Research Article

An Analysis of Asymptotic Properties and Error Control under the Exponential Jump-Diffusion Model for American Option Pricing

Table 3

MSFT put option traded on 19/03/2021 at a price of , expired on 18/03/2021 () (from https://fr.finance.yahoo.com/quote/MSFT?p=MSFT).

StrikeOption priceImplied volatilityB&SErrorJump-diffusionError

800.6325%00.630.03380.592
1001.112.5%01.10.15570.9443
1453.5812.5%03.581.28322.2968
1504.056.25%04.051.83542.2141
1605.46.25%05.43.02752.3725
1859.816.25%09.818.52831.2817
21017.81.56%017.821.79623.9962
21519.81.56%019.824.8535.053
22021.950.78%021.9521.55880.3912
22524.250.78%024.2525.50891.2589
23026.60.05%026.627.70621.1062
25541.480%23.680117.799942.51985.4856
27051.450%38.656112.793956.93565.4856
27555.20%43.648111.551957.9354.485
30580.530%73.60026.929871.32969.2004
355126.680%123.52023.1598121.67775.0023
Mean error11.7003Mean error2.8106