# Risikofreier Zinssatz

Determination of market-wide implied cost of capital.

Risikoloser Zins Was ist ein risikoloser Zins? Wenn ein Kunde sein Geld bei einem Schuldner anlegt, von dem ohne jeden Zweifel gesagt werden kann, dass er das Geld und die Zinsen darauf zurückzahlt, nennt man diese Zinsen risikolos. Many translated example sentences containing "risikofreier Zinssatz" – English-German dictionary and search engine for English translations.

## KudoZ™ translation help

Implied cost of capital — The very basics The value of a company is equal to the discounted value of the dividend payments "Dividend Discount Model". Using three years of explicit dividend forecasts and a constant-growth assumption from year 4 on, the market value MV 0 can be written as:. All we need to estimate implied cost of capital are estimates for these three input parameters: The current market value, dividend forecasts and a long-term growth rate.

A lot of discussions on implied cost of capital centers around the long-term growth rate. Naively applied, it can have a huge impact on implied cost of capital estimates. However, growth cannot come from nothing, in particular not in the long-run. Such a company would very quickly end up having an extremely high profitability. This is unlikely to happen as competition would certainly erode these high returns.

We will make a very simple assumption: Payout ratios and growth rates from year 3 on must be consistent:. The left-hand side of equation 2 is the retention in percent of year-2 book value of equity.

Our assumption means that earnings and dividends cannot grow faster than book values over the long-run. This assumes that return on equity will stay at the level it reached reached directly before the terminal value period started.

Equation 1 then simplifies to. We describe and discuss equation 2 in more detail in the separate document "Long-run growth rates". How can we apply equation 1 to estimate implied cost of capital for whole markets? There are two possibilities, one that is frequently applied in the academic literature, and one that we prefer.

Determine implied cost of capital for each company using 1 , and then take a weighted average of these estimates. Aggregate the input parameters across all companies, i. Apply equation 1 to these aggregate values. We use the latter approach for two reasons: First, estimates are better.

It can be shown that the first approach inhibits a bias in the estimation of the market wide implied cost of capital. Second, results using the latter approach are much easier to interpret. The following table provides an overview of aggregate statistics for the German market as of March, 31st, The year German government bond yield was 1. Kapitalmarktorientierte Ableitung des Basiszinses. Compounding method Discrete Continuous.

Investment horizon Investment horizon Perpetual 1 year 2 years 3 years 4 years 5 years 6 years 7 years 8 years 9 years 10 years 11 years 12 years 13 years 14 years 15 years 16 years 17 years 18 years 19 years 20 years 21 years 22 years 23 years 24 years 25 years 26 years 27 years 28 years 29 years 30 years. Terminal growth rate perpetual. Extrapolation method 30 years years.

Smoothing period From to. Resulting risk free yield Selected risk free rate. Valuation date Reference date for the valuation. Also called appraisal or valuation date. There are basically two main conventions to specify a valuation date. They have both the same meaning: All relevant information available as of that date should be considered within the valuation. This includes available information for the estimation of an appropriate cost of capital.

We use variant i here. In consequence, the risk free rate as part of the cost of capital is specific for each valuation date. Currency Currencies for which Basiszinskurve. An appropriate discount rate should have the same currency nomination as the cash flow of your investment. Country risk premium The country risk premia reflect the latest bond ratings and appropriate default spreads for different countries. While these numbers can be used as rough estimates of country risk premiums, you may want to modify the premia to reflect your specific assessment.

For the risk free rate, we use the Svensson-Siegel method to determine interest rate estimates. These parameters are input factors for the Svensson function to determine the yield curve at a specific point of time. Compounding method Yield curves are provided in discrete and continuous terms. However, you can choose how the interest rates should be presented. We convert the interest rates accordingly. Please refer to the technical appendix on our website for details.

Investment horizon The investment horizon of your investment, i. If the investment horizon is indefinite - as usually assumed in business valuations - we recommend to apply a perpetual setting.

Terminal growth rate The interest curve is based on the Svensson method. The corresponding rates are zero-coupon interest rates. To value an investment with certain cash flows over a certain period the cash flows would need to be discounted with the respective zero rate. Or alternatively, based on the result of the this approach an coupon-yield can be determined resulting in an equivalent value.

As this coupon rate would be dependent on the specific cash flow stream some simplified grwoth assumptions are often applied in practice. Therefore we offer an option to calculate the coupon-yield curve for an perpetual investment with custom growth rates.

Extrapolation method For the risk free rate we use the Svensson method to determine zero interest rate yield curves for up to 30 years. For a perpetual investment horizon we support two extrapolation methods for the determination of an corresponding coupon-yield rate in accordance with the two different IDW methods see Terminal growth rate: Smoothing period In general, the risk free rate curve fluctuates on a daily basis. To avoid high fluctuations the IDW recommends to apply interest smoothing.

It is typical to apply the interest smoothing over a period of 3 months or, alternatively, 90 days before the valuation date. This is the default setting in our calculation. However, we allow for individual selection of the smoothing period. Resulting risk free yield curve The chart shows the resulting risk free zero yield curve as of the selected valuation date based on the Svensson method.

#### Wie wird der risikolose Zins berechnet?

Zerobond-Zinssatze quasi- sicherer Emittenten sind die laufzeitadäquaten Zinssätze ohne Ausfall- und Zinsänderungsrisiko zur periodenspezifischen Diskontierung risikoloser Zahlungsüberschüsse. He doesn't like it, and has actively attempted to whitewash censor reformat this article to better suit his view of himself.

#### Closed On:

At the end of their journey they would sit on his shoulders and whisper into his ears all that they had seen and heard.