BatesP1<-function(kv, thetav, sigmav, muj, sigmaj, lambda0, lambda1, p, kr, thetar, sigmar,kf, thetaf, sigmaf, var, r, rf, spot, strike, t){
int1=integrate(intBatesP1, lower=0, upper=Inf, kv, thetav, sigmav, muj, sigmaj, lambda0, lambda1, p, kr, thetar, sigmar,kf, thetaf, sigmaf, var, r, rf,spot, strike, t)
P=0.5*cf(1,kv, thetav, sigmav, muj, sigmaj, lambda0, lambda1, p, kr, thetar, sigmar,kf, thetaf, sigmaf, var, r, rf, t)-(1/pi)*int1$value
return(P)
}
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