option price sensitivities, another first look

For a given option,

– people use Black-Scholes to graph theoretical option price against __underlying_spot_price__. Then they get the gradient – delta
– people use Black-Scholes to graph spot option price against _time_ to expiration. Then they get the gradient – theta.- people use Black-Scholes to plot spot option price against implied _volatility_ for the period to expiry. Then they get the gradient – vega
– people don’t normally plot spot option prices against exercise price (K), although strike price is an important factor.

For short term liquid options, the effect of tweaking the interest rate (like 200bps to 201) is relatively minor. (That gradient is rho.) IR is built into a fwd price. Becomes important for longer-term options


Fill in your details below or click an icon to log in:

WordPress.com 徽标

您正在使用您的 WordPress.com 账号评论。 登出 /  更改 )

Google photo

您正在使用您的 Google 账号评论。 登出 /  更改 )

Twitter picture

您正在使用您的 Twitter 账号评论。 登出 /  更改 )

Facebook photo

您正在使用您的 Facebook 账号评论。 登出 /  更改 )

Connecting to %s