calibrate.at1p {CreditRisk}

AT1P model calibration to market CDS data

Description

Compares CDS rates quoted on the market with theoric CDS rates calculeted by the function cds and looks for the parameters to be used into at1p for returning the default intensities corresponding to real market CDS rates performing the minimization of the objective function.

Usage

calibrate.at1p(V0, cdsrate, r, t, ...)

Arguments

V0

firm value at time t = 0.

cdsrate

CDS rates from market.

r

a vector of risk-free rate.

t

a vector of debt maturity structure.

...

additional parameters used in cds function.

Details

Inside calibrate.at1p, the function objfn takes the input a vector of parameters and returns the mean error occurred estimating CDS rates with cds function. The inputs used in cds are the default intensities calculated by the at1p function with the calibrated parameters. In particular the error is calculated as:

\frac{1}{n}\sum_{i=1}^n (c^{ds}-c^{ds}_{mkt})^2.

This quantity is a function of the default intensities and it is the objective function to be minimized in order to take optimal solutions for intensities.

Value

calibrate.at1p returns an object of class data.frame with calculated parameters of the at1p model and the error occurred in the minimization procedure.

References

Damiano Brigo, Massimo Morini, Andrea Pallavicini (2013) Counterparty Credit Risk, Collateral and Funding. With Pricing Cases for All Asset Classes

Examples

calibrate.at1p(V0 = 1, cdsrate = cdsdata$Par.spread, r = cdsdata$ED.Zero.Curve,
t = cdsdata$Maturity)