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N Period Binomial Option Pricing Model. Kevin Clarke. Call options A call option gives the holder the right to buy the underlying asset by a certain date for a certain price. Put options
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N Period Binomial Option Pricing Model Kevin Clarke
Call options A call option gives the holder the right to buy the underlying asset by a certain date for a certain price Put options A put option gives the holder the right to sell the underlying asset by a certain date for a certain price Options
Su ƒu S ƒ Sd ƒd One Step Binomial Tree • A derivative lasts for time T and is dependent on a stock
Pricing Options From a One Step Tree Consider a portfolio consisting of a long position in shares and a short position in one option. Assume that no arbitrage opportunities exist.
Su ƒu Su² ƒuu S ƒ Sd ƒd Sud ƒud Sd² ƒdd Two Step Binomial Tree
Four Step Binomial Tree S0u4 S0u3 S0u2 S0u2 S0u S0u S0 S0 S0 S0d S0d S0d2 S0d 2 S0d3 S0d4
Si+1,j+1 ƒi+1,j+1 Si,j ƒi,j Si+1,j ƒI+1,j General Case (p) (p-1)