use of org.ojalgo.random.SampleSet in project ojAlgo-finance by optimatika.
the class FinanceUtils method makeCovarianceMatrix.
/**
* @param listOfTimeSeries An ordered collection of time series
* @param mayBeMissingValues Individual series may be missing some values - try to fix this or not
* @return Annualised covariances
*/
public static <N extends Number> PrimitiveMatrix makeCovarianceMatrix(final List<CalendarDateSeries<N>> listOfTimeSeries, final boolean mayBeMissingValues) {
final int tmpSize = listOfTimeSeries.size();
final CoordinationSet<N> tmpUncoordinated = new CoordinationSet<>(listOfTimeSeries);
final CalendarDateUnit tmpDataResolution = tmpUncoordinated.getResolution();
if (mayBeMissingValues) {
tmpUncoordinated.complete();
}
final CoordinationSet<N> tmpCoordinated = tmpUncoordinated.prune(tmpDataResolution);
final Builder<PrimitiveMatrix> tmpMatrixBuilder = PrimitiveMatrix.FACTORY.getBuilder(tmpSize, tmpSize);
final double tmpToYearFactor = (double) CalendarDateUnit.YEAR.size() / (double) tmpDataResolution.size();
SampleSet tmpSampleSet;
final SampleSet[] tmpSampleSets = new SampleSet[tmpSize];
for (int j = 0; j < tmpSize; j++) {
final PrimitiveSeries tmpPrimitiveSeries = tmpCoordinated.get(listOfTimeSeries.get(j).getName()).asPrimitive();
tmpSampleSet = SampleSet.wrap(tmpPrimitiveSeries.quotients().log().toDataSeries());
tmpMatrixBuilder.set(j, j, tmpToYearFactor * tmpSampleSet.getVariance());
for (int i = 0; i < j; i++) {
final double tmpCovariance = tmpToYearFactor * tmpSampleSets[i].getCovariance(tmpSampleSet);
tmpMatrixBuilder.set(i, j, tmpCovariance);
tmpMatrixBuilder.set(j, i, tmpCovariance);
}
tmpSampleSets[j] = tmpSampleSet;
}
return tmpMatrixBuilder.get();
}
use of org.ojalgo.random.SampleSet in project ojAlgo by optimatika.
the class GeometricBrownianMotionTest method testLogNormal.
@Test
@Tag("unstable")
public void testLogNormal() {
final int tmpPeriods = 10000;
final double tmpFactoryExpected = 1.05;
final double tmpFactoryStdDev = PrimitiveFunction.ABS.invoke(new Normal(0.0, (tmpFactoryExpected - ONE)).doubleValue());
final Normal tmpFactoryDistr = new Normal(tmpFactoryExpected, tmpFactoryStdDev);
TestUtils.assertEquals("Factory Expected", tmpFactoryExpected, tmpFactoryDistr.getExpected(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Factory Std Dev", tmpFactoryStdDev, tmpFactoryDistr.getStandardDeviation(), 1E-14 / PrimitiveMath.THREE);
final Primitive64Array tmpRawValues = Primitive64Array.make(tmpPeriods + 1);
tmpRawValues.data[0] = ONE;
for (int t = 1; t < tmpRawValues.count(); t++) {
tmpRawValues.data[t] = tmpRawValues.data[t - 1] * tmpFactoryDistr.doubleValue();
}
final Primitive64Array tmpQuotient = Primitive64Array.make(tmpPeriods);
final Primitive64Array tmpLogDiffs = Primitive64Array.make(tmpPeriods);
for (int t = 0; t < tmpPeriods; t++) {
tmpQuotient.data[t] = tmpRawValues.data[t + 1] / tmpRawValues.data[t];
tmpLogDiffs.data[t] = PrimitiveFunction.LOG.invoke(tmpRawValues.data[t + 1]) - PrimitiveFunction.LOG.invoke(tmpRawValues.data[t]);
}
final SampleSet tmpQuotientSet = SampleSet.wrap(tmpQuotient);
final SampleSet tmpLogDiffsSet = SampleSet.wrap(tmpLogDiffs);
final GeometricBrownianMotion tmpProcess = GeometricBrownianMotion.estimate(tmpRawValues, ONE);
final Normal tmpQuotienDistr = new Normal(tmpQuotientSet.getMean(), tmpQuotientSet.getStandardDeviation());
final LogNormal tmpLogDiffDistr = new LogNormal(tmpLogDiffsSet.getMean(), tmpLogDiffsSet.getStandardDeviation());
final LogNormal tmpProcessDistr = tmpProcess.getDistribution(ONE);
TestUtils.assertEquals("Expected", tmpLogDiffDistr.getExpected(), tmpProcessDistr.getExpected(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Geometric Mean", tmpLogDiffDistr.getGeometricMean(), tmpProcessDistr.getGeometricMean(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Geometric Standard Deviation", tmpLogDiffDistr.getGeometricStandardDeviation(), tmpProcessDistr.getGeometricStandardDeviation(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Standard Deviation", tmpLogDiffDistr.getStandardDeviation(), tmpProcessDistr.getStandardDeviation(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Variance", tmpLogDiffDistr.getVariance(), tmpProcessDistr.getVariance(), 1E-14 / PrimitiveMath.THREE);
double tmpFactoryVal = tmpFactoryDistr.getExpected();
double tmpQuotienVal = tmpQuotienDistr.getExpected();
double tmpLogDiffVal = tmpLogDiffDistr.getExpected();
double tmpProcessVal = tmpProcessDistr.getExpected();
double tmpGeometrVal = tmpProcessDistr.getGeometricMean();
if (RandomProcessTests.DEBUG) {
this.logDebug("Expected", tmpFactoryVal, tmpQuotienVal, tmpLogDiffVal, tmpProcessVal, tmpGeometrVal);
}
final double tmpDeltaExpected = (1E-14 / THREE) * THOUSAND * THOUSAND * THOUSAND * HUNDRED;
TestUtils.assertEquals(tmpQuotienVal, tmpLogDiffVal, tmpDeltaExpected);
TestUtils.assertEquals(tmpQuotienVal, tmpProcessVal, tmpDeltaExpected);
TestUtils.assertEquals(true, tmpGeometrVal <= tmpProcessVal);
tmpFactoryVal = tmpFactoryDistr.getStandardDeviation();
tmpQuotienVal = tmpQuotienDistr.getStandardDeviation();
tmpLogDiffVal = tmpLogDiffDistr.getStandardDeviation();
tmpProcessVal = tmpProcessDistr.getStandardDeviation();
tmpGeometrVal = tmpProcessDistr.getGeometricStandardDeviation();
if (RandomProcessTests.DEBUG) {
this.logDebug("Std Dev", tmpFactoryVal, tmpQuotienVal, tmpLogDiffVal, tmpProcessVal, tmpGeometrVal);
}
final double tmpDeltaStdDev = (1E-14 / THREE) * THOUSAND * THOUSAND * THOUSAND * THOUSAND;
TestUtils.assertEquals(tmpQuotienVal, tmpLogDiffVal, tmpDeltaStdDev);
TestUtils.assertEquals(tmpQuotienVal, tmpProcessVal, tmpDeltaStdDev);
tmpFactoryVal = tmpFactoryDistr.getVariance();
tmpQuotienVal = tmpQuotienDistr.getVariance();
tmpLogDiffVal = tmpLogDiffDistr.getVariance();
tmpProcessVal = tmpProcessDistr.getVariance();
tmpGeometrVal = tmpProcessDistr.getGeometricStandardDeviation() * tmpLogDiffDistr.getGeometricStandardDeviation();
if (RandomProcessTests.DEBUG) {
this.logDebug("Var", tmpFactoryVal, tmpQuotienVal, tmpLogDiffVal, tmpProcessVal, tmpGeometrVal);
}
final double tmpDeltaVar = (1E-14 / THREE) * THOUSAND * THOUSAND * THOUSAND * HUNDRED;
TestUtils.assertEquals(tmpQuotienVal, tmpLogDiffVal, tmpDeltaVar);
TestUtils.assertEquals(tmpQuotienVal, tmpProcessVal, tmpDeltaVar);
tmpFactoryVal = tmpRawValues.data[tmpPeriods];
tmpQuotienVal = PrimitiveFunction.POW.invoke(tmpQuotienDistr.getExpected(), tmpPeriods);
tmpLogDiffVal = PrimitiveFunction.POW.invoke(tmpLogDiffDistr.getExpected(), tmpPeriods);
tmpProcessVal = tmpProcess.getExpected(tmpPeriods);
tmpGeometrVal = PrimitiveFunction.POW.invoke(tmpProcessDistr.getGeometricMean(), tmpPeriods);
if (RandomProcessTests.DEBUG) {
this.logDebug("Final Value", tmpFactoryVal, tmpQuotienVal, tmpLogDiffVal, tmpProcessVal, tmpGeometrVal);
}
final double tmpDeltaFinal = (1E-14 / THREE) * THOUSAND;
TestUtils.assertEquals(ONE, tmpGeometrVal / tmpFactoryVal, tmpDeltaFinal);
}
use of org.ojalgo.random.SampleSet in project ojAlgo by optimatika.
the class GeometricBrownianMotion method estimate.
/**
* @param seriesOfSamples A series of samples, evenly spaced in time.
* @param samplePeriod The amount of time (in which ever unit you prefer) between each sample in the
* series.
*/
public static GeometricBrownianMotion estimate(final Access1D<?> seriesOfSamples, final double samplePeriod) {
final int tmpSizeMinusOne = (int) (seriesOfSamples.count() - 1);
final Array1D<Double> tmpLogDiffSeries = Array1D.PRIMITIVE64.makeZero(tmpSizeMinusOne);
for (int i = 0; i < tmpSizeMinusOne; i++) {
tmpLogDiffSeries.set(i, PrimitiveFunction.LOG.invoke(seriesOfSamples.doubleValue(i + 1) / seriesOfSamples.doubleValue(i)));
}
final SampleSet tmpSampleSet = SampleSet.wrap(tmpLogDiffSeries);
final double tmpExp = tmpSampleSet.getMean();
final double tmpVar = tmpSampleSet.getVariance();
final double tmpDiff = PrimitiveFunction.SQRT.invoke(tmpVar / samplePeriod);
final double tmpDrift = (tmpExp / samplePeriod) + ((tmpDiff * tmpDiff) / TWO);
final GeometricBrownianMotion retVal = new GeometricBrownianMotion(tmpDrift, tmpDiff);
// TODO Seems more natural to set it to the last value, but then some tests fail (need to look into why.)
retVal.setValue(seriesOfSamples.doubleValue(0));
return retVal;
}
use of org.ojalgo.random.SampleSet in project ojAlgo-finance by optimatika.
the class SymbolDataTest method testYahooWeeklyAAPL.
@Test
public void testYahooWeeklyAAPL() {
final YahooSymbol tmpYahoo = new YahooSymbol("AAPL", CalendarDateUnit.WEEK);
final List<? extends DatePrice> tmpRows = tmpYahoo.getHistoricalPrices();
final CalendarDateSeries<Double> tmpDaySeries = new CalendarDateSeries<>(CalendarDateUnit.DAY);
tmpDaySeries.putAll(tmpRows);
final CalendarDateSeries<Double> tmpYearSeries = tmpDaySeries.resample(CalendarDateUnit.YEAR);
final CalendarDateSeries<Double> tmpMonthSeries = tmpDaySeries.resample(CalendarDateUnit.MONTH);
final PrimitiveSeries tmpDataY = tmpYearSeries.asPrimitive();
final PrimitiveSeries tmpDataM = tmpMonthSeries.asPrimitive();
final SampleSet tmpSetY = SampleSet.wrap(tmpDataY.log().differences());
final SampleSet tmpSetM = SampleSet.wrap(tmpDataM.log().differences());
final GeometricBrownianMotion tmpProcY = GeometricBrownianMotion.estimate(tmpDataY, 1.0);
tmpProcY.setValue(1.0);
final GeometricBrownianMotion tmpProcM = GeometricBrownianMotion.estimate(tmpDataM, 1.0 / 12.0);
tmpProcM.setValue(1.0);
LogNormal tmpExpDistr = new LogNormal(tmpSetY.getMean(), tmpSetY.getStandardDeviation());
LogNormal tmpActDistr = tmpProcY.getDistribution(1.0);
TestUtils.assertEquals("Yearly Expected", tmpExpDistr.getExpected(), tmpActDistr.getExpected(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Yearly Var", tmpExpDistr.getVariance(), tmpActDistr.getVariance(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Yearly StdDev", tmpExpDistr.getStandardDeviation(), tmpActDistr.getStandardDeviation(), 1E-14 / PrimitiveMath.THREE);
tmpExpDistr = new LogNormal(tmpSetM.getMean() * 12.0, tmpSetM.getStandardDeviation() * PrimitiveFunction.SQRT.invoke(12.0));
tmpActDistr = tmpProcM.getDistribution(1.0);
TestUtils.assertEquals("Monthly Expected", tmpExpDistr.getExpected(), tmpActDistr.getExpected(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Monthly Var", tmpExpDistr.getVariance(), tmpActDistr.getVariance(), 1E-14 / PrimitiveMath.THREE);
TestUtils.assertEquals("Monthly StdDev", tmpExpDistr.getStandardDeviation(), tmpActDistr.getStandardDeviation(), 1E-14 / PrimitiveMath.THREE);
}
use of org.ojalgo.random.SampleSet in project ojAlgo-finance by optimatika.
the class FinanceUtils method makeCovarianceMatrix.
/**
* @param timeSeriesCollection
* @return Annualised covariances
*/
public static <V extends Number> BasicMatrix makeCovarianceMatrix(final Collection<CalendarDateSeries<V>> timeSeriesCollection) {
final CoordinationSet<V> tmpCoordinator = new CoordinationSet<>(timeSeriesCollection).prune();
final ArrayList<SampleSet> tmpSampleSets = new ArrayList<>();
for (final CalendarDateSeries<V> tmpTimeSeries : timeSeriesCollection) {
final double[] values = tmpCoordinator.get(tmpTimeSeries.getName()).asPrimitive().toRawCopy1D();
final int tmpSize1 = values.length - 1;
final double[] retVal = new double[tmpSize1];
for (int i = 0; i < tmpSize1; i++) {
retVal[i] = PrimitiveFunction.LOG.invoke(values[i + 1] / values[i]);
}
final SampleSet tmpMakeUsingLogarithmicChanges = SampleSet.wrap(Access1D.wrap(retVal));
tmpSampleSets.add(tmpMakeUsingLogarithmicChanges);
}
final int tmpSize = timeSeriesCollection.size();
final Builder<PrimitiveMatrix> retValStore = PrimitiveMatrix.FACTORY.getBuilder(tmpSize, tmpSize);
final double tmpToYearFactor = (double) CalendarDateUnit.YEAR.size() / (double) tmpCoordinator.getResolution().size();
SampleSet tmpRowSet;
SampleSet tmpColSet;
for (int j = 0; j < tmpSize; j++) {
tmpColSet = tmpSampleSets.get(j);
for (int i = 0; i < tmpSize; i++) {
tmpRowSet = tmpSampleSets.get(i);
retValStore.set(i, j, tmpToYearFactor * tmpRowSet.getCovariance(tmpColSet));
}
}
return retValStore.build();
}
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