if(.Platform$OS.type == "unix"){ root.dir <- "/home/share/CorpCDOs" }else{ root.dir <- "//WDSENTINEL/share/CorpCDOs" } source(file.path(root.dir, "code", "R", "cds_utils.R")) source(file.path(root.dir, "code", "R", "cds_functions_generic.R")) source(file.path(root.dir, "code", "R", "yieldcurve.R")) source(file.path(root.dir, "code", "R", "optimization.R")) source(file.path(root.dir, "code", "R", "calibration.R")) load.index("hy21", "index_definitions_bt.yml") library(lossdistrib) n.int <- 250 attach(GHquad(n.int)) Ngrid <- 201 alldates <- seq(as.Date("2014-01-01"), as.Date("2014-05-05"), by="1 day") rhomat <- c() deltasmat <- c() bus.dates <- as.Date(names(which(isBusinessDay(calendar="UnitedStates/GovernmentBond", alldates)))) for(i in seq_along(bus.dates)){ tradedate <- bus.dates[i] exportYC(tradedate) ## calibrate HY21 ## calibrate the single names curves set.singlenamesdata(hy21, tradedate) set.tranchedata(hy21, tradedate) ## calibrate the tranches using base correlation f <- function(rho, index, N, i){ temp <- with(index, BClossdistC(defaultprob, issuerweights, recov, rho, Z, w, N)) return(abs(tranche.pv(temp$L, temp$R, index$cs, 0, index$K[i+1]) + index$quotes[i])) } rhovec <- c() for(i in 1:(length(hy21$K)-1)){ q <- quotes[i-1] rho <- optimize(f, interval=c(0,1), index=hy21, N=Ngrid, i=i)$minimum rhovec <- c(rhovec, rho) } rhovec <- c(0, rhovec) ##compute deltas by blipping the curves ## portfolioplus <- tweakportfolio(hy21portfolio.tweaked, 1e-4) ## defaultprobplus <- 1 - SPmatrix(portfolioplus, length(cs$dates)) ## portfoliominus <- tweakportfolio(hy21portfolio.tweaked, -1e-4) ## defaultprobminus <- 1 - SPmatrix(portfoliominus, length(cs$dates)) ## test <- matrix(0, 6, 2) ## for(i in 2:7){ ## tempminus <- BClossdistC(defaultprobminus, issuerweights, recov, rhovec[i], Z, w, Ngrid) ## tempplus <- BClossdistC(defaultprobplus, issuerweights, recov, rhovec[i], Z, w, Ngrid) ## test[i-1,1] <- tranche.pv(tempminus$L, tempminus$R, cs, 0, Kmodified[i]) ## test[i-1,2] <- tranche.pv(tempplus$L, tempplus$R, cs, 0, Kmodified[i]) ## } ## dPVtranche <- diff(c(0, test[,1]))/dK - diff(c(0, test[,2]))/dK ## dPVindex <- indexpv(portfoliominus, hy21, tradedate=tradedate, clean=FALSE)$bp- ## indexpv(portfolioplus, hy21, tradedate=tradedate, clean=FALSE)$bp ## deltas <- dPVtranche/dPVindex ##use BCtranche.delta function deltas <- rep(0, length(hy21$K)-1) for(i in seq_along(hy21$K[-1])){ deltas[i] <- BCtranche.delta(hy21, hy21$K[i], hy21$K[i+1], rhovec[i], rhovec[i+1], Z, w, Ngrid, tradedate) } deltasmat <- rbind(deltasmat, deltas) rhomat <- rbind(rhomat, rhovec) }