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options anyone ?Santa @ 2010-03-08 10:07:30
Suppose that c1, c2, c3 are the prices of european call options with strike prices K1, K2, K3.
K3>K2>K1 and K3-K2 = K2-K1

All options have the same maturity.

SHOW THAT : c2 <= {0.5(c1+c3)}

Method to be used : porfolio that is long one option with K1, long one option with K3 and short two options with K2.