10/19/2009

Review of Science of inexact mathematics. Investment performance measurement. Mortgages and annuities. Computing algorithms. Attribution. Risk valuation (Hardcover)

The author calls this manuscript a reference book. This is true, because beginners who specialize in the given area will find accurate definitions, necessary formulas for compound and non-compound use cases, many illustrations and practical examples of calculations of internal rate of return.
For the wider public, the book will be useful as good reading about the pitfalls of calculating internal rates of return when simple non-compound formulas are used to simplify calculation instead of more accurate compounding approaches.
On the other hand, professional practitioners will find analyses and examples on the implementation of numeric methods and computer algorithms, including a comprehensive first-hand explanation of Shestopaloff's linking (SL) method from its author.
SL allows one to combine internal rates information about different investment periods to find total rate of return. The method can be used to link sequential and non-sequential periods.
The author shows the relationship between SL and well-known geometric linking and how SL extends the geometric linking approach.
The author compares the results of all algorithms available today to prove SL effectiveness.
I found interesting the discussion of the important role of modified Dietz formula and its usage in numeric calculation.
The book describes different mathematical aspects of annuities, mortgages, the internal rate of return equation, investment attribution analysis, and risk assessments, and can probably be used for the development of new trading techniques.




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