aboutsummaryrefslogtreecommitdiffstats
path: root/R/calibrate_tranches_BC.R
blob: 018460e758fa3ee72b2651edfbfcf402e23ee0bc (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
if(.Platform$OS.type == "unix"){
  root.dir <- "/home/share/CorpCDOs"
}else{
  root.dir <- "//WDSENTINEL/share/CorpCDOs"
}

options(stringsAsFactors = FALSE)

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"), chdir=TRUE)
source(file.path(root.dir, "code", "R", "mlpdb.R"))
library(lossdistrib)

n.int <- 250
list2env(GHquad(n.int), envir=parent.frame())
Ngrid <- 201

aux <- function(rho, index, K, quote, spread){
    temp <- BCtranche.legs(index, K, rho)
    return(abs(temp$pl+temp$cl*spread + quote))
}
args <- commandArgs(trailingOnly=TRUE)

index.name <- args[1]
if(length(args)>=2&&args[2]!="update"){
    tenor <- args[2]
}else{
    tenor <- "5yr"
}

updateflag <- args[length(args)]=="update"
if(updateflag){##ghetto way of getting the last row of the file
    runfile <- read.csv(file.path(root.dir,"Tranche_data","Runs", paste(index.name,tenor,"csv",sep=".")))
    begin.date <- as.Date(runfile[nrow(runfile),1])+1
}else{
    begin.date <- switch(index.name,
                         hy10=as.Date("2014-06-10"),
                         hy15=as.Date("2014-06-10"),
                         hy17=as.Date("2014-06-10"),
                         hy19=as.Date("2013-02-01"),
                         hy21=as.Date("2013-10-04"),
                         ig19=as.Date("2013-05-01"),
                         ig21=as.Date("2013-09-26"),
                         )
}

alldates <- seq(begin.date, Sys.Date()-1, by="1 day")
if(index.name=="ig19"){
    alldates <- alldates[alldates!=as.Date("2013-11-29")] ##people are lazy the day after Thanksgiving
}

bus.dates <- as.Date(names(which(isBusinessDay(calendar="UnitedStates/GovernmentBond", alldates))))

##check if we have all the quotes and save them
n.tranches <- 4
quotes <- matrix(0, length(bus.dates), 2+2*n.tranches)
for(j in seq_along(bus.dates)){
    tradedate <- bus.dates[j]
    index <- load.index(index.name, tradedate, tenor, Z, w, Ngrid)
    temp <- get.tranchequotes(index$name, index$tenor, tradedate)
    quotes[j, 1] <- temp$indexrefprice[1]
    quotes[j, 2] <- temp$indexrefspread[1]
    quotes[j, 2+1:n.tranches] <- temp$trancheupfront
    quotes[j, 2+n.tranches+1:n.tranches] <- temp$tranchedelta
}

tranche.names <- paste(temp$attach, temp$detach, sep="-")
colnames(quotes) <- c("indexprice", "indexref",paste(tranche.names, "Upfront"),
                      paste(tranche.names, "Dealer Delta"))
Attach <- temp$detach
#preallocate all the risk matrices
indexEL <- rep(0, length(bus.dates))
indexTheta <- rep(0, length(bus.dates))
deltas <- matrix(0, length(bus.dates), n.tranches)
gammas <- matrix(0, length(bus.dates), n.tranches)
thetas <- matrix(0, length(bus.dates), n.tranches)
rhos <- matrix(0, length(bus.dates), n.tranches)
corr01 <- matrix(0, length(bus.dates), n.tranches)
durations <- matrix(0, length(bus.dates), n.tranches)
EL <- matrix(0, length(bus.dates), n.tranches)

for(i in seq_along(bus.dates)){
    tradedate <- bus.dates[i]
    exportYC(tradedate)
    index <- load.index(index.name, tradedate, tenor, Z, w, Ngrid)
    ## calibrate the single names curves
    index <- set.singlenamesdata(index, tradedate)
    index <- set.tranchedata(index, tradedate)
    indexEL[i] <- EL(index)
    indexTheta[i] <- indextheta(index, tradedate)
    ## calibrate the tranches using base correlation
    rhovec <- c(0)
    for(j in 1:(length(index$K)-2)){
        ##use the current tranche coupon
        ## we compute the 0-index$K[j+1] equivalent quote using the coupon of the jth quote
        if(j==1){
            q <- index$tranche.quotes[j]*index$K[j+1]
        }else{
            temp <- BCtranche.legs(index, index$K[j], rhovec[j])
            q <- index$tranche.quotes[j] * (index$K[j+1]-index$K[j])-
                temp$pl - temp$cl*index$tranche.running[j]
        }
        rho <- optimize(aux, interval=c(0,1), index=index, K=index$K[j+1], quote=q,
                        spread=index$tranche.running[j])$minimum
        rhovec <- c(rhovec, rho)
    }
    index$rho <- c(rhovec, NA)
    temp <- BCtranche.delta(index, tradedate)
    deltas[i,] <- temp$deltas
    gammas[i,] <- temp$gammas
    thetas[i,] <- BCtranche.theta(index)$theta
    rhos[i,] <- index$rho[-1]
    corr01[i,] <- BCtranche.corr01(index)
    temp <- BCtranche.pv(index, protection=TRUE)
    durations[i,] <- (temp$cl-cdsAccrued(tradedate, index$tranche.running))/index$tranche.running
    EL[i,] <- -temp$pl*diff(index$K)
    print(tradedate)
}
risk.numbers <- data.frame(deltas, gammas, thetas, rhos, corr01, durations, EL)
colnames(risk.numbers) <- c(paste(tranche.names, "Model Delta"),
                            paste(tranche.names, "Gamma"),
                            paste(tranche.names, "Theta"),
                            paste(Attach, "Corr"),
                            paste(tranche.names, "Corr01"),
                            paste(tranche.names, "Dur"),
                            paste(tranche.names, "EL"))
data <- cbind(bus.dates, quotes, indexEL, indexTheta, risk.numbers)
colnames(data)[1] <- "date"

write.table(data, file=file.path(root.dir,"Tranche_data","Runs", paste(index.name,tenor,"csv",sep=".")),
            append=updateflag, col.names=!updateflag, qmethod="double", sep=",", row.names=FALSE)