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
178
179
|
\name{ZeroCouponBond}
\alias{ZeroCouponBond}
\alias{ZeroCouponBond.default}
\alias{ZeroPriceByYield}
\alias{ZeroPriceByYield.default}
\alias{ZeroYield}
\alias{ZeroYield.default}
\title{Zero-Coupon bond pricing}
\description{
The \code{ZeroCouponBond} function evaluates a zero-coupon plainly 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 code in the QuantLib file \code{test-suite/bond.cpp}.
The \code{ZeroPriceYield} function evaluates a zero-coupon clean price based on its yield.
The \code{ZeroYield} function evaluations a zero-coupon yield based.
See also http://www.mathworks.com/access/helpdesk/help/toolbox/finfixed/zeroyield.html
}
\usage{
\method{ZeroCouponBond}{default}(bond, discountCurve, dateparams)
\method{ZeroPriceByYield}{default}(yield, faceAmount,
issueDate, maturityDate,
dayCounter=2, frequency=2,
compound=0, businessDayConvention=4)
\method{ZeroYield}{default}(price, faceAmount,
issueDate, maturityDate,
dayCounter=2, frequency=2,
compound=0, businessDayConvention=4)
}
\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
}
}
\item{discountCurve}{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{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{businessDayConvention} \tab (Optional) a number or string, \cr
\code{} \tab business day convention. \cr
\tab See \link{Enum}. Default value is 'Following'. \cr
}
See example below.
}
\item{yield}{yield of the bond}
\item{price}{price of the bond}
\item{faceAmount}{face amount of the bond}
\item{issueDate}{date the bond is issued}
\item{maturityDate}{maturity date, an R's date type}
\item{dayCounter}{day count convention. 0 = Actual360(), 1 = Actual365Fixed(), 2 = ActualActual(), 3 = Business252(), 4 = OneDayCounter(), 5 = SimpleDayCounter(), all other = Thirty360(). For more information, see QuantLib's DayCounter class}
\item{frequency}{frequency of events,0=NoFrequency, 1=Once, 2=Annual, 3=Semiannual, 4=EveryFourthMonth, 5=Quarterly, 6=Bimonthly ,7=Monthly ,8=EveryFourthWeely,9=Biweekly, 10=Weekly, 11=Daily. For more information, see QuantLib's Frequency class }
\item{compound}{compounding type. 0=Simple, 1=Compounded, 2=Continuous, all other=SimpleThenCompounded. See QuantLib's Compound class}
\item{businessDayConvention}{convention used to adjust a date in case it is not a valid business day. See quantlib for more detail. 0 = Following, 1 = ModifiedFollowing, 2 = Preceding, 3 = ModifiedPreceding, other = Unadjusted}
}
\value{
The \code{ZeroCouponBond} function returns an object of class
\code{ZeroCouponBond} (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}
The \code{ZeroPriceByYield} function returns an object of class
\code{ZeroPriceByYield} (which inherits from class
\code{Bond}). It contains a list with the following
components:
\item{price}{price of the bond}
The \code{ZeroYield} function returns an object of class
\code{ZeroYield} (which inherits from class
\code{Bond}). It contains a list with the following
components:
\item{yield}{yield 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.umb.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{
# Simple call with all parameter and a flat curve
bond <- list(faceAmount=100,issueDate=as.Date("2004-11-30"),
maturityDate=as.Date("2008-11-30"), redemption=100 )
dateparams <-list(settlementDays=1, calendar="UnitedStates/GovernmentBond",
businessDayConvention='Unadjusted')
discountCurve.param <- list(tradeDate=as.Date('2002-2-15'),
settleDate=as.Date('2002-2-15'),
dt=0.25,
interpWhat='discount', interpHow='loglinear')
discountCurve.flat <- DiscountCurve(discountCurve.param, list(flat=0.05))
ZeroCouponBond(bond, discountCurve.flat, dateparams)
# The same bond with a discount curve constructed from market quotes
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
discountCurve <- DiscountCurve(discountCurve.param, tsQuotes)
ZeroCouponBond(bond, discountCurve, dateparams)
#examples with default arguments
ZeroCouponBond(bond, discountCurve)
bond <- list(issueDate=as.Date("2004-11-30"),
maturityDate=as.Date("2008-11-30"))
dateparams <-list(settlementDays=1)
ZeroCouponBond(bond, discountCurve, dateparams)
ZeroPriceByYield(0.1478, 100, as.Date("1993-6-24"), as.Date("1993-11-1"))
ZeroYield(90, 100, as.Date("1993-6-24"), as.Date("1993-11-1"))
}
\keyword{misc}
|
