Ajout de la fonction putHeston et putEpps
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4 changed files with 69 additions and 6 deletions
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#' European put option pricing using characteristic function
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#'
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#' As seen in Epps (2009)
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#' @param char.fn Characteristic function of the price level at expiry time
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#' @param strikeprice Strike price, relative to a unit stock price
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#' @param char.fn Characteristic function of the price level at expiry time
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#' @param eval.time Evaluation time
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#' @param expiry.time Expiry time
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#' @param rate Continuously compounded interest rate (force of interest)
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#' @return European put option price
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#'
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#' @author Francois Pelletier
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putEpps <- function(char.fn,strikeprice,eval.time,expiry.time,rate,...,int.bounds=c(-Inf,Inf))
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putEpps <- function(strikeprice,char.fn,eval.time,expiry.time,rate,...,int.bounds=c(-Inf,Inf))
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{
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# function to integrate (zhi)
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zhi <- function(x,char.fn,strikeprice,eval.time,expiry.time,rate,...)
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26
R/putHeston.R
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26
R/putHeston.R
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# European put option pricing using Heston method
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#
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# Author: Francois Pelletier
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#
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# LGPL 3.0
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###############################################################################
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#' European put option pricing using Heston method
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#' @param strikeprice Strike price, relative to a unit stock price
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#' @param dist.fn Distribution function for the risk neutral log-price process
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#' @param ess.dist.fn Esscher transformed (with h=1) distribution function for the risk neutral log-price process
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#' @param eval.time Evaluation time
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#' @param expiry.time Expiry time
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#' @param rate Continuously compounded interest rate (force of interest)
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#' @param ... Parameters of the distribution function dist.fn
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#' @return European put option price
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#'
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#' @author Francois Pelletier
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putHeston <- function(strikeprice,dist.fn,ess.dist.fn,eval.time,expiry.time,rate,...)
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{
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exp(-rate*(expiry.time-eval.time)) * strikeprice*dist.fn(log(strikeprice),...) -
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ess.dist.fn(log(strikeprice),...)
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}
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\alias{putEpps}
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\title{European put option pricing using characteristic function}
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\usage{
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putEpps(char.fn, strikeprice, eval.time, expiry.time, rate, ...,
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putEpps(strikeprice, char.fn, eval.time, expiry.time, rate, ...,
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int.bounds = c(-Inf, Inf))
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}
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\arguments{
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\item{char.fn}{Characteristic function of the price level
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at expiry time}
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\item{strikeprice}{Strike price, relative to a unit stock
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price}
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\item{char.fn}{Characteristic function of the price level
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at expiry time}
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\item{eval.time}{Evaluation time}
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\item{expiry.time}{Expiry time}
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37
man/putHeston.Rd
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man/putHeston.Rd
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\name{putHeston}
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\alias{putHeston}
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\title{European put option pricing using Heston method}
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\usage{
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putHeston(strikeprice, dist.fn, ess.dist.fn, eval.time, expiry.time, rate, ...)
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}
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\arguments{
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\item{strikeprice}{Strike price, relative to a unit stock
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price}
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\item{dist.fn}{Distribution function for the risk neutral
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log-price process}
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\item{ess.dist.fn}{Esscher transformed (with h=1)
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distribution function for the risk neutral log-price
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process}
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\item{eval.time}{Evaluation time}
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\item{expiry.time}{Expiry time}
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\item{rate}{Continuously compounded interest rate (force
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of interest)}
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\item{...}{Parameters of the distribution function
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dist.fn}
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}
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\value{
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European put option price
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}
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\description{
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European put option pricing using Heston method
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}
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\author{
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Francois Pelletier
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}
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