What is the percentage error in the value

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An error in the assumption of a crucial input can lead to a sizable error in the value of an put or call option. Take an ATM call or put option with S=K=$50, Vol=35%, T=0.5 years, r=6%, dividends=0.

a) A plausible change over a week in the 3 month interest rate is 25bp... or +/- 0.25%. What is the percentage error in the value of that call or put?

b) A plausible error in forecasting the Vol? That can range +/- 5% around the best unbiased forecast you might make (here 35%). Again, compute the percentage error in the resulting put or call value.

c) Redo (a) if the call option was deep in the money ... take it that S=$70. Does the error you'd make w a higher or lower rate become more material?

d) Redo (b) to see the influence of error in the Vol input if the call option was deep OTM, say S=$30. These answers give you a feeling for which input is crucial and in which region.

Reference no: EM132697972

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