Risk-free rate

Risk-free Rate
(1) A theoretical return that is earned with perfect certainty; it is without risk.

Risk-Free Rate of Return
The theoretical rate of return of an investment with zero risk. The risk-free rate represents the interest an investor would expect from an absolutely risk-free investment over a specified period of time.

Risk-free Rate
The rate of return on an investment with known future benefits; a
riskless rate of return, often estimated using the return earned on
short-term U.S. Treasury securities ...

Risk-free rate
The RATE OF RETURN earned on a risk-free ASSET. This is a crucial component of MODERN PORTFOLIO theory, which assumes the existence of both risky and risk-free assets.

Risk-free rate
The rate earned on a riskless asset.
Road show
A promotional presentation by an issuer of securities to potential buyers about the desirable qualities of the investments.

A risk-free rate of return
A risk premium associated with the investment
The equation below shows how CAPM works:
r = rf + β × P ...

The risk-free rate is important to investors as it is used for valuation.
It is often useful for investors to think in terms of real rather than nominal interest rates.
Some investments pay floating interest rates rather than fixed interest.

The risk-free rate is the quoted rate on an asset that has virtually no risk. In practice, it is the rate quoted for 90-day US Treasury bills.

The risk-free rate usually corresponds to the rate available on a risk-free investment. In most cases it corresponds to the rate paid on long-term government bonds, which are considered relatively risk-free.

What is risk premium?

where r is the risk-free rate, (μ, σ) are the expected return and volatility of the stock market and dBt is the increment of the Wiener process, i.e. the stochastic term of the SDE.

Example, if the risk-free rate ratio is 5%, the beta value of a stock (or other instrument) is 4% and expected market return is 8%, then the expected return (R) according to CAPM is 5 + 4 (8 - 5) = 17%.

In Exhibit 1, the risk-free rate is assumed to be 5%, and a tangent line-called the capital market line-has been drawn to the efficient frontier passing through the risk-free rate.

Security characteristic line A plot on a graph of the excess return on a security over the risk-free rate as a function of the excess return on the market. The slope of this line is the security's beta.

Risk-adjusted discount rate The rate established by adding a expected risk premium to the risk-free rate in order to determine the present value of a risky investment.

Assuming that the risk-free rate is not stochastic (then its expected value is exactly equal to Rf), the two different equation versions coincide.

The Black-Scholes Option Pricing Model predicts an option's price given the strike price, expiration date, risk-free rate of return, stock price, and standard deviation of the stock's return.

where r = the expected (or required) return on a security, rf = the risk-free rate (such as a T-bill), rm = the expected return on the market portfolio (such as Standard & Poor's 500 Stock Composite Index or Dow Jones 30 Industrials), and b = beta, ...

The Sortino ratio is the excess return over the risk-free rate divided by the downside semi-variance, and so it measures the return to "bad" volatility.

The return (numerator) is defined as the incremental average return over and above the risk-free rate (T-Bills). Risk (denominator) is defined as the standard deviation of these investment returns.

Expected return equals some risk-free rate (generally the prevailing U.S. Treasury note or bond rate) plus a risk premium (the difference between the historic market return, based upon a well diversified index such as the S& ...

Expected rate of return - Risk-free rate of return + Risk premium
Further, the model suggests that the prices of ASSETS are determined in such a way that the RISK PREMIUMS or excess returns are proportional to systematic risk, ...

While required rates of return can be rigorously estimated based upon historical returns on investments with similar risk patterns (often derived by combining risk-free rates of return based on government bonds with those derived from publicly ...

The risk-free rate represents the interest on an investor's money that he or she would expect from an absolutely risk-free investment over a specified period of time.

It is calculated by dividing the portfolio's excess return over the risk-free rate by the risk (i.e. standard deviation) of portfolio returns. The higher the Sharpe Ratio, the better the portfolio's return in risk adjusted terms.

Returns in excess of the risk-free rate or in excess of a market measure such as the S&P 500 index.
Expected return:
The average of a probability distribution of possible returns.

A plot of the excess return on a security over the risk-free rate as a function of the excess return on the market. The slope of this line is the securitys beta.
Security deposit (initial) ...

excess returns: Asset returns in excess of the risk-free rate. Used especially in the context of the CAPM. Excess returns are negative in those periods in which returns are less than the risk-free rate. Contrast abnormal returns.

excess returns
Returns in excess of the risk-free rate or in excess of a market measure such as the S&P 500 index.

A measure of the excess return per unit of risk, where excess return is defined as the difference between the portfolio's return and the risk-free rate of return over the same evaluation period and where the unit of risk is the portfolio's beta.

Risk premium
The return on a fund (or an index) less the risk-free return rate. Risk-free rates are represented by the return generated by short-term federal government bonds (91-day Treasury bills).

Forces Behind Interest Rates
Modern Portfolio Theory: Why It's Still Hip
How Risk Free Is The Risk-Free Rate Of Return?
Why Interest Rates Matter For Forex Traders ...

For example, assume that the risk-free rate (rf) is 8%, and the expected market return (rm) is 12%. Then if b = 0, r = 8% + 0 (12% - 8%) = 8%. If b = 2.0, r = 8% + 2.0 (12% - 8%) = 16%.

It is a portfolio's excess return over the risk-free rate divided by the portfolio's standard deviation. The portfolio's excess return is its geometric mean return minus the geometric mean return of the risk-free instrument (by default, T-bills).

The return of an asset or security is the risk-free return plus a risk premium based on the excess of the return on the market over the risk-free rate multiplied by the asset's systematic risk (which can­not be eliminated by diversification).

Credit spread
The interest margin over the relevant benchmark representing the additional interest paid by the issuer to account for the incremental risk of the issuer over the risk-free rate.

Risk Premium Additional return, over the risk-free rate, to compensate investors for accepting (holding) risk.

value of an investment, including the change in price and any payments or dividends, calculated from a probability distribution curve of all possible rates of return. In general, if an asset is risky, the expected return will be the risk-free rate of ...

The risk premiums relate an investment to the market's risk-free or riskless rate of return. Typically, this risk-free rate is viewed in terms of principal safety for short term U.S. government obligations.

R - research and development, R&D, random walk stochastic process, real return, research and development, return on equity, return on investment, risk-adjusted return, risk factor, risk premium, risk-free rate ...

Risk-free rate The rate earned on a riskless asset. Roll over Reinvest funds received from a maturing security in a new issue of the same or a similar security.

See also: Expected return, Expense, Banks, Asset pricing model, Capital asset pricing model