Prices of American Put Options under Merton Model S_0 = 100.000000 USD and Time to maturity = 0.500000 years Simulations with 1001 space intervals and with 2000 time intervals r = 0.070000 q = 0.030000 sigma = 0.200000 Strike = 80.000000 -> Option Price 0.219118 Strike = 90.000000 -> Option Price 1.385609 Strike = 100.000000 -> Option Price 4.781458 Strike = 110.000000 -> Option Price 11.096807 Strike = 120.000000 -> Option Price 20.000055 r = 0.070000 q = 0.030000 sigma = 0.400000 Strike = 80.000000 -> Option Price 2.687204 Strike = 90.000000 -> Option Price 5.719892 Strike = 100.000000 -> Option Price 10.236187 Strike = 110.000000 -> Option Price 16.178747 Strike = 120.000000 -> Option Price 23.357644 r = 0.070000 q = 0.000000 sigma = 0.300000 Strike = 80.000000 -> Option Price 1.036463 Strike = 90.000000 -> Option Price 3.121896 Strike = 100.000000 -> Option Price 7.033799 Strike = 110.000000 -> Option Price 12.953482 Strike = 120.000000 -> Option Price 20.716209 r = 0.030000 q = 0.070000 sigma = 0.300000 Strike = 80.000000 -> Option Price 1.662517 Strike = 90.000000 -> Option Price 4.492124 Strike = 100.000000 -> Option Price 9.247755 Strike = 110.000000 -> Option Price 15.794780 Strike = 120.000000 -> Option Price 23.703937 Prices of American Call Options under CEV Model S_0 = 100.000000 USD and Time to maturity = 1.000000 years and Beta = 1.000000 Simulations with 1001 space intervals and with 2000 time intervals r = 0.070000 q = 0.030000 sigma = 0.300000 Strike = 80.000000 -> Option Price 23.367486 Strike = 90.000000 -> Option Price 15.732017 Strike = 100.000000 -> Option Price 9.631658 Strike = 110.000000 -> Option Price 5.312191 Strike = 120.000000 -> Option Price 2.627259 r = 0.070000 q = 0.030000 sigma = 0.300000 Strike = 80.000000 -> Option Price 23.367486 Strike = 90.000000 -> Option Price 15.732017 Strike = 100.000000 -> Option Price 9.631658 Strike = 110.000000 -> Option Price 5.312191 Strike = 120.000000 -> Option Price 2.627259 r = 0.070000 q = 0.000000 sigma = 0.300000 Strike = 80.000000 -> Option Price 26.090142 Strike = 90.000000 -> Option Price 18.127371 Strike = 100.000000 -> Option Price 11.539190 Strike = 110.000000 -> Option Price 6.661100 Strike = 120.000000 -> Option Price 3.466850 r = 0.030000 q = 0.070000 sigma = 0.300000 Strike = 80.000000 -> Option Price 20.037882 Strike = 90.000000 -> Option Price 11.863533 Strike = 100.000000 -> Option Price 6.318846 Strike = 110.000000 -> Option Price 2.999824 Strike = 120.000000 -> Option Price 1.265270