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-rw-r--r--R/calibration.R46
1 files changed, 46 insertions, 0 deletions
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)
+}