// // 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 // // Permission is hereby granted, free of charge, to any person // 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. // // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, // 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, // WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR // 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(); } } }