriving a variety of different models to price, for example, currency
options, interest rate caps and floors, and options on futures.
In topic 9.2,
we develop the Constant Continuous Dividend Yield Option Pricing Model and then
examine the sensitivity of the option's value to small changes in the underlying
variables in topic 9.3, titled Comparative
Statics.