Module 43a: Financial Risk Management Flashcards
there is a trade off between risk and returns when considering investments
to achieve higher returns an investor must assume greater risk
variance is the term used for
higher risk
equity risk premium
equal to the real return on stocks minus the risk-free real return as measured by the treasury bills
chart on page 192
average risk premium on common stock versus bonds over the ten year period (page 192)
is mean return on stocks minus mean return on bonds
risk averse
most financial models assume that investors are risk averse
risk aversion does not mean investors will not take risks; it means that they must be compensated for taking a risk
most investors and the market as a whole are considered by most analysts to be risk averse
however, certain investors may exhibit different behavior
risk neutral investors
investors that prefer investments with higher returns whether or not they have risk
these investors disregard risk
risk seeking investors
investors that prefer to take risks and would invest in a higher risk investment despite the fact that a lower risk investment might have the same return
investment return
the total gain or loss on an investment for a period of time
consists of the change in the asset’s value (either gain or loss) plus any cash distribution (cash flow, interest, dividends)
ex post basis
“after the fact” investment return formula
therefore it does not consider risk
ex ante basis
managers have to evaluate investments on an ex ante basis and therefore must use expexted returns and estimates of risk
estimating expected returns
a common way to do this is based on prior history
one could simply calculate the average historical returns on a similar investment to get the expected return
two approaches are often used in making this computation:
- arithmetic average return
- geometric average return
arithmetic average return
computed by simply adding the historical returns for a number of periods and dividing by the number of periods
generally recommended that arithmetic average be used for assets with short holding periods (vs longer holding periods)
geometric average return
this computation depicts the compound annual return earned by an investor who bought the asset and held it for the number of historical periods examined
if returns vary through time, the geometric average will always fall below the arithmetic average
it is recommended that geometric average be used for assets with longer holder periods (vs short holding periods)
estimating risk
measures of risk are often developed from historical returns
the pattern of historical returns of large numbers of similar investments approximates a nomal distribution (bell shaped curve) with the mean being the expected return and the variance, or standard deviation, measuring the dispersion around the expected return
**if you assume that the distribution is normal, about 95% of the returns will fall within the range created by expected return plus/minus two standard deviations
coefficient of variation
a measurement of risk, where a lower number is less risky (the higher the number the riskier)
=standard deviation/expected return
when an investor invests in a portfolio of assets, the expected returns are simply
the weighted average of the expected returns of the assets making up the portfolio
Expected return on the portfolio= (the weight of asset1)(expected return on asset1) + etc of 2
the variance of portfolio returns
depends on three factors:
- the percentage of the portfolio invested in each asset (the weight)
- the variance of the returns of each individual asset
- the covariance among the returns of assets in the portfolio
Covariance
the covariance captures the degree to which the asset returns move together over time
if returns on the individual assets move together, there is little benefit to holding the portoflio
on the other hand, if returns on some assets in the portfolio go up when returns on other assets in the portfolio go down, holding the portfolio reduces overall risk
portfolios allow investors to diversify away unsystematic risk
unsystematic risk= the risk that exists for one particular ivnestment or a group of like investments (e.g. technology stock)
by having a balanced portfolio, investors can theoretically eliminate this risk
systematic risk
relates to the market factors that cannot be diversified away
all investments are to some degree affected by them
examples: fluctuations in GDP, inflation, interest rates, etc.
beta
it measures how the value of a particular investment moves along with the market (chanes in the value of the portfolio)
it can be used to evaluate the effect of an individual investments risk on the risk of the entire portfolio
risk preference function
an individual investor has a risk preference function, which describes the investor’s trade-off between risk and return
a portfolio that falls on the line described by this function is an efficient portfolio
interest rates
represent the cost of borrowing funds
credit or default risk
the risk that th firm will default on payment of interest or principal of the loan or bond
this may be divided into two parts:
- the individual firm’s creditworthiness (or risk of default) and
- sector risk- the risk related to economic conditions in the firm’s economic sector
credit risk is an example of unsystematic risk that you can diversify away
credit risk can be eliminated by diversification (investing in a portfolio of loans or bonds)
interest rate risk
the risk that the value of the loan or bond will decline due to an increase in interest rates
part of systematic risk that must be accepted by the investor
something with risk payment that is fixed- if interest rate goes up, since yours is valued at a fixed investment, the value of yours is going to go down
market risk
the risk that the value of a loan or bond will decline due to a decline in the aggregate value of all the assets in the economy
part of systematic risk that must be accepted by the investor
recession or depression
business risk
in determining the appropriate interest rate to accept, investors and creditors consider the business risks of the loan or investment
relevant business risks are:
- credit or default risk
- interest rate risk
- market risk
in order to put interest rates on a common basis for comparison,
management must distinguish between the stated interest rate and the effective annual interest rate
stated interest rate
the contractual rate charged by the lender
effective annual interest rate
the true annual return to the lender
the simple annual rate may vary from the effective annual rate because interest is often compounded more often than annually