retrait de dampedcfcallCarrMadan qui était pas dans le bon paquet
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# Damped characteristic function of the call option log-price
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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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#' Damped characteristic function of the call option log-price
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#' @param u Transform variate
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#' @param char.fn Characteristic function of the 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 alpha Damping parameter
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#' @param ... Parameters of the characteristic function
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#' @param moneyness Boolean for moneyness of call option
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#' (TRUE if strike price is lower than stock price)
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#' @return Characteristic function value
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#'
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#' @author Francois Pelletier
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dampedcfcallCarrMadan <- function(u,char.fn,eval.time,expiry.time,rate,alpha,...,moneyness=TRUE)
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{
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if(moneyness)
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{
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exp(-rate*(expiry.time-eval.time))*
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char.fn(u-1i*(alpha+1),expiry.time-eval.time,...) /
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(alpha^2+alpha-u^2+1i*u*(2*alpha+1))
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}
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else
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{
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auxiliairyf <- function(u,char.fn,eval.time,expiry.time,rate,alpha,...)
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{
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exp(-rate*(expiry.time-eval.time))*
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(1/(1+1i*u)-exp(rate*(expiry.time-eval.time))/
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(1i*u)-char.fn(u-1i,expiry.time-eval.time,...)/(u^2-1i*u))
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}
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(auxiliairyf(u-1i*alpha,char.fn,eval.time,expiry.time,rate,alpha,...)-
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auxiliairyf(u+1i*alpha,char.fn,eval.time,expiry.time,rate,alpha,...))/2
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}
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}
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\name{dampedcfcallCarrMadan}
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\alias{dampedcfcallCarrMadan}
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\title{Damped characteristic function of the call option log-price}
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\usage{
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dampedcfcallCarrMadan(u, char.fn, eval.time, expiry.time, rate, alpha, ...,
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moneyness = TRUE)
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}
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\arguments{
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\item{u}{Transform variate}
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\item{char.fn}{Characteristic function of the 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{alpha}{Damping parameter}
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\item{...}{Parameters of the characteristic function}
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\item{moneyness}{Boolean for moneyness of call option
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(TRUE if strike price is lower than stock price)}
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}
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\value{
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Characteristic function value
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}
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\description{
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Damped characteristic function of the call option log-price
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}
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\author{
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Francois Pelletier
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}
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