| splines_estim {termstrc} | R Documentation |
Discount curve estimation with the cubic splines approach by McCulloch (1975).
splines_estim(group,
bonddata,
matrange = "all")
group |
vector defining the group of bonds used for the estimation, e.g. c("GERMANY","AUSTRIA"). |
bonddata |
a data set of bonds in list format. |
matrange |
use "all" for no restrictions, or restrict the
maturity range used for the estimation with c(lower,upper). |
groupgroup can be either a vector of bond groups or a scalar.bonddatastr() to explore the structure of the example data sets.
The function splines_estim returns an object of the class "cubicsplines". The object
contains the following items (mainly lists):
group |
group of bonds (e.g. countries) used for the estimation. |
matrange |
"none" or a vector with the maturity range. |
n_group |
length of object group, i.e. the number of countries. |
knotpoints |
selected knot points for the cubic splines estimation. |
spot |
zero-coupon yield curves as object of the class "spot_curves". |
spread |
spread curves as object of the class "s_curves". |
forward |
forward curves as object of the class "fwr_curves". |
discount |
discount curves as object of the class "df_curves". |
cf |
cashflow matrices. |
m |
maturity matrices. |
p |
dirty prices. |
phat |
estimated bond prices. |
perrors |
pricing errors and maturities as object of the class "error". |
y |
bond yields. |
yhat |
one list for each group with the theoretical bond yields calculated with the estimated bond prices phat. |
yerrors |
yield errors and maturities as object of the class "error". |
alpha |
OLS coefficients of cubic splines estimation. |
regout |
OLS estimation results as object of the class "lm". |
For objects of the class "spot_curves",
"s_curves", "df_curves", "fwr_curves", "error" appropriate plot methods are offered. For objects of the list item regout standard lm methods apply. For objects of the class "cubicsplines" print, summary and plot methods are available. Another term structure estimation method is provided by the function nelson_estim.
J.Huston McCulloch (1971): Measuring the Term Structure of Interest Rates. The Journal of Business, 44 19–31.
J. Huston McCulloch (1975): The Tax-Adjusted Yield Curve. The Journal of Finance, 30 811–830.
print.cubicsplines, summary.cubicsplines, plot.cubicsplines, nelson_estim, plot.spot_curves, plot.s_curves, plot.df_curves, plot.fwr_curves, plot.error, summary.lm, print.lm, plot.lm.
# load data set
data(eurobonds)
# define countries, for which the estimation
# of the zero-coupon yield curves will be carried out
group <- c("GERMANY", "AUSTRIA", "ITALY")
# define data set
bonddata <- eurobonds
# set maturtiy range
matrange <- c(0, 19)
# perform estimation
x <- splines_estim(group, bonddata, matrange)
# print the obtained parameters of the estimation
print(x)
# goodness of fit measures
summary(x)
# plot the zero-coupon yield curve for each country
plot(x,errors="none")
# plot all zero-coupon yield curves together
plot(x,multiple=TRUE,errors="none")
# spread curve splot
plot(x,ctype="spread",errors="none")
# price error plot for all countries
plot(x,ctype="none")