Intro to finance 4
16 flashcards · Other · by Daniel F.
Expected rate of return E(R)
not anticipated outcome mathematical expected outcome
standard deviation of E(R)
risk what is the probability that the E(R) will not be what we calculated on average (68%) my possible rate of return will differ from E(R) in the one sigma range 95% of the time in the 2 sigma range
Expected rate of return of portfolio E(Rp)
same as weighted average of the returns of the equities
standard deviation of return of portfolio E(Rp)
NOT the same at the weighted average of std dev of the equities returns of the securities do not move equally
increase in diversification leads to? because?
to deceased risk because securities dont move equally
systematic risk vs unsystematic risk
systematic risk a risk that influences a large number of assets, we cannot eliminate it non-diversifiable risk / market risk e.g. interest rate increase, energy costs increase, core inflation increase unsystematic risk a risk that affect at most a small number of assets. unique risk / asset-specific risk
risk premium
assume risk free investment Rf offers 4% (e.g. government securities) the amount of risk you take is how much you deviate from Rf Risk premium = R(Rs) - Rf -> the additional risk, should be measured with systematic risk
market risk premium
To calculate the market risk premium that only contains systematic risk: How much more the market earns than risk free rate
Expected return of an individual risky security - Capital asset pricing model (CAPM)
Market risk premium is given information B is the risk level of the security B = 0 -> E(R) is as risky as Rf B = 1 -> E(R) is as risky as E(Rm) B > 1 -> E(R) is riskier than market
Reward risk ratio in the Capital asset pricing model (CAPM)
E(RA)−RFβA\frac{E(R_A)-R_F}{\beta_A}βAE(RA)−RF usually every portfolio is on the line and has the risk to reward ratio portfolio not on the line tend to move to the line e.g. Portfolio C is above the line, provides higher return at the same risk expected rate of return must drop price of C will increase
Payback period
the number of years for an investment the recover its initial cost
what project should we accept
independent projects: choose any project less than benchmark mutually exclusive: determine which one is better and select it
How to calculate payback period of long term investment
I see the present value of years and roughly how many years it takes I calculate how much is missing to get back the initial investment after x whole years I add x up with the ratio of missing cash / present value of x+1 Problem: doesn't take all cashflows into account
Take NPV of long term investment
Cash outflow of P0 - NPV of cash inflows Problem: doesnt indicate if it is high value or low value
Internal rate of return of long term investment
IRR is a discount rate that makes the net present value (NPV) of all cash flows equal to zero higher is usually better Problem: could conflict with NPV
cross over rate of long term investment
subtract all years from each other take irr