/// <summary>
/// Calculate the end date of the FRA which
/// will replace the cash instrument
/// </summary>
/// <param name="calendar"></param>
/// <param name="assetController"></param>
/// <returns></returns>
public DateTime CalculateFraEndTime(IBusinessCalendar calendar, IPriceableRateAssetController assetController)//,
//string currency, string rollConvention)
{
var deposit = (PriceableDeposit)assetController;
BusinessDayConventionEnum adjustment = deposit.BusinessDayAdjustments.businessDayConvention;
return(DatePeriodHelper.AddPeriod(assetController.GetRiskMaturityDate(),
"3M", calendar, adjustment.ToString(), null));
}
/// <summary>
/// Initializes a new instance of the <see cref="RateAssetQuote"/> class.
/// </summary>
/// <param name="priceableAsset">The priceable asset.</param>
/// <param name="baseDate">The base date.</param>
/// <param name="interpolation">The interpolation.</param>
/// <param name="extrapolation">if set to <c>true</c> [extrapolation].</param>
/// <param name="dfs">The discount factors.</param>
/// <param name="tolerance">The tolerance.</param>
public RateAssetQuote(IPriceableRateAssetController priceableAsset, DateTime baseDate, InterpolationMethod interpolation,
bool extrapolation, IDictionary <DateTime, double> dfs, double tolerance)
{
PriceableAsset = priceableAsset;
BaseDate = baseDate;
Dfs = dfs;
InterpolationMethod = interpolation;
Extrapolation = extrapolation;
Tolerance = tolerance;
Quote = MarketQuoteHelper.NormalisePriceUnits(PriceableAsset.MarketQuote, "DecimalRate").value;
}
/// <summary>
/// PreCondition: the initialCurve must have been
/// assigned
/// </summary>
/// <param name="index"></param>
private void CheckDepositInstrument(int index)
{
if (_initialCurve == null)
{
throw new System.Exception("The initial curve has not been constructed.");
}
IPriceableRateAssetController rateAssetController = _initialCurve.PriceableRateAssets[index];
if (!rateAssetController.Id.ToUpper().Contains("DEPOSIT"))
{
throw new ArgumentException("The specified asset is not CASH asset.");
}
}
/// <summary>
/// Bootstraps the specified priceable assets.
/// </summary>
/// <param name="priceableAssets">The priceable assets.</param>
/// <param name="baseZeroCurve">The base Zero Curve</param>
/// <param name="algorithmHolder">The algorithmHolder</param>
/// <returns></returns>
public TermPoint[] Bootstrap(List <IPriceableRateAssetController> priceableAssets,
IRateCurve baseZeroCurve, PricingStructureAlgorithmsHolder algorithmHolder)
{
var items = new SortedDictionary <DateTime, Pair <string, decimal> >();
DateTime baseDate = baseZeroCurve.GetBaseDate();
items.Add(baseDate, new Pair <string, decimal>(null, 1m));
bool firstTime = true;
const double compoundingPeriod = 0.25;
IPriceableRateAssetController previousAsset = null;
IEnumerable <TermPoint> basePillars = baseZeroCurve.GetTermCurve().point;
IDayCounter dayCounter = null;
foreach (IPriceableRateAssetController priceableAsset in priceableAssets)
{
List <DateTime> assetDates;
if (priceableAsset is PriceableSwapRateAsset swap)
{
dayCounter = DayCounterHelper.Parse(swap.DayCountFraction.Value);
assetDates = swap.AdjustedPeriodDates;
}
else
{
PriceableDeposit deposit = priceableAsset as PriceableDeposit;
if (deposit == null)
{
throw new ArgumentException(
$"PriceableAsset must be a PriceableSwapRateAsset or PriceableDeposit, '{priceableAsset.GetType()}' is not implemented.");
}
dayCounter = DayCounterHelper.Parse(deposit.Deposit.dayCountFraction.Value);
assetDates = new List <DateTime> {
deposit.AdjustedStartDate, deposit.GetRiskMaturityDate()
};
}
DateTime maturityDate = priceableAsset.GetRiskMaturityDate();
if (items.Keys.Contains(maturityDate))
{
throw new ArgumentException(
$"Duplicate priceable asset on '{maturityDate:yyyy-MM-dd}'", nameof(priceableAssets));
}
//The min and max values to use with the solver.
const int xmin = -1;
const int xmax = 1;
var accuracy = 10 ^ -12;
if (firstTime)
{
firstTime = false;
// Solve to find the quarterly compounded zero rate spread
var solverFunctions
= new NewtonRaphsonSolverFunctions(priceableAsset, null, algorithmHolder, baseZeroCurve,
baseDate, items, compoundingPeriod, ZeroRateSpreads, dayCounter, assetDates);
var solver = new Newton();
var initialGuess = (double)priceableAsset.MarketQuote.value;
//var solution = new CenteredFiniteDifferenceDerivative();
Func <double, double> f = solverFunctions.ShortEndTargetFunction;
var derivativeOfTargetFunction = new NumericalDerivative().CreateDerivativeFunctionHandle(f, 1);
double zeroRateSpread = solver.Solve(f, derivativeOfTargetFunction, accuracy, initialGuess, xmin, xmax);
// add first point
DateTime startDate = assetDates.First();
decimal df = (decimal)GetAdjustedDiscountFactor(baseDate, startDate, dayCounter, zeroRateSpread, baseZeroCurve);
if (startDate != baseDate)
{
items.Add(startDate, new Pair <string, decimal>(null, df));
}
ZeroRateSpreads.Add(maturityDate, zeroRateSpread);
// add extra points
IEnumerable <TermPoint> extraPoints = basePillars.Where(b => (DateTime)b.term.Items[0] > startDate && (DateTime)b.term.Items[0] < maturityDate);
// Extrapolate the preceding extra points
foreach (TermPoint extraPoint in extraPoints)
{
DateTime date = (DateTime)extraPoint.term.Items[0];
df = (decimal)GetAdjustedDiscountFactor(baseDate, date, dayCounter, zeroRateSpread, baseZeroCurve);
items.Add(date, new Pair <string, decimal>(extraPoint.id, df));
}
// add final point
df = (decimal)GetAdjustedDiscountFactor(baseDate, maturityDate, dayCounter, zeroRateSpread, baseZeroCurve);
items.Add(maturityDate, new Pair <string, decimal>(priceableAsset.Id, df));
}
else
{
items.Add(maturityDate, new Pair <string, decimal>(priceableAsset.Id, 0));
ZeroRateSpreads.Add(maturityDate, (double)priceableAsset.MarketQuote.value);
// Solve to find the quarterly compounded zero rate spread
var solverFunctions
= new NewtonRaphsonSolverFunctions(priceableAsset, previousAsset, algorithmHolder, baseZeroCurve,
baseDate, items, compoundingPeriod, ZeroRateSpreads, dayCounter, assetDates);
Func <double, double> f = solverFunctions.LongEndTargetFunction;
var solver = new Newton();
var initialGuess = (double)priceableAsset.MarketQuote.value;
var derivativeOfTargetFunction = new NumericalDerivative().CreateDerivativeFunctionHandle(f, 1);
double zeroRateSpread = solver.Solve(f, derivativeOfTargetFunction, accuracy, initialGuess, xmin, xmax);
// Update discount factor value
decimal df = (decimal)GetAdjustedDiscountFactor(baseDate, maturityDate, dayCounter, zeroRateSpread, baseZeroCurve);
items[maturityDate].Second = df;
ZeroRateSpreads[maturityDate] = zeroRateSpread;
solverFunctions.UpdateDiscountFactors(baseDate);
}
previousAsset = priceableAsset;
}
// Extrapolate the following extra points
IEnumerable <TermPoint> finalPoints = basePillars.Where(b => (DateTime)b.term.Items[0] > items.Last().Key);
KeyValuePair <DateTime, double> zeroRateSpreadFinal = ZeroRateSpreads.Last();
foreach (TermPoint extraPoint in finalPoints)
{
DateTime date = (DateTime)extraPoint.term.Items[0];
decimal df = (decimal)GetAdjustedDiscountFactor(baseDate, date, dayCounter, zeroRateSpreadFinal.Value, baseZeroCurve);
items.Add(date, new Pair <string, decimal>(extraPoint.id, df));
}
return(TermPointsFactory.Create(items));
}
/// <summary>
/// Initializes a new instance of the <see cref="RateAssetQuote"/> class.
/// </summary>
/// <param name="priceableAsset">The priceable asset.</param>
/// <param name="baseDate">The base date.</param>
/// <param name="interpolation">The interpolation.</param>
/// <param name="extrapolation">if set to <c>true</c> [extrapolation].</param>
/// <param name="dfs">The discount factors.</param>
public RateAssetQuote(IPriceableRateAssetController priceableAsset, DateTime baseDate, InterpolationMethod interpolation,
bool extrapolation, IDictionary <DateTime, double> dfs)
: this(priceableAsset, baseDate, interpolation, extrapolation, dfs, DefaultTolerance)
{
}
/// <summary>
/// Calculate the start date of the FRA which
/// will replace the cash instrument
/// </summary>
/// <param name="assetController"></param>
/// <returns></returns>
public DateTime CalculateFraStartTime(IPriceableRateAssetController assetController)
{
return(assetController.GetRiskMaturityDate());
}
