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Theory and Modern Applications

Table 1 A comparison between the approximate solution and the exact solution corresponding to the European call options under the Merton model with \(\lambda =0\)

From: A combined compact difference scheme for option pricing in the exponential jump-diffusion models

S

Approximate solution

Exact solution

\(L_{\infty }\) error

90

0.36577

0.36646

6.9931e−04

100

3.63286

3.63507

2.2097e−03

110

11.50600

11.50588

1.2608e−04