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User:Tomchiukc/企業財務 - Wikipedia

User:Tomchiukc/企業財務

维基百科，自由的百科全书

< User:Tomchiukc

[编辑] MNGT4621 Corporate Finance, Final Examination, September 2001

[编辑] 常用公式

Description	Formula
Future value of $P invested today for n periods at a periodic interest rate of r%	$F n = P (1 + r) n$
Present value of a $F cashflow received in n periods time if periodic interest rate is r%	$P = \frac {F_n} {(1 + r)^n}$
Future value of an $R annuity lasting n periods at periodic interest rate r%	$F_n = R \begin{bmatrix} \frac {(1+r)^n - 1} {r} \end{bmatrix}$
Present value of an $R annuity lasting n periods at periodic interest rate r%	$P = R \begin{bmatrix} \frac {1-(1+r)^{-n} } {r} \end{bmatrix}$
Present value of a perpetual cashflow of $R per period at periodic interest rate of r%	$P = \frac {R} {r}$
Present value of a perpetual cashflow growing at g% when interest rate is r% per period. The first payment is $d_i and occurs in one period's time.	$P = \frac {d_1} {r - g}$

$\beta_j = \frac {\mbox{cov}(r_j,r_M)}{\mbox{var}(r_M)} = \frac {\sigma_{j, M}} {\sigma_M^2}$

$CAPM : E(r_j) = r_f + \beta_j \lfloor E(r_M)-r_f \rfloor$

$\mbox{var}(r_p) = \sigma_p^2 = \omega_1^2 \sigma_1^2 + \omega_2^2 \sigma_2^2 + 2\omega_1\omega_2 \rho_{1,2}\sigma_1\sigma_2$

$\rho_{1,2} = \frac {\mbox{cov}(r_1,r_2)} {\sigma_1\sigma_2} = \frac {\sigma_{1,2}} {\sigma_1\sigma_2}$

$r_*^L = r_e^L \left( \frac {E^L} {V^L} \right) + r_d (1 - \tau) \left( \frac {D^L} {V^L} \right)$

$r_e^L = r_*^U + ( r_*^U - r_d) (1 - \tau) \left( \frac {D^L} {E^L} \right)$

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