library(ggplot2) library(lubridate) library(doParallel) library(dplyr) library(tidyr) code.dir <- Sys.getenv("CODE_DIR") hostname <- system("hostname", intern=TRUE) registerDoParallel(if(hostname=="debian") 4 else 8) source(file.path(code.dir, "R", "serenitasdb.R")) source(file.path(code.dir, "R", "cds_functions_generic.R")) source(file.path(code.dir, "R", "yieldcurve.R")) get.indexquotes.table <- function(indextype, series, tenors=c("3yr", "5yr", "7yr"), onlymissing=TRUE){ stmt <- str_c("select date, tenor, closeprice from index_quotes ", "where index=$1 and series=$2", if(onlymissing) " and duration is Null" else NULL, " order by date") df <- dbGetQuery(serenitasdb, stmt, params = list(index, series)) return( df %>% filter(tenor %in% tenors) %>% mutate(tenor = factor(tenor, levels=tenors)) %>% spread(tenor, closeprice) ) } get.indexmaturity <- function(index, series){ sqlstr <- paste("select maturity, coupon/cast(10000 as float)as running, tenor", "from index_maturity where index=$1", "and series=$2 order by maturity") df <- dbGetQuery(serenitasdb, sqlstr, params=list(index, series)) df$maturity <- as.Date(df$maturity) return( df ) } fastduration <- function(sc, cs, tradedate, maturities){ r <- rep(NA, length(maturities)) if(is.null(sc)){ return( r ) } startdate <- tradedate+1 acc <- cdsAccrued(tradedate, 1) for(i in seq_along(maturities)){ if(startdate <= maturities[i]){ r[i] <- couponleg(cs[cs$unadj.dates<=maturities[i],], sc, startdate, accruedondefault=TRUE)-acc } } return( r ) } fasttheta <- function(sc, cs, recov, tradedate, maturities, quotes, fixedrate=0.05){ r <- rep(NA, length(maturities)) if(is.null(sc)){ return(r) } startdate <- tradedate+1 acc <- cdsAccrued(tradedate, 1) newmaturities <- maturities+years(-1) for(i in seq_along(newmaturities)){ ## never extrapolate, and do not attempt to compute theta if within 1 year if(startdate>newmaturities[i] || is.na(quotes[i])){ next }else{ newcs <- cs[cs$unadj.dates<=newmaturities[i],] upfront <- defaultleg(newcs, sc, recov, startdate) - (couponleg(newcs, sc, startdate, accruedondefault=TRUE)-acc)*fixedrate r[i] <- quotes[i]-upfront+fixedrate } } return( r ) } sqlstr.duration <- paste("UPDATE index_quotes set duration=$1 where date=$2 and index=$3", "and series=$4 and tenor=$5") sqlstr.theta <- paste("UPDATE index_quotes set theta=$1 where date=$2 and index=$3", "and series=$4 and tenor=$5") for(index in c('IG', 'HY')){ recov <- if(index=='IG') 0.4 else 0.3 coupon <- if(index=='IG') 0.01 else 0.05 tenors <- if(index=='IG') c("3yr", "5yr", "7yr", "10yr") else c("3yr", "5yr", "7yr") for(series in 18:27){ indexquotes <- get.indexquotes.table(index, series, tenors) if(nrow(indexquotes)==0){ next } maturities <- get.indexmaturity(index, series) maturities <- maturities[maturities$tenor %in% colnames(indexquotes)[-1],] durations <- matrix(0, nrow(indexquotes), nrow(maturities)) thetas <- matrix(0, nrow(indexquotes), nrow(maturities)) last_maturity <- maturities[nrow(maturities), "maturity"] durandthetas <- foreach(i = 1:nrow(indexquotes), .combine='rbind') %dopar% { tradedate <- indexquotes[i, "date"] exportYC(tradedate) cs <- couponSchedule(IMMDate(tradedate, noadj=TRUE), last_maturity,"Q", "FIXED", 1, 0, tradedate, IMMDate(tradedate, "prev")) quotes <- data.frame(upfront=(100-as.numeric(indexquotes[i,-1]))/100, maturities) sc <- cdshazardrate(quotes, recov, tradedate, cs) c(fastduration(sc, cs, tradedate, maturities$maturity), fasttheta(sc, cs, recov, tradedate, maturities$maturity, quotes$upfront, coupon)) } if(is.null(dim(durandthetas))){ dim(durandthetas) <- c(1, length(durandthetas)) } ## non parallel version for easier debugging ## durandthetas <- c() ## for(i in 1:nrow(indexquotes)){ ## tradedate <- indexquotes[i, "date"] ## exportYC(tradedate) ## cs <- couponSchedule(IMMDate(tradedate, noadj=TRUE), last_maturity,"Q", "FIXED", 1, ## 0, tradedate, IMMDate(tradedate, "prev")) ## quotes <- data.frame(upfront=(100-as.numeric(indexquotes[i,-1]))/100, maturities) ## sc <- cdshazardrate(quotes, recov, tradedate, cs) ## durandthetas <- rbind(durandthetas, c(fastduration(sc, cs, tradedate, maturities$maturity), ## fasttheta(sc, cs, recov, tradedate, maturities$maturity, quotes$upfront, coupon))) ## } n <- nrow(maturities) df.durations <- data.frame(date=indexquotes$date, durandthetas[,1:n, drop=F]) df.thetas <- data.frame(date=indexquotes$date, durandthetas[,(n+1):(2*n), drop=F]) colnames(df.durations) <- c("date", maturities$tenor) colnames(df.thetas) <- c("date", maturities$tenor) for(i in 1:nrow(df.durations)){ for(tenor in maturities$tenor){ if(!is.na(df.durations[i, tenor])){ r <- dbSendQuery(serenitasdb, sqlstr.duration, params = list(df.durations[i, tenor], df.durations[i,"date"], index, series, tenor)) if(dbHasCompleted(r)){ dbClearResult(r) } } if(!is.na(df.thetas[i,tenor])){ r <- dbSendQuery(serenitasdb, sqlstr.theta, params = list(df.thetas[i, tenor], df.thetas[i, "date"], index, series, tenor)) if(dbHasCompleted(r)){ dbClearResult(r) } } } } } } ## ## nice plot, now I'm just showing off ## ggplot(df.durations, aes(x=date))+geom_line(aes(y=`3yr`, colour="3yr"))+ ## geom_line(aes(y=`5yr`, colour="5yr"))+ ## geom_line(aes(y=`7yr`, colour="7yr"))+ylab("duration")+labs(colour="tenor") ## ggsave(filename=paste0("HY", series, " durations.png")) ## ## plot thetas ## ggplot(df.thetas, aes(x=date))+geom_line(aes(y=`3yr`, colour="3yr"))+ ## geom_line(aes(y=`5yr`, colour="5yr"))+ ## geom_line(aes(y=`7yr`, colour="7yr"))+ylab("theta")+labs(colour="tenor") ## ggsave(filename=paste0("HY", series, " thetas.png"))