- Risk-free interest rate
The

**risk-free interest rate**is theinterest rate that it is assumed can be obtained by investing infinancial instruments with nodefault risk . However, the financial instrument can carry other types of risk, e.g.market risk (the risk of changes in market interest rates),liquidity risk (the risk of being unable to sell the instrument for cash at short notice without significant costs) etc.**Risk-free assets**Though a truly risk-free asset exists only in theory, in practice most professionals and academics use short-dated government bonds of the currency in question. For USD investments, usually US Treasury bills are used, while a common choice for EUR investments are German government bills or

Euribor rates. The mean real interest rate of US treasury bills during the 20th century was 0.9% p.a. (Corresponding figures for Germany are inapplicable due to hyperinflation during the 1920s.) [*Dimson, Marsh & Staunton: "Triumph of the Optimists", Princeton Universtity Press, 2002.*]These securities are considered to be risk-free because the likelihood of these governments defaulting is extremely low, and because the short maturity of the bill protects the investor from interest-rate risk that is present in all

fixed rate bond s (if interest rates go up soon after the bill is purchased, the investor will miss out on a fairly small amount of interest before the bill matures and can be reinvested at the new interest rate).Since this interest rate can be obtained with no risk, it is implied that any additional risk taken by an investor should be rewarded with an interest rate higher than the risk-free rate (on an after-tax basis, which may be achieved with preferential tax treatment; some local government US bonds give below the risk-free rate).

**Application**The risk-free interest rate is thus of significant importance to

Modern Portfolio Theory in general, and is an important assumption forrational pricing . It is also a required input in financial calculations, such as theBlack-Scholes formula for pricingstock option s. Note that some finance and economic theory assumes that market participants can borrow at the risk free rate; in practice, of course, very few borrowers have access to finance at the risk free rate.**Why risk-free?**One explanation for the assumption that no default risk exists is due to the nature of government debt. For a

fiat currency , the government retains the theoretical capacity to print as much of that currency as will be required to pay its own debts (in that currency). In this case, true default is theoretically impossible: owners of government debt can always be paid, but with money that may have substantially lower value. Rather than reflecting the default risk of the government, the risk-free interest rate, therefore, reflects the likelihood that the government will print money to pay its debts, thereby debasing the currency. Note that this does not apply to currencies such as theEuro where no individual government has the authority to print currency. Of course, many countries have other measures and institutions (such as theoretically independentcentral bank s) to reduce the likelihood of such an occurrence.An alternative interpretation is that, while no investment is truly free of risk, scenarios in which a major government with a long track record of stability defaults on its obligations are so far outside what is known that one cannot make quantitative statements about their chances of happening, and therefore it is simply not feasible to include them in financial planning. A German investor living circa 1904 trying to decide whether to purchase long-term bonds issued by the German government could scarcely have been able to anticipate a World War followed by

hyperinflation .**References****ee also***

Short rate model

*Real interest rate

*Capital asset pricing model

*Beta coefficient

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

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