If f(x, ) 0 in the initial value problem with u(x, 0) = 0, and
Question:
If f(x, τ ) ≥ 0 in the initial value problem
with
u(x, 0) = 0, and u → 0 as |x| → ∞,
then u(x, τ ) ≥ 0. Hence show that if C1 and C2 are European calls with volatilities σ1 and σ2 respectively, but are otherwise identical, then C1 > C2 if σ1 > σ2.
Use put-call parity to show that the same is true for European puts.
Transcribed Image Text:
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