The collection of formulae of the economy is to give an overview of usual formulas from the range to the economy. The legends are either initially generally indicated or in special cases in appropriate place. Further information to the models and formulas is to be found and/or added in the appropriate major item to the topic.
Operating result/calculatory result = achievement - K
Operating result + calculatory interest = calculatory Kapitalgewinn
G = E - K
Undertaking ISD (before taxes) = yearly surplus (after tax) + Gsteuern = operational profit after HGB (before profits taxes) + Beriebsfremdes result/financial result + extraordinary result (extraordinary result: not from the usual business activity, unusually, e.g.: Stock exchange course)
Pagatori Kapitalgewinn = yearly surplus (pagatorischer profit) + Fremdkapitalzinsen (thus the surplus from own capital funds and outside capital to be obtained could)
Balance profit = yearly surplus/deficit profit/loss brought forward from previous account withdrawals attitudes in reserves
The numeric distribution indicates, for many offerers an article at the time X is driven out in relation for the total number of the offerers at the market.
Offerer with product X/sum of all offerers = numeric distribution degree in %
The numeric distribution gives information over the relative selling range.
The weighted distribution indicates in dependence for numeric distribution, how much these offerers in relation transact conversion to the gross income.
Conversion of the offerers with product X/gross income = weighted distribution in %
The weighted distribution permits conclusions on the relative quality of the marketing agents.
The numeric and weighted distribution is usually expressed in summary as numerically weighted distribution degree.
Example: 68/89
Article is driven out in 68% all business at the market; these business transacts 89% of the gross income at the market.
Then are the total costs (Kges): Kges = KE + KB + KL = [x * e] + [N * B] + [Q/2 * e * i] fat are the relevant (influenceable) costs
Optimization of the order quantity Q: Optimization condition: f'(x) = 0K'(Q) = Q^2 = (2*B*x)/(e*i) Q* = root out (2*B*x)/(e*i)
" Amount covered Ix stressed sales area productivity
Payments take place as a rule at the year end of one period t (t = 0," , T-1). Are defined
Special case: Simple interest charges:
The interest yields are not along-paid interest on.
Capital final value = K_T = K_0 + K_0 \ cdot T \ cdot (q-1)
The interest yields are along-paid interest on.
Kapitalendwert= K_T = K_0 \ cdot q^T with qT as compound growth factor.
Bar value of a capital or a present value = K_0 = \ frac {K_T} {q^T} with 1/qT as discounting factor.
Final value of a payment row = K_T = \ sum_ {t=0} ^ {T-1} x_t \ cdot q^ {T-t}.
Bar value of a payment row = K_0= \ sum_ {t=0} ^ {T-1} \ frac {x_t} {q^ {T-t}}.
An investment is profitable, if with a calculation interest rate i the bar value of this payment K_0 is \ ge 0.
Pension final value of a payment row of T pensions r: K_T = r \ \ frac {q^T-1 cdot} {i}
Pension bar value of a payment row of T pensions r: K_0 = r \ cdot \ frac {q^T-1} {q^T \ cdot i}
Pension final value of a payment row of T pensions r: K_T = r \ cdot q \ cdot \ frac {q^T-1} {i}
Pension bar value of a payment row of T pensions r: : K_0 = r \ cdot \ frac {q^T-1} {q^ {T-1} \ cdot i}
Pension bar value infinitely many pension payments r: K_0 = \ lim_ {n \ tons \ infty} r \ cdot \ frac {q^T-1} {q^ {T} \ cdot i} = \ frac {r} {i}
C_0 = - A+ \ sum_ {t=1} ^T R_t \ cdot \ left (1+i \ right) ^ {- t} +L \ cdot \ left (1+i \ right) ^ {- T}
C_0: Present value
A: Acquisition disbursement
T: Service life (in periods)
R_t: Return flow in period t
L: Liquidation proceeds
i: Calculation interest rate
C_0 = - A + R_T \ cdot \ frac {\ left (1+i \ right) ^T-1} {\ left (1+i \ right) ^T \ cdot i} + L \ cdot \ left (1+i \ right) ^ {- T}
The Gordon formula is a formula for the computation of the bar value of a share or an enterprise with rising dividends.
P0 = G1* (1-b)/k - b * RH
P0 = productive value, market price, exchange rate value of the share in t0
G1 = profit in T1 (expected profit)
b = accumulating capital ratio
1 - b = payment ratio
G1* (1 - b) = dividend in T1
k = productive value expected by the shareholder (refers to the market price of the share, not to balance own capital funds)
RH = net yield from the capital use of the retained profits b expected - G1
b * RH = growth rate for profits, dividend and customer
Profit:
G1 = G0* (1 + w) w = WachstumsrateG2 = G0 * (1 + w) ^2 etc.
Dividend:
D1 = G0* (1 + w) * (1 - b) D2 = G0* (1 + w) ^2 * (1 - b) etc.
The Black Scholes formulas for the value of European calls and PUTs on base values without dividend payments is
\ mathsf {c=S_0N (d_1) - Xe^ {- blank} N (d_2)} \ mathsf {p=Xe^ {- blank} N (- d_2) - S_0N (- d_1)} whereby \ mathsf {d_1= {\ LN (S0/X) + (r+ \ sigma^2/2) T \ more over \ sigma \ sqrt {T}}} \ mathsf {d_2=d_1 \ sigma \ sqrt {T}}
" " Not wear outable wear out-cash fixed assets (calculatory evaluated) = necessary for operation circulating capital necessary for operation (as average values) - departure capital (e.g. interest-free loan) = necessary for operation capital
Generally the following venture costs can be differentiated:
" " Sum of the occurred venture losses sum of the base quantities (E.G. initial costs) = Wagnissatzx actual, normal or venture costs
The cash-flow is the net supply at liquid means of an enterprise within one period of computation. To determine the cash-flow in particular computed over, like many liquid means the enterprise is available, for:
Indirect determination: writings-off (- writing up) + increase (- acceptance) of the long-term resetting
= cash-flow-direct determination: Deposit disbursements
= cash-flow
Costs of the advertising measure number of reached persons of the Zielgruppex 1000= thousand-contact price
Total number of the Probandenx 100= Recall rate again-reminded number of pro gangs, the one advertising statement
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