BSM(S=100, K=100, t=1, s=30%, r=0%, q=0%):
CALL=11.923538474048 PUT=11.923538474048
Impact of r and q in BSM (using 0%, 5%, -5% for r, q):
r q logical? Comments
0 0 CALL=11.923538474048 PUT=11.923538474048 y
5 0 CALL=14.231254785986 PUT=9.354197236057 y
-5 0 CALL=9.833797184067 PUT=14.960906821670 y
0 5 CALL=9.354197236057 PUT=14.231254785986 y like r = -5, q = 0
0 -5 CALL=14.960906821670 PUT=9.833797184067 y like r = 5, q = 0
5 5 CALL=11.342020640681 PUT=11.342020640681 y like r = 5 - 5 = 0, q = 0
5 -5 CALL=17.592110958058 PUT=7.587943770527 y like r = 5 + 5 = 10, q = 0
-5 5 CALL=7.587943770527 PUT=17.592110958058 y like r = -5 - 5 = -10, q = 0
-5 -5 CALL=12.534871364295 PUT=12.534871364295 (y) like r = -5 + 5 = 0, q = 0
Same with s=0.001% :
BSM(S=100, K=100, t=1, s=0.001%, r=0%, q=0%):
CALL=0.000398942280 PUT=0.000398942280
Impact of r and q in BSM (using 0%, 5%, -5% for r, q):
r q logical? Comments
0 0 CALL=0.000398942280 PUT=0.000398942280 y
5 0 CALL=4.877057549929 PUT=0.000000000000 y
-5 0 CALL=0.000000000000 PUT=5.127109637602 y
0 5 CALL=0.000000000000 PUT=4.877057549929 y like r = -5, q = 0
0 -5 CALL=5.127109637602 PUT=0.000000000000 y like r = 5, q = 0
5 5 CALL=0.000379485636 PUT=0.000379485636 y like r = 5 - 5 = 0, q = 0
5 -5 CALL=10.004167187531 PUT=0.000000000000 y like r = 5 + 5 = 10, q = 0
-5 5 CALL=0.000000000000 PUT=10.004167187531 y like r = -5 - 5 = -10, q = 0
-5 -5 CALL=0.000419396489 PUT=0.000419396489 y like r = -5 + 5 = 0, q = 0