Rates and Returns Flashcards
(23 cards)
Equilibrium interest rate is…
The required rate of return for a particular investment
Interest rates are also known as Discount rates because…
If an individual is borrowing funds at 10% interest, then the individual should discount payments to be made in the future to get their equivalent current value.
Interest Rate can be viewed as Opportunity Cost because…
If market rate of return on 1-year security is 5%, earning this additional 5% is the opportunity that we lost by consuming that money instead of saving.
Real risk-free rate of interest
Theoretical rate on a single-period loan that contains no expectation of inflation and zero probability of default
Real rate of return refers to…
Increase in the purchasing power of investors after adjusting for inflation as the expected future inflation is not zero
U.S T-bills are…
Risk-free rates but not real rates of returns. (Nominal risk-free rates)
Nominal risk-free rates contain…
Inflation premium.
(1+ nominal risk free rate) = (1+real risk free rate)(1+ expected inflation rate)
or
nominal risk-free rate ≈ real risk-free rate + expected inflation rate
Default Risk
Borrower will not make promised returns on a timely manner
Liquidity Risk
Risk of receiving less than fair value for an investment if it must be sold quickly for cash
Maturity risk
Longer-term bonds’ prices are more volatile than short-term bonds leading to more maturity risk and require a maturity risk premium
Risk premium will be added to the nominal risk-free rate to adjust for…
greater default risk, less liquidity, and longer maturity relative to a liquid, short-term, default risk-free rate such as that on T-bills.
nominal rate of interest =
real risk-free rate + inflation premium + default risk premium + liquidity risk premium + maturity risk premium
Holding Period return =
(end-of-period value/beginning-of-period value) -1
HPR of a stock that pays a dividend =
(Pt+DIVt)/Po -1
HPR for 3 years
(1+HPR year1)(1+HPR year2)(1+HPR year3)-1
Return over multiple years is typically stated as Annualized return rather than HPR
Arithmetic Mean Return
Simple average of series of periodic returns.
Which has the statistical property of being an unbiased estimator of the true mean of underlying distributing returns.
Arithmetic Mean Return
Geometric Mean Return is a
Compound rate of returns over multiple periods and is always ≤ AM. The difference increases as the dispersion of the observations increases
Harmonic Mean used for
average cost of shares purchased over time
The relationship between AM, GM and HM can be stated as
AM X HM =(GM)^2
Cost Averaging is a
practice of purchasing same amount of mutual funds every month or week
If the variables in observations are different then the relationship between AM, GM, and HM is…
HM<GM<AM