Replication :-)

Joined
8/20/06
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115
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Here is a cute little problem -

Assume you have a stock, currently trading at S=100.... Consider a perpectual (no maturity) american binary option that pays you $1 if the stock ever crosses 150... i.e. as soon as the stock crosses 150, you exercise and you get 1$

historical mu=10% per annum, historical vol=25% per annum and r=0

How much is the option worth ?

sp
 
I believe this is question 3.3 from TFCrack's book. A very good exercise, nonetheless :)
 
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