am_call_partials {AmericanCallOpt} | R Documentation |
Partials of an American call option using a binomial approximation
am_call_partials(S, K, r, sigma, t, steps)
S |
spot price |
K |
exercise price |
r |
risk-free interest rate |
sigma |
volatility |
t |
time to maturity |
steps |
number of steps in binomial tree |
The binomial method provides for techniques to approximate the partials of a derivative instrument. The computation of the partials for the binomial tree used in this package is discussed by Hull (2006).
hedge$delta |
partial with respect to S |
hedge$gamma |
second partial with respect to S |
hedge$theta |
partial with respect to time |
hedge$vega |
partial with respect to sigma |
hedge$rho |
partial with respect to r |
Paolo Zagaglia, paolo.zagaglia@gmail.com
John Hull, "Options, Futures and Other Derivatives", Prentice-Hall, Sixth Edition, 2006.
rm(list=ls())
S<-100
K<-100
r<-0.1
sigma<-0.25
t<-1.0
steps<-100
hedge<-am_call_partials(S, K, r, sigma, t, steps)