https://github.com/cran/fOptions
Tip revision: 880bace785eda2a23173c060f1de08821872cc36 authored by Diethelm Wuertz on 08 August 1977, 00:00:00 UTC
version 191.10057
version 191.10057
Tip revision: 880bace
xmpAMERICANbsa.R
#
# Example:
# Price American Options Using the BS Approximation
#
# Description:
# The Bjerksund and Stensland approximation an be used to
# price American Options on stocks, futures and currencies.
# Consider a call option with nine months to expiry. The
# stock price is 42, the strike price is 40, the risk free
# rate is 4% p.a., the dividend yield is 8% p.a., the volatility
# is 35% p.a..
#
# Reference:
# Haug [1997], Chapter 1.4.3, page 26
#
# Author:
# (C) 2002, Diethelm Wuertz, GPL
#
# ------------------------------------------------------------------------------
# Price American Options using the BS Approximation:
BSAmericanApproxOption("c", S = 42, X = 40, Time = 0.75, r = 0.04,
b = 0.04-0.08, sigma = 0.35)
# Compare with a similar European Call:
GBSOption("c", S = 42, X = 40, Time = 0.75, r = 0.04,
b = 0.04-0.08, sigma = 0.35)