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Theory and Modern Applications

Table 4 The price of a European call option ( \(\pmb{\theta=1/2}\) , \(\pmb{\alpha =1, 2/3, 1/2, 1/3}\) )

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

Time (T/month)

3

6

9

12

CPU time (s)

α = 1

44.9940

45.2318

45.4705

45.7114

0.33

α = 2/3

45.3411

46.0406

46.9641

49.0869

0.42

α = 1/2

45.2673

45.9415

47.0145

51.3765

0.40

α = 1/3

45.1913

45.8369

47.1096

55.8129

0.37