(a) Make a chart similar to Fig. 6.9 showing the price of a put option using the...

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(a) Make a chart similar to Fig. 6.9 showing the price of a put option using the jump diffusion model with lognormal jumps for stock prices versus the GBM model. In order to compare the results with jump diffusion using N(μJ , σ2 J) jumps, find α and β to match the mean and variance,

H = LN = e+, o} = (e - 1) HN-

(b) Do the same for calls.

Data Given in Figure 6.9

a 16 12 8 0 90 lambda(days)= 0.10 jump mean= 1.003 jump std= 0.020 100 110 vanilla put 120 O 16 12 8 A D 80

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Finance With Monte Carlo

ISBN: 9781461485100

2013th Edition

Authors: Ronald W. Shonkwiler

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