Handbook of Capital Recovery (CR) Factors: European Edition
By Lars Jäger
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About this ebook
Lars Jäger
Prof. Dr. Lars Jäger, Professor of Investment and Finance (Corporate Finance), University of Applied Sciences Worms, Germany.
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Handbook of Capital Recovery (CR) Factors - Lars Jäger
Contents
PREFACE
The capital recovery (CR) factor
Capital recovery (CR) Factors for negative interest rates
Capital recovery (CR) Factors for positive interest rates
PREFACE
This handbook contains capital recovery (CR) factors for negative and positive interest rates. Due to the development at the international financial markets negative interest rates are relevant for the valuation of investments. This book offers you a very simple, quick and effective way to calculate an annuity of payments (payment in arrears) based on a given cash flow/ present value (PV). Therefore it uses the ‚factor method'. Learn to use the method in some minutes. It's so easy! Just multiply the cash flow/ present value with the CR factor. That's all.
Frankfurt, June 2021
Prof. Dr. Lars Jäger
The capital recovery (CR) factor
The annuity as uniform payment series (payment in arrears) is the result of compounding and distributing a present value (PV) with the interest (i) over a specific time (n years). Possible taxes or friction costs are ignored! In the following tables you will find the capital recovery (CR) factors.
The CR factors based on the calculation for one payment unit (1 €). For the calculation of the annuity you have just to multiply the CR factor with the cash flow (present value) you want to distribute.
CR‐factor equation:
How to find the CR‐factor in the tables
You just have to search for the interest rate you like to use for compounding (column in the table) and the number of years (rows) for the distribution.
Annuity calculation with CR‐factors
Example:
We search the annuity for 10 years (uniform annually payment series, payment in arrears)) of a cash flows of 10,000 € (present value). The interest rate is 10 percent.
In this case, the cash flow / present value of 10,000 € has to be multiplied with the CR factor of 0.16274539 (see table). The value of the annuity is 1,627.45 €.
Capital recovery (CR) Factors
for negative interest rates