static void Main(string[] args) {
DateTime timer = DateTime.Now;
/*********************
*** MARKET DATA ***
*********************/
Calendar calendar = new TARGET();
Date settlementDate = new Date(18, Month.September, 2008);
// must be a business day
settlementDate = calendar.adjust(settlementDate);
int fixingDays = 3;
int settlementDays = 3;
Date todaysDate = calendar.advance(settlementDate, -fixingDays, TimeUnit.Days);
// nothing to do with Date::todaysDate
Settings.setEvaluationDate(todaysDate);
Console.WriteLine("Today: {0}, {1}", todaysDate.DayOfWeek, todaysDate);
Console.WriteLine("Settlement date: {0}, {1}", settlementDate.DayOfWeek, settlementDate);
// Building of the bonds discounting yield curve
/*********************
*** RATE HELPERS ***
*********************/
// RateHelpers are built from the above quotes together with
// other instrument dependant infos. Quotes are passed in
// relinkable handles which could be relinked to some other
// data source later.
// Common data
// ZC rates for the short end
double zc3mQuote=0.0096;
double zc6mQuote=0.0145;
double zc1yQuote=0.0194;
Quote zc3mRate = new SimpleQuote(zc3mQuote);
Quote zc6mRate = new SimpleQuote(zc6mQuote);
Quote zc1yRate = new SimpleQuote(zc1yQuote);
DayCounter zcBondsDayCounter = new Actual365Fixed();
RateHelper zc3m = new DepositRateHelper(new Handle<Quote>(zc3mRate),
new Period(3, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, zcBondsDayCounter);
RateHelper zc6m = new DepositRateHelper(new Handle<Quote>(zc6mRate),
new Period(6, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, zcBondsDayCounter);
RateHelper zc1y = new DepositRateHelper(new Handle<Quote>(zc1yRate),
new Period(1, TimeUnit.Years), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, zcBondsDayCounter);
// setup bonds
double redemption = 100.0;
const int numberOfBonds = 5;
Date[] issueDates = {
new Date (15, Month.March, 2005),
new Date (15, Month.June, 2005),
new Date (30, Month.June, 2006),
new Date (15, Month.November, 2002),
new Date (15, Month.May, 1987)
};
Date[] maturities = {
new Date (31, Month.August, 2010),
new Date (31, Month.August, 2011),
new Date (31, Month.August, 2013),
new Date (15, Month.August, 2018),
new Date (15, Month.May, 2038)
};
double[] couponRates = {
0.02375,
0.04625,
0.03125,
0.04000,
0.04500
};
double[] marketQuotes = {
100.390625,
106.21875,
100.59375,
101.6875,
102.140625
};
List<SimpleQuote> quote = new List<SimpleQuote>();
for (int i=0; i<numberOfBonds; i++) {
SimpleQuote cp = new SimpleQuote(marketQuotes[i]);
quote.Add(cp);
}
List<RelinkableHandle<Quote>> quoteHandle = new InitializedList<RelinkableHandle<Quote>>(numberOfBonds);
for (int i=0; i<numberOfBonds; i++) {
quoteHandle[i].linkTo(quote[i]);
}
// Definition of the rate helpers
List<FixedRateBondHelper> bondsHelpers = new List<FixedRateBondHelper>();
for (int i=0; i<numberOfBonds; i++) {
Schedule schedule = new Schedule(issueDates[i], maturities[i], new Period(Frequency.Semiannual),
new UnitedStates(UnitedStates.Market.GovernmentBond),
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
FixedRateBondHelper bondHelper = new FixedRateBondHelper(quoteHandle[i],
settlementDays,
100.0,
schedule,
new List<double>() { couponRates[i] },
new ActualActual(ActualActual.Convention.Bond),
BusinessDayConvention.Unadjusted,
redemption,
issueDates[i]);
bondsHelpers.Add(bondHelper);
}
/*********************
** CURVE BUILDING **
*********************/
// Any DayCounter would be fine.
// ActualActual::ISDA ensures that 30 years is 30.0
DayCounter termStructureDayCounter = new ActualActual(ActualActual.Convention.ISDA);
double tolerance = 1.0e-15;
// A depo-bond curve
List<RateHelper> bondInstruments = new List<RateHelper>();
// Adding the ZC bonds to the curve for the short end
bondInstruments.Add(zc3m);
bondInstruments.Add(zc6m);
bondInstruments.Add(zc1y);
// Adding the Fixed rate bonds to the curve for the long end
for (int i=0; i<numberOfBonds; i++) {
bondInstruments.Add(bondsHelpers[i]);
}
YieldTermStructure bondDiscountingTermStructure = new PiecewiseYieldCurve<Discount,LogLinear>(
settlementDate, bondInstruments,
termStructureDayCounter,
new List<Handle<Quote>>(),
new List<Date>(),
tolerance);
// Building of the Libor forecasting curve
// deposits
double d1wQuote=0.043375;
double d1mQuote=0.031875;
double d3mQuote=0.0320375;
double d6mQuote=0.03385;
double d9mQuote=0.0338125;
double d1yQuote=0.0335125;
// swaps
double s2yQuote=0.0295;
double s3yQuote=0.0323;
double s5yQuote=0.0359;
double s10yQuote=0.0412;
double s15yQuote=0.0433;
/********************
*** QUOTES ***
********************/
// SimpleQuote stores a value which can be manually changed;
// other Quote subclasses could read the value from a database
// or some kind of data feed.
// deposits
Quote d1wRate = new SimpleQuote(d1wQuote);
Quote d1mRate = new SimpleQuote(d1mQuote);
Quote d3mRate = new SimpleQuote(d3mQuote);
Quote d6mRate = new SimpleQuote(d6mQuote);
Quote d9mRate = new SimpleQuote(d9mQuote);
Quote d1yRate = new SimpleQuote(d1yQuote);
// swaps
Quote s2yRate = new SimpleQuote(s2yQuote);
Quote s3yRate = new SimpleQuote(s3yQuote);
Quote s5yRate = new SimpleQuote(s5yQuote);
Quote s10yRate = new SimpleQuote(s10yQuote);
Quote s15yRate = new SimpleQuote(s15yQuote);
/*********************
*** RATE HELPERS ***
*********************/
// RateHelpers are built from the above quotes together with
// other instrument dependant infos. Quotes are passed in
// relinkable handles which could be relinked to some other
// data source later.
// deposits
DayCounter depositDayCounter = new Actual360();
RateHelper d1w = new DepositRateHelper(
new Handle<Quote>(d1wRate),
new Period(1, TimeUnit.Weeks), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d1m = new DepositRateHelper(
new Handle<Quote>(d1mRate),
new Period(1, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d3m = new DepositRateHelper(
new Handle<Quote>(d3mRate),
new Period(3, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d6m = new DepositRateHelper(
new Handle<Quote>(d6mRate),
new Period(6, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d9m = new DepositRateHelper(
new Handle<Quote>(d9mRate),
new Period(9, TimeUnit.Months), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
RateHelper d1y = new DepositRateHelper(
new Handle<Quote>(d1yRate),
new Period(1, TimeUnit.Years), fixingDays,
calendar, BusinessDayConvention.ModifiedFollowing,
true, depositDayCounter);
// setup swaps
Frequency swFixedLegFrequency =Frequency.Annual;
BusinessDayConvention swFixedLegConvention = BusinessDayConvention.Unadjusted;
DayCounter swFixedLegDayCounter = new Thirty360(Thirty360.Thirty360Convention.European);
IborIndex swFloatingLegIndex = new Euribor6M();
Period forwardStart = new Period(1, TimeUnit.Days);
RateHelper s2y = new SwapRateHelper(
new Handle<Quote>(s2yRate), new Period(2, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s3y = new SwapRateHelper(
new Handle<Quote>(s3yRate), new Period(3, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s5y = new SwapRateHelper(
new Handle<Quote>(s5yRate), new Period(5, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s10y = new SwapRateHelper(
new Handle<Quote>(s10yRate), new Period(10, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
RateHelper s15y = new SwapRateHelper(
new Handle<Quote>(s15yRate), new Period(15, TimeUnit.Years),
calendar, swFixedLegFrequency,
swFixedLegConvention, swFixedLegDayCounter,
swFloatingLegIndex, new Handle<Quote>(),forwardStart);
/*********************
** CURVE BUILDING **
*********************/
// Any DayCounter would be fine.
// ActualActual::ISDA ensures that 30 years is 30.0
// A depo-swap curve
List<RateHelper> depoSwapInstruments = new List<RateHelper>();
depoSwapInstruments.Add(d1w);
depoSwapInstruments.Add(d1m);
depoSwapInstruments.Add(d3m);
depoSwapInstruments.Add(d6m);
depoSwapInstruments.Add(d9m);
depoSwapInstruments.Add(d1y);
depoSwapInstruments.Add(s2y);
depoSwapInstruments.Add(s3y);
depoSwapInstruments.Add(s5y);
depoSwapInstruments.Add(s10y);
depoSwapInstruments.Add(s15y);
YieldTermStructure depoSwapTermStructure = new PiecewiseYieldCurve<Discount,LogLinear>(
settlementDate, depoSwapInstruments,
termStructureDayCounter,
new List<Handle<Quote> >(),
new List<Date>(),
tolerance);
// Term structures that will be used for pricing:
// the one used for discounting cash flows
RelinkableHandle<YieldTermStructure> discountingTermStructure = new RelinkableHandle<YieldTermStructure>();
// the one used for forward rate forecasting
RelinkableHandle<YieldTermStructure> forecastingTermStructure = new RelinkableHandle<YieldTermStructure>();
/*********************
* BONDS TO BE PRICED *
**********************/
// Common data
double faceAmount = 100;
// Pricing engine
IPricingEngine bondEngine = new DiscountingBondEngine(discountingTermStructure);
// Zero coupon bond
ZeroCouponBond zeroCouponBond = new ZeroCouponBond(
settlementDays,
new UnitedStates(UnitedStates.Market.GovernmentBond),
faceAmount,
new Date(15, Month.August,2013),
BusinessDayConvention.Following,
116.92,
new Date(15, Month.August,2003));
zeroCouponBond.setPricingEngine(bondEngine);
// Fixed 4.5% US Treasury Note
Schedule fixedBondSchedule = new Schedule(new Date(15, Month.May, 2007),
new Date(15,Month.May,2017), new Period(Frequency.Semiannual),
new UnitedStates(UnitedStates.Market.GovernmentBond),
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted, DateGeneration.Rule.Backward, false);
FixedRateBond fixedRateBond = new FixedRateBond(
settlementDays,
faceAmount,
fixedBondSchedule,
new List<double>() { 0.045 },
new ActualActual(ActualActual.Convention.Bond),
BusinessDayConvention.ModifiedFollowing,
100.0, new Date(15, Month.May, 2007));
fixedRateBond.setPricingEngine(bondEngine);
// Floating rate bond (3M USD Libor + 0.1%)
// Should and will be priced on another curve later...
RelinkableHandle<YieldTermStructure> liborTermStructure = new RelinkableHandle<YieldTermStructure>();
IborIndex libor3m = new USDLibor(new Period(3, TimeUnit.Months), liborTermStructure);
libor3m.addFixing(new Date(17, Month.July, 2008),0.0278625);
Schedule floatingBondSchedule = new Schedule(new Date(21, Month.October, 2005),
new Date(21, Month.October, 2010), new Period(Frequency.Quarterly),
new UnitedStates(UnitedStates.Market.NYSE),
BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted, DateGeneration.Rule.Backward, true);
FloatingRateBond floatingRateBond = new FloatingRateBond(
settlementDays,
faceAmount,
floatingBondSchedule,
libor3m,
new Actual360(),
BusinessDayConvention.ModifiedFollowing,
2,
// Gearings
new List<double>() { 1.0 },
// Spreads
new List<double>() { 0.001 },
// Caps
new List<double>(),
// Floors
new List<double>(),
// Fixing in arrears
true,
100.0,
new Date(21, Month.October, 2005));
floatingRateBond.setPricingEngine(bondEngine);
// Coupon pricers
IborCouponPricer pricer = new BlackIborCouponPricer();
// optionLet volatilities
double volatility = 0.0;
Handle<OptionletVolatilityStructure> vol;
vol = new Handle<OptionletVolatilityStructure>(
new ConstantOptionletVolatility(
settlementDays,
calendar,
BusinessDayConvention.ModifiedFollowing,
volatility,
new Actual365Fixed()));
pricer.setCapletVolatility(vol);
Utils.setCouponPricer(floatingRateBond.cashflows(),pricer);
// Yield curve bootstrapping
forecastingTermStructure.linkTo(depoSwapTermStructure);
discountingTermStructure.linkTo(bondDiscountingTermStructure);
// We are using the depo & swap curve to estimate the future Libor rates
liborTermStructure.linkTo(depoSwapTermStructure);
/***************
* BOND PRICING *
****************/
// write column headings
int[] widths = { 18, 10, 10, 10 };
Console.WriteLine("{0,18}{1,10}{2,10}{3,10}", "", "ZC", "Fixed", "Floating");
string separator = " | ";
int width = widths[0]
+ widths[1]
+ widths[2]
+ widths[3];
string rule = "".PadLeft(width, '-'), dblrule = "".PadLeft(width, '=');
string tab = "".PadLeft(8, ' ');
Console.WriteLine(rule);
Console.WriteLine("Net present value".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.NPV(),
fixedRateBond.NPV(),
floatingRateBond.NPV());
Console.WriteLine("Clean price".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.cleanPrice(),
fixedRateBond.cleanPrice(),
floatingRateBond.cleanPrice());
Console.WriteLine("Dirty price".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.dirtyPrice(),
fixedRateBond.dirtyPrice(),
floatingRateBond.dirtyPrice());
Console.WriteLine("Accrued coupon".PadLeft(widths[0]) + "{0,10:n2}{1,10:n2}{2,10:n2}",
zeroCouponBond.accruedAmount(),
fixedRateBond.accruedAmount(),
floatingRateBond.accruedAmount());
Console.WriteLine("Previous coupon".PadLeft(widths[0]) + "{0,10:0.00%}{1,10:0.00%}{2,10:0.00%}",
"N/A",
fixedRateBond.previousCoupon(),
floatingRateBond.previousCoupon());
Console.WriteLine("Next coupon".PadLeft(widths[0]) + "{0,10:0.00%}{1,10:0.00%}{2,10:0.00%}",
"N/A",
fixedRateBond.nextCoupon(),
floatingRateBond.nextCoupon());
Console.WriteLine("Yield".PadLeft(widths[0]) + "{0,10:0.00%}{1,10:0.00%}{2,10:0.00%}",
zeroCouponBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual),
fixedRateBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual),
floatingRateBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual));
Console.WriteLine();
// Other computations
Console.WriteLine("Sample indirect computations (for the floating rate bond): ");
Console.WriteLine(rule);
Console.WriteLine("Yield to Clean Price: {0:n2}",
floatingRateBond.cleanPrice(floatingRateBond.yield(new Actual360(), Compounding.Compounded, Frequency.Annual),
new Actual360(), Compounding.Compounded, Frequency.Annual,
settlementDate));
Console.WriteLine("Clean Price to Yield: {0:0.00%}",
floatingRateBond.yield(floatingRateBond.cleanPrice(),new Actual360(), Compounding.Compounded, Frequency.Annual,
settlementDate));
/* "Yield to Price"
"Price to Yield" */
Console.WriteLine(" \nRun completed in {0}", DateTime.Now - timer);
Console.WriteLine();
Console.Write("Press any key to continue ...");
Console.ReadKey();
}
public void testCached()
{
// ("Testing bond price/yield calculation against cached values...");
CommonVars vars = new CommonVars();
// with implicit settlement calculation:
Date today = new Date(22, Month.November, 2004);
Settings.setEvaluationDate(today);
Calendar bondCalendar = new NullCalendar();
DayCounter bondDayCount = new ActualActual(ActualActual.Convention.ISMA);
int settlementDays = 1;
var discountCurve = new Handle<YieldTermStructure>(Utilities.flatRate(today, new SimpleQuote(0.03), new Actual360()));
// actual market values from the evaluation date
Frequency freq = Frequency.Semiannual;
Schedule sch1 = new Schedule(new Date(31, Month.October, 2004), new Date(31, Month.October, 2006), new Period(freq),
bondCalendar, BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
FixedRateBond bond1 = new FixedRateBond(settlementDays, vars.faceAmount, sch1, new List<double>() { 0.025 },
bondDayCount, BusinessDayConvention.ModifiedFollowing, 100.0, new Date(1, Month.November, 2004));
IPricingEngine bondEngine = new DiscountingBondEngine(discountCurve);
bond1.setPricingEngine(bondEngine);
double marketPrice1 = 99.203125;
double marketYield1 = 0.02925;
Schedule sch2 = new Schedule(new Date(15, Month.November, 2004), new Date(15, Month.November, 2009), new Period(freq),
bondCalendar, BusinessDayConvention.Unadjusted, BusinessDayConvention.Unadjusted,
DateGeneration.Rule.Backward, false);
FixedRateBond bond2 = new FixedRateBond(settlementDays, vars.faceAmount, sch2, new List<double>() { 0.035 },
bondDayCount, BusinessDayConvention.ModifiedFollowing,
100.0, new Date(15, Month.November, 2004));
bond2.setPricingEngine(bondEngine);
double marketPrice2 = 99.6875;
double marketYield2 = 0.03569;
// calculated values
double cachedPrice1a = 99.204505, cachedPrice2a = 99.687192;
double cachedPrice1b = 98.943393, cachedPrice2b = 101.986794;
double cachedYield1a = 0.029257, cachedYield2a = 0.035689;
double cachedYield1b = 0.029045, cachedYield2b = 0.035375;
double cachedYield1c = 0.030423, cachedYield2c = 0.030432;
// check
double tolerance = 1.0e-6;
double price, yield;
price = bond1.cleanPrice(marketYield1, bondDayCount, Compounding.Compounded, freq);
if (Math.Abs(price - cachedPrice1a) > tolerance)
{
Assert.Fail("failed to reproduce cached price:"
+ "\n calculated: " + price
+ "\n expected: " + cachedPrice1a
+ "\n tolerance: " + tolerance
+ "\n error: " + (price - cachedPrice1a));
}
price = bond1.cleanPrice();
if (Math.Abs(price - cachedPrice1b) > tolerance)
{
Assert.Fail("failed to reproduce cached price:"
+ "\n calculated: " + price
+ "\n expected: " + cachedPrice1b
+ "\n tolerance: " + tolerance
+ "\n error: " + (price - cachedPrice1b));
}
yield = bond1.yield(marketPrice1, bondDayCount, Compounding.Compounded, freq);
if (Math.Abs(yield - cachedYield1a) > tolerance)
{
Assert.Fail("failed to reproduce cached compounded yield:"
+ "\n calculated: " + yield
+ "\n expected: " + cachedYield1a
+ "\n tolerance: " + tolerance
+ "\n error: " + (yield - cachedYield1a));
}
yield = bond1.yield(marketPrice1, bondDayCount, Compounding.Continuous, freq);
if (Math.Abs(yield - cachedYield1b) > tolerance)
{
Assert.Fail("failed to reproduce cached continuous yield:"
+ "\n calculated: " + yield
+ "\n expected: " + cachedYield1b
+ "\n tolerance: " + tolerance
+ "\n error: " + (yield - cachedYield1b));
}
yield = bond1.yield(bondDayCount, Compounding.Continuous, freq);
if (Math.Abs(yield - cachedYield1c) > tolerance)
{
Assert.Fail("failed to reproduce cached continuous yield:"
+ "\n calculated: " + yield
+ "\n expected: " + cachedYield1c
+ "\n tolerance: " + tolerance
+ "\n error: " + (yield - cachedYield1c));
}
price = bond2.cleanPrice(marketYield2, bondDayCount, Compounding.Compounded, freq);
if (Math.Abs(price - cachedPrice2a) > tolerance)
{
Assert.Fail("failed to reproduce cached price:"
+ "\n calculated: " + price
+ "\n expected: " + cachedPrice2a
+ "\n tolerance: " + tolerance
+ "\n error: " + (price - cachedPrice2a));
}
price = bond2.cleanPrice();
if (Math.Abs(price - cachedPrice2b) > tolerance)
{
Assert.Fail("failed to reproduce cached price:"
+ "\n calculated: " + price
+ "\n expected: " + cachedPrice2b
+ "\n tolerance: " + tolerance
+ "\n error: " + (price - cachedPrice2b));
}
yield = bond2.yield(marketPrice2, bondDayCount, Compounding.Compounded, freq);
if (Math.Abs(yield - cachedYield2a) > tolerance)
{
Assert.Fail("failed to reproduce cached compounded yield:"
+ "\n calculated: " + yield
+ "\n expected: " + cachedYield2a
+ "\n tolerance: " + tolerance
+ "\n error: " + (yield - cachedYield2a));
}
yield = bond2.yield(marketPrice2, bondDayCount, Compounding.Continuous, freq);
if (Math.Abs(yield - cachedYield2b) > tolerance)
{
Assert.Fail("failed to reproduce cached continuous yield:"
+ "\n calculated: " + yield
+ "\n expected: " + cachedYield2b
+ "\n tolerance: " + tolerance
+ "\n error: " + (yield - cachedYield2b));
}
yield = bond2.yield(bondDayCount, Compounding.Continuous, freq);
if (Math.Abs(yield - cachedYield2c) > tolerance)
{
Assert.Fail("failed to reproduce cached continuous yield:"
+ "\n calculated: " + yield
+ "\n expected: " + cachedYield2c
+ "\n tolerance: " + tolerance
+ "\n error: " + (yield - cachedYield2c));
}
// with explicit settlement date:
Schedule sch3 = new Schedule(new Date(30, Month.November, 2004), new Date(30, Month.November, 2006), new Period(freq),
new UnitedStates(UnitedStates.Market.GovernmentBond), BusinessDayConvention.Unadjusted,
BusinessDayConvention.Unadjusted, DateGeneration.Rule.Backward, false);
FixedRateBond bond3 = new FixedRateBond(settlementDays, vars.faceAmount, sch3, new List<double>() { 0.02875 },
new ActualActual(ActualActual.Convention.ISMA),
BusinessDayConvention.ModifiedFollowing, 100.0, new Date(30, Month.November, 2004));
bond3.setPricingEngine(bondEngine);
double marketYield3 = 0.02997;
Date settlementDate = new Date(30, Month.November, 2004);
double cachedPrice3 = 99.764759;
price = bond3.cleanPrice(marketYield3, bondDayCount, Compounding.Compounded, freq, settlementDate);
if (Math.Abs(price - cachedPrice3) > tolerance)
{
Assert.Fail("failed to reproduce cached price:"
+ "\n calculated: " + price + ""
+ "\n expected: " + cachedPrice3 + ""
+ "\n error: " + (price - cachedPrice3));
}
// this should give the same result since the issue date is the
// earliest possible settlement date
Settings.setEvaluationDate(new Date(22, Month.November, 2004));
price = bond3.cleanPrice(marketYield3, bondDayCount, Compounding.Compounded, freq);
if (Math.Abs(price - cachedPrice3) > tolerance)
{
Assert.Fail("failed to reproduce cached price:"
+ "\n calculated: " + price + ""
+ "\n expected: " + cachedPrice3 + ""
+ "\n error: " + (price - cachedPrice3));
}
}
public void testTheoretical()
{
// "Testing theoretical bond price/yield calculation...");
CommonVars vars = new CommonVars();
double tolerance = 1.0e-7;
int maxEvaluations = 100;
int[] lengths = new int[] { 3, 5, 10, 15, 20 };
int settlementDays = 3;
double[] coupons = new double[] { 0.02, 0.05, 0.08 };
Frequency[] frequencies = new Frequency[] { Frequency.Semiannual, Frequency.Annual };
DayCounter bondDayCount = new Actual360();
BusinessDayConvention accrualConvention = BusinessDayConvention.Unadjusted;
BusinessDayConvention paymentConvention = BusinessDayConvention.ModifiedFollowing;
double redemption = 100.0;
double[] yields = new double[] { 0.03, 0.04, 0.05, 0.06, 0.07 };
for (int j = 0; j < lengths.Length; j++)
{
for (int k = 0; k < coupons.Length; k++)
{
for (int l = 0; l < frequencies.Length; l++)
{
Date dated = vars.today;
Date issue = dated;
Date maturity = vars.calendar.advance(issue, lengths[j], TimeUnit.Years);
SimpleQuote rate = new SimpleQuote(0.0);
var discountCurve = new Handle<YieldTermStructure>(Utilities.flatRate(vars.today, rate, bondDayCount));
Schedule sch = new Schedule(dated, maturity, new Period(frequencies[l]), vars.calendar,
accrualConvention, accrualConvention, DateGeneration.Rule.Backward, false);
FixedRateBond bond = new FixedRateBond(settlementDays, vars.faceAmount, sch, new List<double>() { coupons[k] },
bondDayCount, paymentConvention, redemption, issue);
IPricingEngine bondEngine = new DiscountingBondEngine(discountCurve);
bond.setPricingEngine(bondEngine);
for (int m = 0; m < yields.Length; m++)
{
rate.setValue(yields[m]);
double price = bond.cleanPrice(yields[m], bondDayCount, Compounding.Continuous, frequencies[l]);
double calculatedPrice = bond.cleanPrice();
if (Math.Abs(price - calculatedPrice) > tolerance)
{
Assert.Fail("price calculation failed:"
+ "\n issue: " + issue
+ "\n maturity: " + maturity
+ "\n coupon: " + coupons[k]
+ "\n frequency: " + frequencies[l] + "\n"
+ "\n yield: " + yields[m]
+ "\n expected: " + price
+ "\n calculated': " + calculatedPrice
+ "\n error': " + (price - calculatedPrice));
}
double calculatedYield = bond.yield(bondDayCount, Compounding.Continuous, frequencies[l],
tolerance, maxEvaluations);
if (Math.Abs(yields[m] - calculatedYield) > tolerance)
{
Assert.Fail("yield calculation failed:"
+ "\n issue: " + issue
+ "\n maturity: " + maturity
+ "\n coupon: " + coupons[k]
+ "\n frequency: " + frequencies[l] + "\n"
+ "\n yield: " + yields[m]
+ "\n price: " + price
+ "\n yield': " + calculatedYield);
}
}
}
}
}
}
public void testYield()
{
//"Testing consistency of bond price/yield calculation...");
CommonVars vars = new CommonVars();
double tolerance = 1.0e-7;
int maxEvaluations = 100;
int[] issueMonths = new int[] { -24, -18, -12, -6, 0, 6, 12, 18, 24 };
int[] lengths = new int[] { 3, 5, 10, 15, 20 };
int settlementDays = 3;
double[] coupons = new double[] { 0.02, 0.05, 0.08 };
Frequency[] frequencies = new Frequency[] { Frequency.Semiannual, Frequency.Annual };
DayCounter bondDayCount = new Thirty360();
BusinessDayConvention accrualConvention = BusinessDayConvention.Unadjusted;
BusinessDayConvention paymentConvention = BusinessDayConvention.ModifiedFollowing;
double redemption = 100.0;
double[] yields = new double[] { 0.03, 0.04, 0.05, 0.06, 0.07 };
Compounding[] compounding = new Compounding[] { Compounding.Compounded, Compounding.Continuous };
for (int i = 0; i < issueMonths.Length; i++)
{
for (int j = 0; j < lengths.Length; j++)
{
for (int k = 0; k < coupons.Length; k++)
{
for (int l = 0; l < frequencies.Length; l++)
{
for (int n = 0; n < compounding.Length; n++)
{
Date dated = vars.calendar.advance(vars.today, issueMonths[i], TimeUnit.Months);
Date issue = dated;
Date maturity = vars.calendar.advance(issue, lengths[j], TimeUnit.Years);
Schedule sch = new Schedule(dated, maturity, new Period(frequencies[l]), vars.calendar,
accrualConvention, accrualConvention, DateGeneration.Rule.Backward, false);
FixedRateBond bond = new FixedRateBond(settlementDays, vars.faceAmount, sch,
new List<double>() { coupons[k] },
bondDayCount, paymentConvention,
redemption, issue);
for (int m = 0; m < yields.Length; m++)
{
double price = bond.cleanPrice(yields[m], bondDayCount, compounding[n], frequencies[l]);
double calculated = bond.yield(price, bondDayCount, compounding[n], frequencies[l], null,
tolerance, maxEvaluations);
if (Math.Abs(yields[m] - calculated) > tolerance)
{
// the difference might not matter
double price2 = bond.cleanPrice(calculated, bondDayCount, compounding[n], frequencies[l]);
if (Math.Abs(price - price2) / price > tolerance)
{
Assert.Fail("yield recalculation failed:\n"
+ " issue: " + issue + "\n"
+ " maturity: " + maturity + "\n"
+ " coupon: " + coupons[k] + "\n"
+ " frequency: " + frequencies[l] + "\n\n"
+ " yield: " + yields[m] + " "
+ (compounding[n] == Compounding.Compounded ? "compounded" : "continuous") + "\n"
+ " price: " + price + "\n"
+ " yield': " + calculated + "\n"
+ " price': " + price2);
}
}
}
}
}
}
}
}
}
static void Main(string[] args)
{
DateTime timer = DateTime.Now;
Date repoSettlementDate = new Date(14,Month.February,2000);;
Date repoDeliveryDate = new Date(15,Month.August,2000);
double repoRate = 0.05;
DayCounter repoDayCountConvention = new Actual360();
int repoSettlementDays = 0;
Compounding repoCompounding = Compounding.Simple;
Frequency repoCompoundFreq = Frequency.Annual;
// assume a ten year bond- this is irrelevant
Date bondIssueDate = new Date(15,Month.September,1995);
Date bondDatedDate = new Date(15,Month.September,1995);
Date bondMaturityDate = new Date(15,Month.September,2005);
double bondCoupon = 0.08;
Frequency bondCouponFrequency = Frequency.Semiannual;
// unknown what calendar fincad is using
Calendar bondCalendar = new NullCalendar();
DayCounter bondDayCountConvention = new Thirty360(Thirty360.Thirty360Convention.BondBasis);
// unknown what fincad is using. this may affect accrued calculation
int bondSettlementDays = 0;
BusinessDayConvention bondBusinessDayConvention = BusinessDayConvention.Unadjusted;
double bondCleanPrice = 89.97693786;
double bondRedemption = 100.0;
double faceAmount = 100.0;
Settings.setEvaluationDate(repoSettlementDate);
RelinkableHandle<YieldTermStructure> bondCurve = new RelinkableHandle<YieldTermStructure>();
bondCurve.linkTo(new FlatForward(repoSettlementDate,
.01, // dummy rate
bondDayCountConvention,
Compounding.Compounded,
bondCouponFrequency));
/*
boost::shared_ptr<FixedRateBond> bond(
new FixedRateBond(faceAmount,
bondIssueDate,
bondDatedDate,
bondMaturityDate,
bondSettlementDays,
std::vector<Rate>(1,bondCoupon),
bondCouponFrequency,
bondCalendar,
bondDayCountConvention,
bondBusinessDayConvention,
bondBusinessDayConvention,
bondRedemption,
bondCurve));
*/
Schedule bondSchedule = new Schedule(bondDatedDate, bondMaturityDate,
new Period(bondCouponFrequency),
bondCalendar,bondBusinessDayConvention,
bondBusinessDayConvention,
DateGeneration.Rule.Backward,false);
FixedRateBond bond = new FixedRateBond(bondSettlementDays,
faceAmount,
bondSchedule,
new List<double>() { bondCoupon },
bondDayCountConvention,
bondBusinessDayConvention,
bondRedemption,
bondIssueDate);
bond.setPricingEngine(new DiscountingBondEngine(bondCurve));
bondCurve.linkTo(new FlatForward(repoSettlementDate,
bond.yield(bondCleanPrice,
bondDayCountConvention,
Compounding.Compounded,
bondCouponFrequency),
bondDayCountConvention,
Compounding.Compounded,
bondCouponFrequency));
Position.Type fwdType = Position.Type.Long;
double dummyStrike = 91.5745;
RelinkableHandle<YieldTermStructure> repoCurve = new RelinkableHandle<YieldTermStructure>();
repoCurve.linkTo(new FlatForward(repoSettlementDate,
repoRate,
repoDayCountConvention,
repoCompounding,
repoCompoundFreq));
FixedRateBondForward bondFwd = new FixedRateBondForward(repoSettlementDate,
repoDeliveryDate,
fwdType,
dummyStrike,
repoSettlementDays,
repoDayCountConvention,
bondCalendar,
bondBusinessDayConvention,
bond,
repoCurve,
repoCurve);
Console.WriteLine("Underlying bond clean price: " + bond.cleanPrice());
Console.WriteLine("Underlying bond dirty price: " + bond.dirtyPrice());
Console.WriteLine("Underlying bond accrued at settlement: "
+ bond.accruedAmount(repoSettlementDate));
Console.WriteLine("Underlying bond accrued at delivery: "
+ bond.accruedAmount(repoDeliveryDate));
Console.WriteLine("Underlying bond spot income: "
+ bondFwd.spotIncome(repoCurve));
Console.WriteLine("Underlying bond fwd income: "
+ bondFwd.spotIncome(repoCurve)/
repoCurve.link.discount(repoDeliveryDate));
Console.WriteLine("Repo strike: " + dummyStrike);
Console.WriteLine("Repo NPV: " + bondFwd.NPV());
Console.WriteLine("Repo clean forward price: "
+ bondFwd.cleanForwardPrice());
Console.WriteLine("Repo dirty forward price: "
+ bondFwd.forwardPrice());
Console.WriteLine("Repo implied yield: "
+ bondFwd.impliedYield(bond.dirtyPrice(),
dummyStrike,
repoSettlementDate,
repoCompounding,
repoDayCountConvention));
Console.WriteLine("Market repo rate: "
+ repoCurve.link.zeroRate(repoDeliveryDate,
repoDayCountConvention,
repoCompounding,
repoCompoundFreq));
Console.WriteLine("\nCompare with example given at \n"
+ "http://www.fincad.com/support/developerFunc/mathref/BFWD.htm");
Console.WriteLine("Clean forward price = 88.2408");
Console.WriteLine("\nIn that example, it is unknown what bond calendar they are\n"
+ "using, as well as settlement Days. For that reason, I have\n"
+ "made the simplest possible assumptions here: NullCalendar\n"
+ "and 0 settlement days.\n");
Console.WriteLine("nRun completed in {0}", DateTime.Now - timer);
Console.Write("Press any key to continue ...");
Console.ReadKey();
}
