net.finmath.marketdata.model.bond.Bond Maven / Gradle / Ivy
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finmath lib is a Mathematical Finance Library in Java.
It provides algorithms and methodologies related to mathematical finance.
/*
* (c) Copyright finmath.net, Germany. Contact: [email protected].
*
* Created on 01.06.2018
*/
package net.finmath.marketdata.model.bond;
import java.time.LocalDate;
import net.finmath.marketdata.model.AnalyticModel;
import net.finmath.marketdata.model.curves.Curve;
import net.finmath.marketdata.model.curves.DiscountCurve;
import net.finmath.marketdata.model.curves.DiscountCurveInterpolation;
import net.finmath.marketdata.model.curves.ForwardCurve;
import net.finmath.marketdata.products.AbstractAnalyticProduct;
import net.finmath.marketdata.products.AnalyticProduct;
import net.finmath.optimizer.GoldenSectionSearch;
import net.finmath.time.FloatingpointDate;
import net.finmath.time.Period;
import net.finmath.time.Schedule;
import net.finmath.time.daycount.DayCountConvention;
/**
* Implements the valuation of a bond (zero-coupon, fixed coupon or floating coupon)
* with unit notional of 1 using curves:
*
* - a forward curve, if the bond has floating rate coupons
* - a discount curve as a base curve for discounting
* - a survival probability curve for additional credit risk related discount factor
* - a basis factor curve for additional bond related discount factor
*
*
* Support for day counting is provided via the class implementing
* Schedule.
*
* The effective bond curve is a combination of the discount curve (risk free curve), the basis factor curve
* (which could be considers as an additional industry specific factor) and the issuer specific
* survival probalbilty. The effective discount factor is the product of the three:
* discountFactor * survivalProbabilityFactor * basisFactorFactor
*
* You may set the arguments for the survival probability curve and the basis factor curve to null.
*
* @author Moritz Scherrmann
* @author Chrisitan Fries
* @version 1.1
*/
public class Bond extends AbstractAnalyticProduct implements AnalyticProduct {
private final Schedule schedule;
private final String discountCurveName;
private final String forwardCurveName; //Set null if fixed- or zero-coupon bond
private final String survivalProbabilityCurveName;
private final String basisFactorCurveName;
private final double fixedCoupon; //Set equal zero if floating rate note
private final double floatingSpread;
private final double recoveryRate;
/**
* Creates a bond.
*
* @param schedule ScheduleFromPeriods of the bond.
* @param discountCurveName Name of the discount curve.
* @param forwardCurveName Name of the forward curve, leave empty if this is a fix coupon bond or a zero-coupon bond.
* @param survivalProbabilityCurveName Name of the survival probability curve.
* @param basisFactorCurveName Name of the basis factor curve.
* @param fixedCoupon The fixed coupon of the bond expressed as absolute value.
* @param floatingSpread The floating spread of the bond expressed as absolute value.
* @param recoveryRate The recovery rate of the bond.
*/
public Bond(final Schedule schedule,
final String discountCurveName,
final String forwardCurveName,
final String survivalProbabilityCurveName,
final String basisFactorCurveName,
final double fixedCoupon,
final double floatingSpread,
final double recoveryRate) {
super();
this.schedule = schedule;
this.discountCurveName = discountCurveName;
this.forwardCurveName = forwardCurveName;
this.survivalProbabilityCurveName = survivalProbabilityCurveName;
this.basisFactorCurveName=basisFactorCurveName;
this.fixedCoupon=fixedCoupon;
this.floatingSpread=floatingSpread;
this.recoveryRate=recoveryRate;
}
/**
* Creates a fixed coupon bond with recovery rate.
*
* @param schedule ScheduleFromPeriods of the bond.
* @param discountCurveName Name of the discount curve.
* @param survivalProbabilityCurveName Name of the survival probability curve.
* @param basisFactorCurveName Name of the basis factor curve.
* @param fixedCoupon The fixed coupon of the bond expressed as absolute value.
* @param recoveryRate The recovery rate of the bond.
*/
public Bond(final Schedule schedule, final String discountCurveName, final String survivalProbabilityCurveName ,final String basisFactorCurveName, final double fixedCoupon, final double recoveryRate) {
this(schedule, discountCurveName, null,survivalProbabilityCurveName, basisFactorCurveName, fixedCoupon,0, recoveryRate);
}
/**
* Creates a fixed or floating bond without recovery rate.
*
* @param schedule ScheduleFromPeriods of the bond.
* @param discountCurveName Name of the discount curve.
* @param forwardCurveName Name of the forward curve, leave empty if this is a fix coupon bond or a zero-coupon bond.
* @param survivalProbabilityCurveName Name of the survival probability curve.
* @param basisFactorCurveName Name of the basis factor curve.
* @param fixedCoupon The fixed coupon of the bond expressed as absolute value.
* @param floatingSpread The floating spread of the bond expressed as absolute value.
*/
public Bond(final Schedule schedule, final String discountCurveName,final String forwardCurveName, final String survivalProbabilityCurveName ,final String basisFactorCurveName, final double fixedCoupon, final double floatingSpread) {
this(schedule, discountCurveName, forwardCurveName,survivalProbabilityCurveName, basisFactorCurveName, fixedCoupon,floatingSpread, 0);
}
/**
* Creates a fixed coupon bond without recovery rate.
*
* @param schedule ScheduleFromPeriods of the bond.
* @param discountCurveName Name of the discount curve.
* @param survivalProbabilityCurveName Name of the survival probability curve.
* @param basisFactorCurveName Name of the basis factor curve.
* @param fixedCoupon The fixed coupon of the bond expressed as absolute value.
*/
public Bond(final Schedule schedule, final String discountCurveName, final String survivalProbabilityCurveName ,final String basisFactorCurveName, final double fixedCoupon) {
this(schedule, discountCurveName, null,survivalProbabilityCurveName, basisFactorCurveName, fixedCoupon,0, 0);
}
/**
* Creates a fixed coupon bond using a single discount curve only.
*
* @param schedule ScheduleFromPeriods of the bond.
* @param discountCurveName Name of the discount curve.
* @param fixedCoupon The fixed coupon of the bond expressed as absolute value.
*/
public Bond(final Schedule schedule, final String discountCurveName, final double fixedCoupon) {
this(schedule, discountCurveName, null,null, null, fixedCoupon,0, 0);
}
@Override
public double getValue(final double evaluationTime, final AnalyticModel model) {
final boolean positiveRecoveryRate = recoveryRate>0;
if(model==null) {
throw new IllegalArgumentException("model==null");
}
final ForwardCurve forwardCurve = model.getForwardCurve(forwardCurveName);
if(forwardCurve == null && forwardCurveName != null && forwardCurveName.length() > 0) {
throw new IllegalArgumentException("No forward curve with name '" + forwardCurveName + "' was found in the model:\n" + model.toString());
}
final DiscountCurve discountCurve = model.getDiscountCurve(discountCurveName);
if(discountCurve == null) {
throw new IllegalArgumentException("No discount curve with name '" + discountCurveName + "' was found in the model:\n" + model.toString());
}
final Curve survivalProbabilityCurve = model.getCurve(survivalProbabilityCurveName);
final Curve basisFactorCurve = model.getCurve(basisFactorCurveName);
double value = 0.0;
for(int periodIndex=0; periodIndex evaluationTime ? discountCurve.getDiscountFactor(model, paymentDate) : 0.0;
final double survivalProbabilityFactor = survivalProbabilityCurve != null ? (paymentDate > evaluationTime ? survivalProbabilityCurve.getValue(model, paymentDate) : 0.0) : 1.0;
final double basisFactorFactor = basisFactorCurve != null ? (paymentDate > evaluationTime ? basisFactorCurve.getValue(model, paymentDate) : 0.0) : 1.0;
double couponPayment=fixedCoupon ;
if(forwardCurve != null ) {
couponPayment = floatingSpread+forwardCurve.getForward(model, schedule.getFixing(periodIndex));
}
value += couponPayment * periodLength * discountFactor * survivalProbabilityFactor * basisFactorFactor;
// Consider notional payments if required
if(positiveRecoveryRate) {
double previousPaymentDate = 0 ;
if(periodIndex>0) {
previousPaymentDate = schedule.getPayment(periodIndex-1);
}
final double previousSurvivalProbabilityFactor = previousPaymentDate > evaluationTime ? survivalProbabilityCurve.getValue(model, previousPaymentDate) : 1.0;
value += recoveryRate * discountFactor * (previousSurvivalProbabilityFactor- survivalProbabilityFactor) * basisFactorFactor;
}
}
final double paymentDate = schedule.getPayment(schedule.getNumberOfPeriods()-1);
final double discountFactor = paymentDate > evaluationTime ? discountCurve.getDiscountFactor(model, paymentDate) : 0.0;
final double survivalProbabilityFactor = survivalProbabilityCurve != null ? (paymentDate > evaluationTime ? survivalProbabilityCurve.getValue(model, paymentDate) : 0.0) : 1.0;
final double basisFactorFactor = basisFactorCurve != null ? (paymentDate > evaluationTime ? basisFactorCurve.getValue(model, paymentDate) : 0.0) : 1.0;
value += discountFactor * survivalProbabilityFactor * basisFactorFactor;
// @TODO The forward value should use division of all curves
return value / discountCurve.getDiscountFactor(model, evaluationTime);
}
/**
* Returns the coupon payment of the period with the given index. The analytic model is needed in case of floating bonds.
*
* @param periodIndex The index of the period of interest.
* @param model The model under which the product is valued.
* @return The value of the coupon payment in the given period.
*/
public double getCouponPayment(final int periodIndex, final AnalyticModel model) {
final ForwardCurve forwardCurve = model.getForwardCurve(forwardCurveName);
if(forwardCurve == null && forwardCurveName != null && forwardCurveName.length() > 0) {
throw new IllegalArgumentException("No forward curve with name '" + forwardCurveName + "' was found in the model:\n" + model.toString());
}
final double periodLength = schedule.getPeriodLength(periodIndex);
double couponPayment=fixedCoupon ;
if(forwardCurve != null ) {
couponPayment = floatingSpread+forwardCurve.getForward(model, schedule.getFixing(periodIndex));
}
return couponPayment*periodLength;
}
/**
* Returns the value of the sum of discounted cash flows of the bond where
* the discounting is done with the given reference curve and an additional spread.
* This method can be used for optimizer.
*
* @param evaluationTime The evaluation time as double. Cash flows prior and including this time are not considered.
* @param referenceCurve The reference curve used for discounting the coupon payments.
* @param spread The spread which should be added to the discount curve.
* @param model The model under which the product is valued.
* @return The value of the bond for the given curve and spread.
*/
public double getValueWithGivenSpreadOverCurve(final double evaluationTime,final Curve referenceCurve, final double spread, final AnalyticModel model) {
double value=0;
for(int periodIndex=0; periodIndexevaluationTime ? getCouponPayment(periodIndex,model)*Math.exp(-spread*paymentDate)*referenceCurve.getValue(paymentDate): 0.0;
}
final double paymentDate = schedule.getPayment(schedule.getNumberOfPeriods()-1);
return paymentDate>evaluationTime ? value+Math.exp(-spread*paymentDate)*referenceCurve.getValue(paymentDate):0.0;
}
/**
* Returns the value of the sum of discounted cash flows of the bond where
* the discounting is done with the given yield curve.
* This method can be used for optimizer.
*
* @param evaluationTime The evaluation time as double. Cash flows prior and including this time are not considered.
* @param rate The yield which is used for discounted the coupon payments.
* @param model The model under which the product is valued.
* @return The value of the bond for the given yield.
*/
public double getValueWithGivenYield(final double evaluationTime, final double rate, final AnalyticModel model) {
final DiscountCurve referenceCurve = DiscountCurveInterpolation.createDiscountCurveFromDiscountFactors("referenceCurve", new double[] {0.0, 1.0}, new double[] {1.0, 1.0});
return getValueWithGivenSpreadOverCurve(evaluationTime, referenceCurve, rate, model);
}
/**
* Returns the spread value such that the sum of cash flows of the bond discounted with a given reference curve
* with the additional spread coincides with a given price.
*
* @param bondPrice The target price as double.
* @param referenceCurve The reference curve used for discounting the coupon payments.
* @param model The model under which the product is valued.
* @return The optimal spread value.
*/
public double getSpread(final double bondPrice, final Curve referenceCurve, final AnalyticModel model) {
final GoldenSectionSearch search = new GoldenSectionSearch(-2.0, 2.0);
while(search.getAccuracy() > 1E-11 && !search.isDone()) {
final double x = search.getNextPoint();
final double fx=getValueWithGivenSpreadOverCurve(0.0,referenceCurve,x,model);
final double y = (bondPrice-fx)*(bondPrice-fx);
search.setValue(y);
}
return search.getBestPoint();
}
/**
* Returns the yield value such that the sum of cash flows of the bond discounted with the yield curve
* coincides with a given price.
*
* @param bondPrice The target price as double.
* @param model The model under which the product is valued.
* @return The optimal yield value.
*/
public double getYield(final double bondPrice, final AnalyticModel model) {
final GoldenSectionSearch search = new GoldenSectionSearch(-2.0, 2.0);
while(search.getAccuracy() > 1E-11 && !search.isDone()) {
final double x = search.getNextPoint();
final double fx=getValueWithGivenYield(0.0,x,model);
final double y = (bondPrice-fx)*(bondPrice-fx);
search.setValue(y);
}
return search.getBestPoint();
}
/**
* Returns the accrued interest of the bond for a given date.
*
* @param date The date of interest.
* @param model The model under which the product is valued.
* @return The accrued interest.
*/
public double getAccruedInterest(final LocalDate date, final AnalyticModel model) {
final int periodIndex=schedule.getPeriodIndex(date);
final Period period=schedule.getPeriod(periodIndex);
final DayCountConvention dcc= schedule.getDaycountconvention();
final double accruedInterest=getCouponPayment(periodIndex,model)*(dcc.getDaycountFraction(period.getPeriodStart(), date))/schedule.getPeriodLength(periodIndex);
return accruedInterest;
}
/**
* Returns the accrued interest of the bond for a given time.
*
* @param time The time of interest as double.
* @param model The model under which the product is valued.
* @return The accrued interest.
*/
public double getAccruedInterest(final double time, final AnalyticModel model) {
final LocalDate date= FloatingpointDate.getDateFromFloatingPointDate(schedule.getReferenceDate(), time);
return getAccruedInterest(date, model);
}
public Schedule getSchedule() {
return schedule;
}
public String getDiscountCurveName() {
return discountCurveName;
}
public String getForwardCurveName() {
return forwardCurveName;
}
public String getSurvivalProbabilityCurveName() {
return survivalProbabilityCurveName;
}
public String getBasisFactorCurveName() {
return basisFactorCurveName;
}
public double getFixedCoupon() {
return fixedCoupon;
}
public double getFloatingSpread() {
return floatingSpread;
}
public double getRecoveryRate() {
return recoveryRate;
}
@Override
public String toString() {
return "CouponBond [ScheduleFromPeriods=" + schedule
+ ", discountCurveName=" + discountCurveName
+ ", forwardtCurveName=" + forwardCurveName
+ ", survivalProbabilityCurveName=" + survivalProbabilityCurveName
+ ", basisFactorCurveName=" + basisFactorCurveName
+ ", fixedCoupon=" + fixedCoupon
+ ", floatingSpread=" + floatingSpread
+ ", recoveryRate=" + recoveryRate + "]";
}
}