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Theory and Modern Applications

Table 4 Check the validity of Theorem 1 for the European call options under the Merton model: \(\lambda =0\), \(T=1\) and \(S=30\)

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

(h,k)

\(E=L_{\infty }\) error

(0.15,0.1)

8.5571e − 05

(0.075,0.025)

3.0810e − 06

(0.0375,0.0063)

2.4753e − 07

(0.0187,0.0016)

9.1614e − 09