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Prove using a no - arbitrage argument that a European put option on a non - dividend - paying stock is a convex function of
Prove using a noarbitrage argument that a European put option on a nondividendpaying
stock is a convex function of the strike price; that is if we denote by the put price when
the strike price is then
for all
Hints:
a suppose by contradiction that can you
construct an arbitrage strategy?
b following hint i the righthand side has a lower value, so you want to buy it units
of put option options with and units of put option options with and sell
the lefthand side a put option with strike
Answer.
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