Package 'fBonds'

Pricing and Evaluating Bonds

Description

The Rmetrics "fBonds" package is a collection of functions for pricing and evaluating bonds and to compute term structures.

Details

        Package:    \tab fBonds\cr
        Type:       \tab Package\cr
        Version:    \tab R 3.0.1\cr
        Date:       \tab 2014\cr
        License:    \tab GPL Version 2 or later\cr
        Copyright:  \tab (c) 1999-2014 Rmetrics Assiciation\cr
        URL:        \tab \url{https://www.rmetrics.org}
    

1 Introduction

This section provides functions to valuate Bonds and to calculate term structures.

2 Term Structure Calculation

This section provides two functions for term structure modelling based on the Nelson-Siegel, and on the Svennson approach.

    NelsonSiegel    models Nelson-Siegel Term Structure
    Svensson        models Nelson-Siegel-Svensson Term Structure
    

About Rmetrics

The fBonds Rmetrics package is written for educational support in teaching "Computational Finance and Financial Engineering" and licensed under the GPL.

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Term Structure Modelling

Description

A collection and description of functions for term structure modelling.

The functions are:

NelsonSiegel	Nelson-Siegel Term Structure,
Svensson	Nelson-Siegel-Svensson Term Structure.

Usage

NelsonSiegel(rate, maturity, doplot = TRUE)
Svensson(rate, maturity, doplot = TRUE)

Arguments

doplot	a logical. Should a plot be displayed?
maturity	a numeric vector of maturities on an annual scale.
rate	a numeric vector of forward rates.

Value

a list object with entries returned from the optimization function nlminb.

References

McCulloch J. H. (1990); US Term Structure Data: 1946-87, Handbook of Monetary Economics, Friedman B.M. and Hahn F.H. (eds.), Elsevier Science.

McCulloch J. H. and Kwon, H.C. (1993); US Term Structure Data: 1947-1991, Working Paper No. 93-6, Department of Economics, Ohio State University.

Zivot E., Wang J.; Modeling Financial Time Series with S-Plus.

Examples

Yield = c(
0.04984, 0.05283, 0.05549, 0.05777, 0.05961, 0.06102, 0.06216, 0.06314,
0.06403,
0.06488, 0.06568, 0.06644, 0.06717, 0.06786, 0.06852, 0.06913, 0.06969,
0.07020,
0.07134, 0.07205, 0.07339, 0.07500, 0.07710, 0.07860, 0.08011, 0.08114,
0.08194,
0.08274, 0.08355, 0.08434, 0.08512, 0.08588, 0.08662, 0.08731, 0.08794,
0.08851,
0.08900, 0.08939, 0.08967, 0.08980, 0.08976, 0.08954, 0.08910, 0.08843,
0.08748,
0.08626, 0.08474, 0.08291)

Maturity = c(
  0.083,  0.167,  0.250,  0.333,  0.417,  0.500,  0.583,  0.667,
0.750,  0.833,
  0.917,  1.000,  1.083,  1.167,  1.250,  1.333,  1.417,  1.500,
1.750,  2.000,
  2.500,  3.000,  4.000,  5.000,  6.000,  7.000,  8.000,  9.000, 10.000,
11.000,
 12.000, 13.000, 14.000, 15.000, 16.000, 17.000, 18.000, 19.000, 20.000,
21.000,
 22.000, 23.000, 24.000, 25.000, 26.000, 27.000, 28.000, 29.000)

NelsonSiegel(Yield, Maturity)

par(mfrow = c(2, 2))
Svensson(Yield, Maturity)

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