In: Finance
The following are formulas that are generally used for any corporate finance course. | |||||||||
Present Value = Future value/ ((1+r)^t) | |||||||||
where r is the interest rate and t is the time period | |||||||||
Future Value = Present Value*((1+r)^t) | |||||||||
where r is the interest rate and t is the time period | |||||||||
Future Value = C*[(1+(r/m))^mt] | |||||||||
where C is the present value | |||||||||
r is the interest rate | |||||||||
t is the year | |||||||||
m is the compounding period | |||||||||
Present Value = Future value/[(1+(r/m))^mt] | |||||||||
r is the interest rate | |||||||||
t is the year | |||||||||
m is the compounding period | |||||||||
Present value of a perpetuity = C/r | |||||||||
Present value of an annuity = C[(1-(1/(1+r)^t))/r] | |||||||||
where C is the annuity payment | |||||||||
r is the interest rate | |||||||||
t is the year | |||||||||
Future value of an annuity = C[((1+r)^t-1)/r] | |||||||||
where C is the annuity payment | |||||||||
r is the interest rate | |||||||||
t is the year | |||||||||
expected return on a portfolio = XaRa + XbRb | |||||||||
where Xa and Xb are the proportions of the total portfolio in assets A&B | |||||||||
Ra and Rb are the expected returns on the two securities | |||||||||
Variance of portfolio | |||||||||
Xa^2(STDRa)^2 + Xb^2(STDRb)^2 + 2XaXbCORR(Ra,Rb)STD RaSTDRb | |||||||||
where Xa and Xb are the proportions of the total portfolio in assets A&B | |||||||||
STDRa = standard deviation of return on security A. | |||||||||
STDRb = standard deviation of return on security B. | |||||||||
CORR(Ra,Rb) = Correlation between the returns of security A and security B. | |||||||||
Beta of security I = Cov (Ri,Rm)/Var(Rm) | |||||||||
where Ri is the return on the security I. | |||||||||
Rm is the return on the market. | |||||||||
Cov (Ri,Rm) = Covariance between Ri and Rm. | |||||||||
Var(Rm) = Variance for Rm. | |||||||||
Weighted average cost of capital = [(S/S+B)*Rs + (B/S+B)*Rb(1-tc)] | |||||||||
S = equity, B = debt, Rs = Cost of equity, Rb = cost of debt, | |||||||||
tc = corporations tax rate | |||||||||
Under the Capital Asset pricing model | |||||||||
Rs = Rf + Beta*(Rm-Rf) | |||||||||
Rs is the expected return on the security | |||||||||
where Rf is the risk free rate, Rm - Rf = difference between the expected return on the market | |||||||||
portfolio and the riskfree rate. |