Financial Resources Formulary: Unterschied zwischen den Versionen

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== Dynamic investment indicators ==
== Present values, perpetuities and annuities ==


'''Present value PV:''' value of a future payment C<sub>t</sub> (in year t), discounted to year 0: [[Datei:Form_FV.png]]
'''Present value PV:''' value of a future payment C<sub>t</sub> (in year t), discounted to year 0: [[Datei:Form_FV.png]]
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'''Annual percentage rate (APR) or simple rate:''' annualized rate of shorter period interest rates (monthly, daily rates) using simple interest.
'''Annual percentage rate (APR) or simple rate:''' annualized rate of shorter period interest rates (monthly, daily rates) using simple interest.


:- APR for a monthly rate m: APR = 12 m
:- APR for a monthly rate m: APR = 12 * m
   
   
Given an annual percentage rate (APR) of r, the corresponding EAR with respect to n shorter periods of equal length is:
Given an annual percentage rate (APR) of r, the corresponding EAR with respect to n shorter periods of equal length is: [[Datei:Form_EAR.png]]
'''Effective annual rate with continuous compounding:''' effective annual rate for n → &#8734; shorter periods
'''Effective annual rate with continuous compounding:''' effective annual rate for n → &#8734; shorter periods: [[Datei:Form_EAR_cc.png]] (being r the simple annual rate)
(being r the simple annual rate)


'''Real rate of return:''' rate of return adjusted for inflation
'''Real rate of return:''' rate of return adjusted for inflation: [[Datei:Form_Real_Int_1.png]]
→  with i = inflation rate
[[Datei:Form_Real_Int_2.png]] (being i the inflation rate)




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== Valuing bonds ==
== Valuing bonds ==


'''Price of a bond:'''
'''Price of a bond:''' [[Datei:Form_PV_Bond.png]]




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: N maturity<br/>
: N maturity<br/>


'''Duration of a bond with maturity N:''' weighted average period of bond payments.  
'''Duration of a bond with maturity N:''' weighted average period of bond payments: [[Datei:Form_Duration.png]]


'''Modified duration:''' a measure of volatility (elasticity) of bond prices:
'''Modified duration:''' a measure of volatility (elasticity) of bond prices: [[Datei:Form_Mod_Duration.png]]
   
   


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== Valuing stocks ==
== Valuing stocks ==


'''(Expected) [[Wertpapierrendite|Stock return r]] (equity cost of capital):'''
'''(Expected) [[Wertpapierrendite|Stock return r]] (equity cost of capital):''' [[Datei:Form_Stock_Return.png]]
'''Stock price P<sub>0</sub> in the single-period case:'''
'''Stock price P<sub>0</sub> in the single-period case:''' [[Datei:Form_P0_einperiodig.png]]
'''Dividend discount model''' for the stock price P0 in the multi-period case until time horizon H:
'''Dividend discount model''' for the stock price P0 in the multi-period case until time horizon H: [[Datei:Form_P0_mehrperiodig.png]]
'''Stock price P<sub>0</sub>''' with specific dividends until time horizon H and growing dividends after H:
'''Stock price P<sub>0</sub>''' with specific dividends until time horizon H and growing dividends after H: [[Datei:Form_P0_growth.png]]


'''Stock price for a perpetual stream of dividends:'''
'''Stock price for a perpetual stream of dividends:''' [[Datei:Form_P0_perpetual.png]]
'''Stock price for a perpetual stream of growing dividends:'''
'''Stock price for a perpetual stream of growing dividends:''' [[Datei:Form_P0_perp_growth.png]]
'''Return (Equity cost of capital) of a perpetual stream of dividends with growth:'''
'''Return (Equity cost of capital) of a perpetual stream of dividends with growth:''' [[Datei:Form_RoE_growth.png]]
'''Return on Equity with market values:'''
'''Return on Equity with market values:''' [[Datei:Form_RoE.png]]
'''Payout ratio:''' fraction of earnings paid out as dividends:  
'''Payout ratio:''' fraction of earnings paid out as dividends: [[Datei:Form_Payout.png]]
'''Plowback ratio:''' fraction of earnings retained by the firm:
'''Plowback ratio:''' fraction of earnings retained by the firm: [[Datei:Form_Plowback.png]]
'''Present value of growth opportunities (PVGO):''' net present value of a firm's future investments
'''Present value of growth opportunities (PVGO):''' net present value of a firm's future investments.


'''Sustainable growth rate:''' rate at which a firm can steadily grow:
'''Sustainable growth rate:''' rate at which a firm can steadily grow: [[Datei:Form_Sustainable.png]]
'''Discounted cash flow (DCF):''' value of the free cash flows that are available to investors plus company value at the planning horizon, all discounted to present:
'''Discounted cash flow (DCF):''' value of the free cash flows that are available to investors plus company value at the planning horizon, all discounted to present: [[Datei:Form_DCF.png]]




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== Rates of return on capital and assets: ==
== Capital Structure and Return ==


'''[[Rentabilität|Rates of return]]:'''
'''[[Rentabilität|Rates of return]]:'''
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