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Theory and Modern Applications

Table 6 Order of convergence of the CCD method for American put options under the Merton model with \(\lambda =0.1\)

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

(M,N)

(32,10)

(64,80)

(128,640)

(256,5120)

\(E=L_{\infty }\)

4.0571e−02

1.8523e − 03

5.7864e − 05

1.1350e − 6

\(R=\frac{E(M, N)}{E(2M, 8N)}\)

21.9030

32.0113

50.9815

Order = log2R

4.4531

5.001

5.6719