//
// Math.NET Numerics, part of the Math.NET Project
// http://numerics.mathdotnet.com
// http://github.com/mathnet/mathnet-numerics
//
// Copyright (c) 2009-2015 Math.NET
//
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// obtaining a copy of this software and associated documentation
// files (the "Software"), to deal in the Software without
// restriction, including without limitation the rights to use,
// copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following
// conditions:
//
// The above copyright notice and this permission notice shall be
// included in all copies or substantial portions of the Software.
//
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// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
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// OTHER DEALINGS IN THE SOFTWARE.
//
using System;
using System.Collections.Generic;
using System.Linq;
using IStation.Numerics.Statistics;
namespace IStation.Numerics.Financial
{
public static class AbsoluteReturnMeasures
{
///
/// Compound Monthly Return or Geometric Return or Annualized Return
///
public static double CompoundReturn(this IEnumerable data)
{
if (data == null)
{
throw new ArgumentNullException(nameof(data));
}
int count = 0;
double compoundReturn = 1.0;
foreach (var item in data)
{
count++;
compoundReturn *= 1 + item;
}
return count == 0 ? double.NaN : Math.Pow(compoundReturn, 1.0/count) - 1.0;
}
///
/// Average Gain or Gain Mean
/// This is a simple average (arithmetic mean) of the periods with a gain. It is calculated by summing the returns for gain periods (return 0)
/// and then dividing the total by the number of gain periods.
///
/// http://www.offshore-library.com/kb/statistics.php
public static double GainMean(this IEnumerable data)
{
if (data == null)
{
throw new ArgumentNullException(nameof(data));
}
return data.Where(x => x >= 0).Mean();
}
///
/// Average Loss or LossMean
/// This is a simple average (arithmetic mean) of the periods with a loss. It is calculated by summing the returns for loss periods (return < 0)
/// and then dividing the total by the number of loss periods.
///
/// http://www.offshore-library.com/kb/statistics.php
public static double LossMean(this IEnumerable data)
{
if (data == null)
{
throw new ArgumentNullException(nameof(data));
}
return data.Where(x => x < 0).Mean();
}
}
}