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Appendix c
PUT-cALL PArITy
Before the Black-Scholes-Merton model (BSM), there was no way to
directly calculate the value of an option, but there was a way to triangulate
put and call prices as long as one had three pieces of data:
1. The stocks price
2. The risk-free rate
3. The price of a call option to figure the fair price of the put, and vice
versa
In other words, if you know the price of either the put or a call, as long
as you know the stock price and the risk-free rate, you can work out the
price of the other option. These four prices are all related by a specific rule
termed put-call parity.
Put-call parity is only applicable to European options, so it is not ter-
ribly important to stock option investors most of the time. The one time it
becomes useful is when thinking about whether to exercise early in order
to receive a stock dividend—and that discussion is a bit more technical. Ill
delve into those technical details in a moment, but first, lets look at the big
picture. Using the intelligent option investors graphic format employed in
this book, the big picture is laughably trivial.
Direct your attention to the following diagrams. What is the differ -
ence between the two?