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. | |||||||||