am_call_bin_contpay: Binomial option price with continuous payout from the...

Description Usage Arguments Details Value Author(s) References Examples

Description

Pricing of an American call option with continuous payout from the underlying asset using a binomial approximation

Usage

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am_call_bin_contpay(S, K, r, y, sigma, t, steps)

Arguments

S

spot price

K

exercise price

r

risk-free interest rate

y

continuous payout

sigma

volatility

t

time to maturity

steps

number of steps in binomial tree

Details

With this type of option, the underlying asset provides payouts at each period in time. The payoff structure simplifies the computation to a major extent and makes this a case similar to the one of pricing through Black-Scholes.

Value

call_price

Option price

Author(s)

Paolo Zagaglia, paolo.zagaglia@gmail.com

References

John Hull, "Options, Futures and other Derivative Securities", Prentice-Hall, second edition, 1993.

Examples

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rm(list=ls()) 

S<-100 
K<-100
r<-0.10 
y<-0.02
sigma<-0.25
t<-1
steps<-100

call_price_bin_contpay<-am_call_bin_contpay(S, K, r, y, sigma, t, steps)

Example output



AmericanCallOpt documentation built on May 2, 2019, 6:35 a.m.