In the absence of an explicit formula, we can estimate the change in the option price due

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In the absence of an explicit formula, we can estimate the change in the option price due to a change in an input-such as σ-by computing the following for a small value of ϵ:
Vega = BSCall(S, K, σ + ϵ, r, t, δ) − BSCall(S, K, σ − ϵ, r, t, δ)/2ϵ
a. What is the logic behind this calculation? Why does need to be small?
b. Compare the results of this calculation with results obtained from BSCallVega.
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Derivatives Markets

ISBN: 978-0321543080

4th edition

Authors: Rober L. Macdonald

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