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
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
|
\name{FloatingRateBond}
\alias{FloatingRateBond}
\alias{FloatingRateBond.default}
\title{Floating rate bond pricing}
\description{
The \code{FloatingRateBond} function evaluates a floating rate bond using discount curve.
More specificly, the calculation is done by DiscountingBondEngine from QuantLib.
The NPV, clean price, dirty price, accrued interest, yield and cash flows of the bond is returned.
For more detail, see the source codes in quantlib's test-suite. test-suite/bond.cpp
}
\usage{
\method{FloatingRateBond}{default}(bond, gearings, spreads,
caps, floors, index,
curve, dateparams )
}
\arguments{
\item{bond}{bond parameters, a named list whose elements are:
\tabular{ll}{
\code{issueDate} \tab a Date, the bond's issue date\cr
\code{maturityDate} \tab a Date, the bond's maturity date\cr
\code{faceAmount} \tab (Optional) a double, face amount of the bond.\cr
\code{} \tab Default value is 100. \cr
\code{redemption} \tab (Optional) a double, percentage of the initial \cr
\code{} \tab face amount that will be returned at maturity \cr
\code{} \tab date. Default value is 100.\cr
\code{effectiveDate} \tab (Optinal) a Date, the bond's effective date. Default value is issueDate\cr
}
}
\item{gearings}{(Optional) a numeric vector, bond's gearings. See quantlib's doc on
FloatingRateBond for more detail. Default value is an empty vector c(). }
\item{spreads}{(Optional) a numeric vector, bond's spreads. See quantlib's doc on FloatingRateBond for more detail.Default value is an empty vector c() }
\item{caps}{(Optional) a numeric vector, bond's caps. See quantlib's doc on
FloatingRateBond for more detail. Default value is an empty vector c() }
\item{floors}{(Optional) a numeric vector, bond's floors. See quantlib's doc on
FloatingRateBond for more detail. Default value is an empty vector c() }
\item{curve}{Can be one of the following:
\tabular{ll}{
\code{a DiscountCurve} \tab a object of DiscountCurve class \cr
\code{} \tab For more detail, see example or \cr
\code{} \tab the discountCurve function \cr
\code{A 2 items list} \tab specifies a flat curve in two \cr
\code{} \tab values "todayDate" and "rate" \cr
\code{A 3 items list} \tab specifies three values to construct a \cr
\code{} \tab DiscountCurve object, "params" , \cr
\code{} \tab "tsQuotes", "times". \cr
\code{} \tab For more detail, see example or \cr
\code{} \tab the discountCurve function \cr
}
}
\item{index}{a named list whose elements are parameters of an IborIndex term structure.
\tabular{ll}{
\code{type} \tab a string, currently support only "USDLibor" \cr
\code{length} \tab an integer, length of the index \cr
\code{inTermOf} \tab a string, period unit, currently support only 'Month' \cr
\code{term} \tab a DiscountCurve object, the term structure of the index\cr
}
}
\item{dateparams}{(Optional) a named list, QuantLib's date parameters of the bond.
\tabular{ll}{
\code{settlementDays} \tab (Optional) a double, settlement days. \cr
\code{} \tab Default value is 1.\cr
\code{calendar} \tab (Optional) a string, either 'us' or 'uk' \cr
\code{} \tab corresponding to US Goverment Bond \cr
\code{} \tab calendar and UK Exchange calendar.\cr
\code{} \tab Default value is 'us'.\cr
\code{dayCounter} \tab (Optional) a number or string, \cr
\code{} \tab day counter convention.\cr
\code{} \tab See \link{Enum}. Default value is 'Thirty360' \cr
\code{period} \tab (Optional) a number or string, \cr
\code{} \tab interest compounding interval. See \link{Enum}. \cr
\code{} \tab Default value is 'Semiannual'.\cr
\code{businessDayConvention} \tab (Optional) a number or string, \cr
\code{} \tab business day convention. \cr
\tab See \link{Enum}. Default value is 'Following'. \cr
\code{terminationDateConvention} \tab (Optional) a number or string, \cr
\code{} \tab termination day convention. \cr
\tab See \link{Enum}. Default value is 'Following'. \cr
\code{endOfMonth} \tab (Optional) a numeric with value 1 or 0. \cr
\code{} \tab End of Month rule. Default value is 0.\cr
\code{dateGeneration} \tab (Optional) a numeric, date generation method. \cr
\code{} \tab See \link{Enum}. Default value is 'Backward' \cr
}
See example below.
}
}
\value{
The \code{FloatingRateBond} function returns an object of class
\code{FloatingRateBond} (which inherits from class
\code{Bond}). It contains a list with the following
components:
\item{NPV}{net present value of the bond}
\item{cleanPrice}{clean price of the bond}
\item{dirtyPrice}{dirty price of the bond}
\item{accruedAmount}{accrued amount of the bond}
\item{yield}{yield of the bond}
\item{cashFlows}{cash flows of the bond}
}
\details{
A discount curve is built to calculate the bond value.
Please see any decent Finance textbook for background reading, and the
\code{QuantLib} documentation for details on the \code{QuantLib}
implementation.
}
\references{\url{https://www.quantlib.org/} for details on \code{QuantLib}.}
\author{Khanh Nguyen \email{knguyen@cs.umbno.edu} for the inplementation; Dirk Eddelbuettel \email{edd@debian.org} for the \R interface;
the QuantLib Group for \code{QuantLib}}
\note{The interface might change in future release as \code{QuantLib}
stabilises its own API.}
\examples{
bond <- list(faceAmount=100, issueDate=as.Date("2004-11-30"),
maturityDate=as.Date("2008-11-30"), redemption=100,
effectiveDate=as.Date("2004-11-30"))
dateparams <- list(settlementDays=1, calendar="UnitedStates/GovernmentBond",
dayCounter = 'ActualActual', period=2,
businessDayConvention = 1, terminationDateConvention=1,
dateGeneration=0, endOfMonth=0, fixingDays = 1)
gearings <- spreads <- caps <- floors <- vector()
params <- list(tradeDate=as.Date('2002-2-15'),
settleDate=as.Date('2002-2-19'),
dt=.25,
interpWhat="discount",
interpHow="loglinear")
setEvaluationDate(as.Date("2004-11-22"))
tsQuotes <- list(d1w =0.0382,
d1m =0.0372,
fut1=96.2875,
fut2=96.7875,
fut3=96.9875,
fut4=96.6875,
fut5=96.4875,
fut6=96.3875,
fut7=96.2875,
fut8=96.0875,
s3y =0.0398,
s5y =0.0443,
s10y =0.05165,
s15y =0.055175)
tsQuotes <- list("flat" = 0.02) ## While discount curve code is buggy
## when both discount and libor curves are flat.
discountCurve.flat <- DiscountCurve(params, list(flat=0.05))
termstructure <- DiscountCurve(params, list(flat=0.03))
iborIndex.params <- list(type="USDLibor", length=6,
inTermOf="Month", term=termstructure)
FloatingRateBond(bond, gearings, spreads, caps, floors,
iborIndex.params, discountCurve.flat, dateparams)
## discount curve is constructed from market quotes
## and a flat libor curve
discountCurve <- DiscountCurve(params, tsQuotes)
termstructure <- DiscountCurve(params, list(flat=0.03))
iborIndex.params <- list(type="USDLibor", length=6,
inTermOf="Month", term = termstructure)
FloatingRateBond(bond, gearings, spreads, caps, floors,
iborIndex.params, discountCurve, dateparams)
#example using default values
FloatingRateBond(bond=bond, index=iborIndex.params, curve=discountCurve)
}
\keyword{misc}
|
