BEC Formulae Flashcards
Marginal propensity to consume
Change in Spending/Change in income
Marginal propensity to save
Change in savings/change in income
or
1-marginal propensity to consume
Price elasticity of demand
% change in quantity demanded/% change in price
CPI calculation
CPI current-CPI last/ CPI Last*100
Returns to scale
Percentage Increase in output/Percentage increase in input
Accounting profit
Revenue -accounting cost
Economic cost
Explicit+Implicit cost
Working capital
Current assets-Current Liablities
Current ratio
CA/CL
Quick Ratio
Quick Tests/CL
Cash conversion cycle formulae
CCC=ICP+RDP-PDP
Where Inventory conversion period= 365/(cogs/Inventory)
RDP= 365/(Sales/Receivable)
PDP= 365/(COGS/Payable)
Operating Cycle: 365/Purchases X Average Inventories+ 365/Cr.Sales X Avg. Accounts Receivable
A/R turnover
Net credit sales/ Average AR
Inventory turnover ratio
COGS/Average Inventory
Number of days supply in average inventory
360/Inventory Turnover
Pay Back period
Net Initial Investment/After tax annual net cash inflow
IRR
Investment/Annual cash flows= When we divide initial investment/annual cash flows. we will get one percentage . Match it with the table given that is the IRR
$7,791 ×
PV at i for 10 periods
=
$50,000
6.418
Using the present value table, 6.418 is PV at 9% for 10 periods.
ARR
Accounting income/ Average investment
NPV
PV of net cash Inflows-PV of net cash outflows
Economic Ordering Quantity
Squre root of 2so/c where s= annual salesin units o= cost per purchase order c=carrying cost per unit
Short term debt
Discount %/100-discount% x 365 or 360/Total pay period-Discount period
Cost of loan
Interest paid/ Net funds available
Net cost of debt
Effective interest rate x (1-Tax rate)
Weighted average cost of capital
Investment structure(percentage of investments in total investments) X Cost of investment= WACC
CAPM
R+ B(m-r) C= cost of capital R=risk free rate B= Beta coefficient of Comparable publicly traded common stock, M= Market rate of return . B is referred to as particular change in stock compared to overall market change. Change in stock price /Change in market price
Discounted cash flow method
D/P + G =K Dividend next period/ Stock price + Growth
ROI
Net profit X Asset turnover
Net Income/Sales X sales/Investment
Sales got cancelled
ROI= NI/Investment
Asset turnover
Sales/Assets
Profit Margin/sales
NI/Sales or ROI/ Investment Turnover
What is the cost of funds from the sale of common stock
Annual dividend/ Sales price of common shares - floatation costs- underpricing
Residual income
Net income from the income statement-Required Return
Required return=NBV x Hurdle rate
First step= Average invested capital
=sales/capital turnover
Second Step= Operating income-(Imputed ratexaverage invested capital)
Return on assets
Income/Ave.Assets or income /sales or sales /avg.assets
ROI
Net Income/ Invested Capital
Net income/sales, sales/capital investment
Cost of fund from retained earnings
Dividend /stock price
Free cash flow`
Net operating profits after taxes+ Depreciation + Amortization -Capital expenditures-net increase in WC
Interest on investment
Invested capital x required rate of return
Economic value added
Net operating profit after taxes-cost of financing
NOPAT-(TA-CL) -WACC
Cost of financing
Total assets-current liabilities x WACC
Economic rate of return on C.S
Dividends+change in price/ Beginning price
ROI based on assets
Net Income/ Total assets or Average invested capital
Du point ROI analysis=Return on sales x asset turnover
Return on sales= Net Income/sales
Asset turnover= Sales/total assets
Market capitalization
Common Stock price per share x common stock O/S
Market Ratio
Common stock price per share/Book value per share
Market capitalization/ Common Stockholders Equity
Cost of funds from sale of C.S
Annual dividend/ Sale price of common share -flotation costs-underpricing
Return on common equity
;Net income available to common shareholders /Average equity
net income available to shareholders- value of preferred stock* 6% .
Average common equity is (opening equity- preferred stock+Retained earings+Accumulatd oter comprehensive income- closing equity-Preferred stock/2
Target Unit to earn a desired level of income
Fixed cost + target income/ unit contribution margin
Breakeven point in units
Fixed cost/ contribution margin
Price elasticity of demand
% change in quantity demanded/% change in price
Cost of common equity
Expected next dividend/Current stock price + Expected growth rate
CVP analysis Target unit volume
F.C+ Target operating income/UCM
Re-order Point
Safty stock+ Lead time X sales during lead time
The number of days of receivable
365/Account receivable turnover
Contribution Margin ratio
Revenue-Variable Costs/Revenue
Break even in Dollars
Fixed costs/ Contribution Margin Ratio
Times Interest earned
Sales-Cost of goods sold-administrative expense-depreciation expense /interest expense
Timesinterestearned=(Netincomebeforetax+ interest expense)/Interestexpense
Compensating balance formula
Effective rate= Interest rate/Usable funds
Target Unit Volume(Sales revenue required)
Fixed Costs+Target Net Income/(1.00- Tax rate)/UCM Where UCM stands for Unit Contribution Margin(Sales-Variable cost per unit)
Co-efficient of variation
Standard deviation/Expected return
Sales
Margin of safety+Break even point
Degree of operating leverage
Change in EBIT/Change in Sales
% change in operating income/Percentage change in Unit volume
Degree of financial leverage
% change in EPS/ % change in EBIT
EBIT/EBIT-INTEREST
Excess Present value index
present value of future net cash inflows/Initial investment X 100
The amount of cash
Equity+ Long term assets-Fixed assets-Net working capital
Cost of preferred stock
/Cash dividend on Preferred stock/ Proceeds of preferred stock net of fees and costs
D/P(1-F) + G
Economic value added
Net operating profit after taxes-required return where required return is =Investment XWACC
Average collection period
365/ Accounts receivable turnover
Real GDP
Normal GDP/GDP Deflator X 100
COGM
BWIP+All the costs incurred during the period-Ending WIP
Costs of preferred share capital
% of preferred stock/ preferred stock-cost of capital
Applied factory Overhead
(Variable OH+ Fixed OH)Standard DLH allowed for production
Effective rate
Interest expense/usable funds
Degree of comn=bined leverage
%change in EPS/% change in sales
Effective Average interest rate
Effective annual interest payment/Debt cash available
Cost of retained earnings
First we have to compute dividend per share expected at eh end of the year
D/P+G = where D is annual stock dividend
This gives D1.
D1/P +G
D(as computed in first step)
P is common price pershare +G is the growth rate
Cost of bond yield using the bond yield plus risk premium method
Firms own bond yield+ Market risk premium
Debt to total capital ratio
Total Debt /Total capital(Debt +equity)
Safety stock
First calculate daily usage
maximum lead time-usual lead time x daily usage
Profitability index
Present value of net future cash inflow/present value of initial investment
GDP deflator-Real GDP
Nominal GDP/GDP deflator X 100
Current year real GDP/past year real GDP -1
Multiplier effect
1/1-mpc X change in spending
Net National product
GDP- Depreciation
Unemployment rate
Number of unemployed/total labor
price elasticity on demand on total units
selling price per unit X quantity sold
Cross elasticity of demand
% Change in number of units X demanded(Supplied)/ % change in price of Y
Income Elasticity of demand
% change in number of units X demanded/ % change in income
Marginal product is
Change in Total product/ change in level
Average output is
Total product/ output
Increase to scale
% increase in output/% increase in output
growth rate
Return on equityX1-payout rate
Discounted cash flow method
Current dividend (1+G)/ current stock price +G)
Bond yield risk premium
pretax cost of long term debt+ Market risk premium
Payout rate
Dividends per share/earnings per share
or
common stock dividends declared/income available to common stockholders
Operating margin ratio
operating income/net sales
Operating Income= sales-cost of goods sold-selling and general administrative expenses
Growth rate
1-payout rate(Retention ratio) X return on equity
Margin of safety in percentage
margin of safety in dollars/total sales
Operating cash flow ratio
cash flow from operations/current liablities