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Theory and Modern Applications

Table 2 The price of a European call option ( \(\pmb{\alpha=5/7}\) , \(\pmb{M=200}\) , \(\pmb{N=120}\) )

From: A universal difference method for time-space fractional Black-Scholes equation

Time (T/month)

3

6

9

12

The stability

θ = 1

45.0578

45.3698

45.7219

46.2439

stable

θ = 2/3

45.2641

45.8436

46.5591

47.9096

stable

θ = 1/2

45.3675

46.0816

46.9812

48.7626

stable

θ = 1/3

45.4709

46.3204

47.4058

49.6250

stable