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-rw-r--r--R/calibrate_tranches_MF.R51
-rw-r--r--R/calibration.R46
2 files changed, 50 insertions, 47 deletions
diff --git a/R/calibrate_tranches_MF.R b/R/calibrate_tranches_MF.R
index 95a9082e..32396a88 100644
--- a/R/calibrate_tranches_MF.R
+++ b/R/calibrate_tranches_MF.R
@@ -30,59 +30,16 @@ if(length(args) >= 1){
exportYC(tradedate)
## calibrate HY21
## calibrate the single names curves
-n.int <- 250
+n.int <- 100
list2env(GHquad(n.int), envir=parent.frame())
Ngrid <- 201
index <- load.index("hy21", date=tradedate, "5yr", Z, w, Ngrid)
index <- set.singlenamesdata(index, tradedate)
-index <- set.tranchedata(index, tradedate)
-
## load tranche data
-n.credit <- length(index$portfolio)
-index$cs$coupons <- index$cs$coupons*0.05
+index <- set.tranchedata(index, tradedate)
##calibrate by modifying the factor distribution
-bottomup <- 1:3
-topdown <- 2:4
-
-index$w.mod <- w
-p <- index$defaultprob
-rho <- rep(0.45, n.credit)
-result <- matrix(0, 4, n.int)
-err <- Inf
-errvec <- c()
-while(err >0.01){
- Rstoch <- MFrecovery(index, p)
- L <- array(0, dim=c(index$N, n.int, ncol(index$defaultprob)))
- R <- array(0, dim=c(index$N, n.int, ncol(index$defaultprob)))
- for(t in 1:ncol(index$defaultprob)){
- S <- 1 - Rstoch[,,t]
- L[,,t] <- lossdistCZ(p[,t], index$issuerweights, S, index$N, 0, rho, index$Z)
- R[,,t] <- lossdistCZ(p[,t], index$issuerweights, 1-S, index$N, 0, rho, index$Z)
- }
- for(i in 1:n.int){
- result[,i] <- tranche.pvvec(index$K, L[,i,], R[,i,], index$cs)
- }
- ## solve the optimization problem
- program <- KLfit(-result[bottomup,], w, index$tranche.quotes[bottomup])
-
- err <- 0
- for(i in 1:n.credit){
- for(j in 1:ncol(p)){
- err <- err + abs(crossprod(shockprob(p[i,j], rho[i], Z), program$weight) - index$defaultprob[i,j])
- }
- }
- errvec <- c(errvec, err)
-
- ## update the new probabilities
- p <- MFupdate.probC(Z, program$weight, rho, index$defaultprob)
-
- errvec <- c(errvec, err)
- index$w.mod <- program$weight
- cat(err,"\n")
-}
-
-dist <- MFdist(index)
-
+index$w.mod <- build.MFdist(index)
+dist <- MFlossdist(index)
write.table(data.frame(Z=Z, w=index$w.mod),
file=file.path(root.dir, "Scenarios", "Calibration",
paste0("calibration-", tradedate, ".csv")),
diff --git a/R/calibration.R b/R/calibration.R
index 1b802d99..b8dc9295 100644
--- a/R/calibration.R
+++ b/R/calibration.R
@@ -118,3 +118,49 @@ build.skew <- function(index, type="bottomup"){
}
return( rhovec )
}
+
+build.MFdist <- function(index, type="bottomup", tol=1e-2){
+ index$w.mod <- w
+ p <- index$defaultprob
+ n.credit <- length(index$issuerweights)
+ rho <- rep(0.45, n.credit)
+ result <- matrix(0, 4, n.int)
+ n.tranches <- length(index$K)-1
+ err <- Inf
+ if(type=="bottomup"){
+ select <- 1:(n.tranches-1)
+ }else if(type=="topdown"){
+ select <- 2:n.tranches
+ }
+ while(err > tol){
+ Rstoch <- MFrecovery(index, p)
+ L <- array(0, dim=c(index$N, n.int, ncol(index$defaultprob)))
+ R <- array(0, dim=c(index$N, n.int, ncol(index$defaultprob)))
+ for(t in 1:ncol(index$defaultprob)){
+ S <- 1 - Rstoch[,,t]
+ L[,,t] <- lossdistCZ(p[,t], index$issuerweights, S, index$N, 0, rho, index$Z)
+ R[,,t] <- lossdistCZ(p[,t], index$issuerweights, 1-S, index$N, 0, rho, index$Z)
+ }
+ for(i in 1:n.int){
+ dist <- list(L=L[,i,], R=R[,i,])
+ result[,i] <- MFtranche.pv(index, dist, protection=TRUE)$bp
+ }
+ ## solve the optimization problem
+ program <- KLfit(result[select,], w, index$tranche.quotes[select])
+
+ err <- 0
+ for(i in 1:n.credit){
+ for(j in 1:ncol(p)){
+ err <- err + abs(crossprod(shockprob(p[i,j], rho[i], Z), program$weight) - index$defaultprob[i,j])
+ }
+ }
+
+ ## update the new probabilities
+ p <- MFupdate.probC(index$Z, program$weight, rho, index$defaultprob)
+
+ index$w.mod <- program$weight
+ cat("=")
+ }
+ cat("\n")
+ return(index$w.mod)
+}