library(RQuantLib) library(statmod) library(data.table) options(datatable.nomatch=0) library(doParallel) hostname <- system("hostname", intern=TRUE) if(hostname=="debian"){ registerDoParallel(8) }else{ registerDoParallel(4) } if(.Platform$OS.type == "unix"){ root.dir <- "/home/share/CorpCDOs/" }else{ root.dir <- "//WDSENTINEL/share/CorpCDOs/" } source(file.path(root.dir, "code", "R", "yieldCurve.R")) source(file.path(root.dir, "code", "R", "cds_functions_generic.R")) source(file.path(root.dir, "code", "R", "etdb.R")) source(file.path(root.dir, "code", "R", "tranche_functions.R")) getdealdata <- function(dealnames, date){ if(missing(date)){ sqlstring <- sprintf("select * from latest_clo_universe where dealname in ('%s')", paste(dealnames, collapse="','")) }else{ sqlstring <- paste("SELECT b.* FROM (SELECT MAX(\"Latest Update\") AS latestdate,", "dealname FROM clo_universe WHERE \"Latest Update\"<='%s' AND dealname in ('%s')", "GROUP BY dealname) a JOIN clo_universe b ON a.dealname = b.dealname", "AND a.latestdate= b.\"Latest Update\" ORDER by dealname asc") sqlstring <- sprintf(sqlstring, date, paste(dealnames, collapse="','")) } data <- dbGetQuery(dbCon, sqlstring) data <- data[match(dealnames, data$dealname),] rownames(data) <- c() return( data ) } getcollateral <- function(dealname, date){ if(missing(date)){ sqlstring <- sprintf("select * from et_aggdealinfo('%s')", dealname) }else{ sqlstring <- sprintf("select * from et_aggdealinfo_historical('%s', '%s')", dealname, date) } collatdata <- dbGetQuery(dbCon, sqlstring) return(collatdata) } listdealnames <- function(){ sqlstring <- "select distinct dealname from clo_universe order by dealname" return( dbGetQuery(dbCon, sqlstring)) } cusip.data <- function(){ ## TODO: make it date dependent sqlstring <- "SELECT a.cusip, b.maturity, a.coupon AS grosscoupon, a.spread, CASE WHEN a.floater_index like 'LIBOR%' THEN 'FLOAT' ELSE 'FIXED' END AS fixedorfloat, a.orig_moody from latest_cusip_universe a LEFT JOIN latest_clo_universe b ON a.dealname = b.dealname" data <- dbGetQuery(dbCon, sqlstring) data <- data.table(data) setkey(data, "cusip") return( data ) } recovery <- function(collateral) { ## return assumed recovery based on assumptions from recovery.assumptions if(!is.na(collateral$secondlien) && collateral$secondlien){ collateral$assettype <- "SecondLien" } recovery <- with(global.params, as.numeric(recovery.assumptions[collateral$assettype])) if( !is.na(collateral$covlite) && collateral$covlite) { recovery <- recovery - global.params$recovery.assumptions$Adj_Covlite } if( !is.na(collateral$iscdo) && collateral$iscdo ){ recovery <- 0 } ## price is too low need to lower the assumed recovery if(!is.na(collateral$price) && recovery > collateral$price/100 - 0.1){ recovery <- max(collateral$price/100-0.2, 0) } return(recovery) } dealnamefromcusip <- function(cusips){ ## wrapper around the sql function sqlstr <- sprintf("select * from dealname_from_cusip('%s')", paste(cusips, collapse="','")) r <- dbGetQuery(dbCon, sqlstr) return( r$p_dealname ) } cusipsfromdealnames <- function(dealnames){ sqlstring <- sprintf("select unnest(\"Deal Cusip List\") from latest_clo_universe where dealname in ('%s')", paste(dealnames, collapse="','")) return( dbGetQuery(dbCon, sqlstring)$unnest ) } fithazardrate.fast <- function(collateral, eps=1e-6){ lambda <- 0.05 cs <- couponSchedule(collateral$nextpaydate, collateral$maturity, collateral$frequency, collateral$fixedorfloat, collateral$grosscoupon * 0.01, collateral$spread*0.01) R <- recovery(collateral) while(abs(bondprice(lambda, cs, R) * 100 - collateral$price) > eps){ lambda <- lambda - (bondprice(lambda, cs, R) - 0.01*collateral$price)/dbondprice(lambda, cs, R) } return( lambda ) } vanillabondprice <- function(h, collateral, prepay=TRUE) { R <- recovery(collateral) cs <- couponSchedule(collateral$nextpaydate, collateral$maturity, collateral$frequency, collateral$fixedorfloat, collateral$grosscoupon*0.01, collateral$spread*0.01) if(prepay){ dpc <- new("defaultprepaycurve", dates=cs$dates, hazardrates=rep(h,length(cs$dates)), prepayrates=rep(k(h), length(cs$dates))) }else{ dpc <- new("defaultprepaycurve", dates=cs$dates, hazardrates=rep(h,length(cs$dates)), prepayrates=numeric(0)) } return( bondprice(cs, dpc, R) ) } dvanillabondprice <- function(hazardrate, collateral) { R <- recovery(collateral) cs <- couponSchedule(collateral$nextpaydate, collateral$maturity, collateral$frequency, collateral$fixedorfloat, collateral$grosscoupon*0.01, collateral$spread*0.01) return( bondprice(hazardrate, cs, R) ) } fithazardrate <- function(collateral){ R <- recovery(collateral) cs <- couponSchedule(collateral$nextpaydate, collateral$maturity, collateral$frequency, collateral$fixedorfloat, collateral$grosscoupon*0.01, collateral$spread*0.01) f <- function(lambda){ u <- bondprice(lambda, cs, R ) return( (u * 100-collateral$price)^2 ) } return( optimize(f, c(0,1), tol=1e-6)$minimum ) } stackcurve <- function(SC, line.item, global.params, startdate){ if(line.item$nextpaydate> line.item$maturity){ SC@curve@hazardrates <- 0 SC@curve@prepayrates <- 0 SC@curve@dates <- line.item$maturity return( SC ) } newdates <- seq(line.item$nextpaydate, line.item$maturity, by="3 months") if(newdates[length(newdates)]startdate]) if(is.na(line.item$assettype) || line.item$assettype=="Loan"){ hvec <- global.params$shape(yearFrac(today(), newdates[-1])) * global.params$defaultloanhazardrate kvec <- global.params$alpha * exp(-global.params$beta * hvec) }else if(line.item$assettype=="Bond" || line.item$assettype=="Credit Default Swap" || (!is.na(line.item$iscdo) && line.item$iscdo)){ hvec <- global.params$shape(yearFrac(today(), newdates[-1])) * global.params$defaultbondhazardrate kvec <- rep(0, length(hvec)) } SC@curve@hazardrates <- c(SC@curve@hazardrates, hvec) SC@curve@prepayrates <- c(SC@curve@prepayrates, kvec) SC@curve@dates <- c(SC@curve@dates, newdates[-1]) return(SC) } buildSC.matured <- function(SC, line.item, reinvdate, dealmaturity, global.params, startdate){ if(!is.na(reinvdate) && startdate<=reinvdate){ #reinvest line.item$maturity <- min(dealmaturity, startdate + global.params$rollingmaturity) SC <- stackcurve(SC, line.item, global.params, startdate) }else{ #no reinvestment SC@curve@dates <- startdate SC@curve@hazardrates <- 0 SC@curve@prepayrates <- 0 } return( SC ) } buildSC <- function(line.item, reinvdate, dealmaturity, global.params, startdate){ if(!is.na(line.item$iscdo) && line.item$iscdo && is.na(line.item$price)){ ##we have prices for some cdos e.g. 210795PS3 if(is.na(line.item$orig) || line.item$orig_moody == "NA" || length(line.item$orig_moody)==0){ line.item$orig_moody <- "NR" } line.item$price <- as.numeric(global.params$cdoprices[gsub("\\d", "", line.item$orig_moody)]) } ##build survival curve SC <- new("creditcurve", recovery=recovery(line.item), startdate=startdate, issuer=line.item$issuername) SC@curve <- new("defaultprepaycurve", dates=as.Date(character(0))) ## defaulted asset if(!is.na(line.item$defaultedflag) && line.item$defaultedflag){ if(is.na(line.item$price)){ line.item$currentbalance <- line.item$currentbalance * recovery(line.item) }else{ line.item$currentbalance <- line.item$currentbalance * line.item$price/100 } line.item$price <- 100 SC@recovery <- 0.7 SC@startdate <- startdate + global.params$defaultedlag if(global.params$reinvflag){#we reinvest recovery assets line.item$maturity <- min(dealmaturity, SC@startdate + global.params$rollingmaturity) line.item$nextpaydate <- SC@startdate ## automatic reinvest SC<- stackcurve(SC, line.item, global.params, SC@startdate) } }else if(line.item$maturity <= startdate){#matured asset SC <- buildSC.matured(SC, line.item, reinvdate, dealmaturity, global.params, startdate) if(is.na(line.item$price))line.item$price <- 100 }else if(is.na(line.item$price)){ #missing price SC <- stackcurve(SC, line.item, global.params, SC@startdate) cs <- couponSchedule(line.item$nextpaydate, line.item$maturity, line.item$frequency, line.item$fixedorfloat, line.item$grosscoupon*0.01, line.item$spread*0.01) line.item$price <- bondpv(cs, SC@curve, recovery(line.item)) * 100 }else{ #normal case if(!is.na(line.item$assettype) && line.item$assettype=="Bond"){ #no prepay rate alpha <- 0 }else{ alpha <- global.params$alpha } try <- bondhazardrate.shaped(line.item, global.params$shape, recovery(line.item), alpha, global.params$beta) if(is.null(try)){ SC <- stackcurve(SC, line.item, global.params, SC@startdate) }else{ SC@curve <- try } } if(!is.na(reinvdate) && creditcurve.maturity(SC) <= reinvdate){ ## if reinvdate is missing, assume no reinvestment ## otherwise reinvest newstartdate <- line.item$maturity line.item$maturity <- min(dealmaturity, newstartdate + global.params$rollingmaturity) SC <- stackcurve(SC, line.item, global.params, newstartdate) } if(is.na(line.item$price)){ ## TODO } beta <- if(!is.na(line.item$iscdo) && line.item$iscdo) 1 else global.params$defaultcorr return( list(SC=SC, notional=line.item$currentbalance, price = line.item$price, beta = beta) ) } buildSC.portfolio <- function(dealname, dealdata, cusipdata, global.params, startdate = Sys.Date()) { collatdata <- data.table(getcollateral(dealname, startdate)) setkey(collatdata, "cusip") ## replace the cdo fields by bloomberg data collatdata[cusipdata[collatdata$cusip], `:=`(maturity=i.maturity, fixedorfloat=i.fixedorfloat, spread=i.spread, grosscoupon=i.grosscoupon, orig_moody=i.orig_moody, iscdo=TRUE)] portfolio <- foreach(line.item = iter(collatdata, by='row')) %:% { when( !is.na(line.item$maturity) && line.item$currentbalance > 1 && line.item$assettype!="Equity") } %dopar% { buildSC(line.item, dealdata$"Reinv End Date", dealdata$maturity, global.params, startdate) } missingpricenotional <- sum(collatdata[is.na(price) & maturity>startdate & (is.na(iscdo)|!iscdo), currentbalance]) cdonotional <- sum(collatdata[iscdo==TRUE,currentbalance]) collatbalance <- sum(collatdata[,currentbalance]) return( list(notional=vapply(portfolio, function(x)x$notional, numeric(1)), beta = vapply(portfolio, function(x)x$beta, numeric(1)), price = vapply(portfolio, function(x)x$price, numeric(1)), SC = lapply(portfolio, function(x)x$SC), stale = missingpricenotional/collatbalance, cdopercentage = cdonotional/collatbalance, collatbalance = collatbalance ) ) } cdrfromscenarios <- function(scenarios, dates){ ## compute the forward cdr rates to pass to intex ## so that we match the default curves in scenarios cdr <- matrix(0, nrow(scenarios), ncol(scenarios)) for(i in 1:nrow(scenarios)){ cdr[i,] <- 100*(1-exp(diff(c(0, log(1-scenarios[i,])))))/diff(c(0, yearFrac(today(), dates))) } return( cdr ) } recoveryfromscenarios <- function(scenariosd, scenariosr){ ## compute the forward recovery rate based on the term ## structure of recovery scenarios ## we run into trouble for very stressed scenarios ## this code should cap the scenarios at 0 if this happens intexrecov <- matrix(0, n.scenarios, ncol(scenariosr)) scenariosr <- scenariosr for(i in 1:n.scenarios){ current <- 1 intexrecov[i,1] <- scenariosr[i,1] for(t in 2:ncol(scenariosr)){ w <- scenariosd[i,current]/scenariosd[i,t] ## if(scenariosr[i,t]-w*scenariosr[i,current]>=0){ ## intexrecov[i,t] <- (scenariosr[i,t]-w*scenariosr[i,current])/(1-w) ## current <- current+1 ## }else{ ## intexrecov[i,t] <- 0 ## } intexrecov[i,t] <- (scenariosr[i,t]-w*scenariosr[i,current])/(1-w) current <- current + 1 } } return(intexrecov) } recoveryfromscenarios.fast <- function(scenariosr, scenariosd){ r <- rbind(scenariosr[,1]/scenariosd[,1], apply(scenariosr, 1, diff)/apply(scenariosd, 1, diff)) return( t(r) ) } severityfromscenarios <- function(scenariosd, scenariosr){ ## compute the forward recovery rate based on the term ## structure of recovery scenarios ## we run into trouble for very stressed scenarios ## this code should cap the scenarios at 0 if this happens intexseverity <- matrix(0, n.scenarios, ncol(scenariosr)) for(i in 1:n.scenarios){ current <- 1 intexseverity[i,1] <- 1-scenariosr[i,1] for(t in 2:ncol(scenariosr)){ w <- scenariosd[i,current]/scenariosd[i,t] intexseverity[i,t] <- 1 - (scenariosr[i,t]-w*scenariosr[i,current])/(1-w) current <- current+1 } } return(intexseverity) } load.portfolio <- function(dealname){ load(file.path(root.dir, "Scenarios", paste("Portfolios", calibration.date, sep="_"), paste0(dealname, ".RData")), .GlobalEnv) } dealupdatedates <- function(dealnames){ sqlstring <- sprintf("select dealname, \"Latest Update\" from latest_clo_universe where dealname in ('%s')", paste(dealnames, collapse="','")) data <- dbGetQuery(dbCon, sqlstring) data <- data[match(dealnames, data$dealname),] rownames(data) <- c() return ( data ) }