public void ConvexityAdjustmentAsExample()
{
var valDate = new DateTime(2017, 01, 31);
var expiry = new DateTime(2020, 01, 31);
var depoExpiry = new DateTime(2020, 04, 30);
var volatility = 0.012;
var adjustment = FuturesConvexityUtils.CalculateConvexityAdjustment(valDate, expiry, depoExpiry, volatility, Dates.DayCountBasis.ThirtyE360);
var exampleExpected = 0.0007;
Assert.Equal(exampleExpected, adjustment, 4);
}
public void FuturesStripWithConvexity()
{
var volatility = 0.03;
var startDate = new DateTime(2017, 01, 17);
var nContracts = 24;
var currentDate = startDate.GetNextImmDate();
var expiries = new DateTime[nContracts];
var pillars = new DateTime[nContracts];
var instruments = new IFundingInstrument[nContracts];
var nyc = TestProviderHelper.CalendarProvider.Collection["NYC"];
var lon = TestProviderHelper.CalendarProvider.Collection["LON"];
var ccyUsd = TestProviderHelper.CurrencyProvider["USD"];
var usd3m = new FloatRateIndex()
{
Currency = ccyUsd,
DayCountBasis = DayCountBasis.Act_360,
DayCountBasisFixed = DayCountBasis.Act_360,
ResetTenor = 3.Months(),
FixingOffset = 2.Bd(),
HolidayCalendars = nyc,
RollConvention = RollType.MF
};
for (var i = 0; i < nContracts; i++)
{
var wed3rd = currentDate.ThirdWednesday();
expiries[i] = wed3rd.SubtractPeriod(RollType.P, lon, 2.Bd());
pillars[i] = wed3rd.AddPeriod(usd3m.RollConvention, usd3m.HolidayCalendars, usd3m.ResetTenor);
instruments[i] = new STIRFuture()
{
Currency = ccyUsd,
ContractSize = 1e6,
ConvexityAdjustment = FuturesConvexityUtils.CalculateConvexityAdjustment(startDate, expiries[i], pillars[i], volatility),
DCF = 0.25,
Expiry = expiries[i],
ForecastCurve = "USD.LIBOR.3M",
Index = usd3m,
Position = 1.0,
Price = 99.50,
SolveCurve = "USD.LIBOR.3M"
};
currentDate = currentDate.AddMonths(3);
}
var fic = new FundingInstrumentCollection(TestProviderHelper.CurrencyProvider);
fic.AddRange(instruments);
var curve = new IrCurve(pillars, new double[nContracts], startDate, "USD.LIBOR.3M", Interpolator1DType.LinearFlatExtrap, ccyUsd);
var model = new FundingModel(startDate, new[] { curve }, TestProviderHelper.CurrencyProvider, TestProviderHelper.CalendarProvider);
var s = new Calibrators.NewtonRaphsonMultiCurveSolver()
{
Tollerance = IsCoverageOnly ? 1 : 0.00000001
};
s.Solve(model, fic);
if (!IsCoverageOnly)
{
for (var i = 0; i < nContracts; i++)
{
var resultPV = instruments[i].Pv(model, false);
Assert.Equal(0, resultPV, 6);
}
}
}