Articles2/28/2007

Option Price vs. Volatility question

Naeron Joined 5; 5
I was drawing some graphs for the plain vanilla european options. Here is one of the graphs I got: EUROPEAN CALL K=$50, T = 1 year, r=5% OTM: S(0)=$40 ATM: S(0)=$50 ITM: S(0)=$60 The question is why ATM option has value when volatility sigma=0 ? I mean what is the financial interpretation of this fact? However, similar graph for the ATM European Put starts from 0. EUROPEAN PUT S(0)=$50, K=$50, T=1, r=5% EUROPEAN CALL K=$50, T = 1 year, r=5% OTM: S(0)=$40 ATM: S(0)=$50 ITM: S(0)=$60 The question.