! Formulae

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Profitability ratios.
4
öğrenmeye başla
GPM. | OPM. | ROCE. | ROE.
Efficiency ratios:
4
öğrenmeye başla
NAT | RD | ID | PD.
Liquidity and gearing ratios:
4
öğrenmeye başla
CR. and QR. | FG. and OG.
Financial Gearing. and Operational gearing.
Investor's ratios:
4
öğrenmeye başla
IC. | DC. | DY | PER
Interest cover. | Dividend cover. | Dividend yield. | Price/EPS ratio
NAT
öğrenmeye başla
Revenue ÷ (Equity+Debt)
=times p.a.
Nat-red
ID
öğrenmeye başla
Inventory ÷ COS
× 365 days
COS = Purchases + start inventory - close inventory.
PD
öğrenmeye başla
Average Payables ÷ Credit purchases
× 365 days
CR
öğrenmeye başla
Current Assets ÷ Current Liabilities
QR
öğrenmeye başla
(Current Assets less Inventory) ÷ Current Liabilities
FG
2
öğrenmeye başla
Debt ÷ Equity
Debt ÷ (Debt + Equity)
OG
2
Operational gearing
öğrenmeye başla
Fixed costs ÷ variable costs. | Contribution ÷ PBIT.
Contribution = Revenue less variable costs.
IC
öğrenmeye başla
PBIT ÷ FC
DC
öğrenmeye başla
PAT ÷ Total dividends
DY
öğrenmeye başla
DPS ÷ CSP
PER
öğrenmeye başla
CSP ÷ EPS
ROCE
öğrenmeye başla
PBIT ÷ (Average Debt + Average Equity less Current liabilities)
Capital employed = Total assets - Current liabilities
OPM
also: NPM (for ratio analysis)
öğrenmeye başla
PBIT ÷ Revenue
If operating profit is not given, use the profit figure closest to it.
GPM
öğrenmeye başla
Gross profit ÷ Revenue
ROE
öğrenmeye başla
PAT ÷ Equity
roe-pate
Receivable days
öğrenmeye başla
average receivables ÷ Credit sales
× 365 days
Asset turnover
öğrenmeye başla
Revenue ÷ Average assets
Equity ratio
öğrenmeye başla
Average assets ÷ Equity
DuPont Identity (ROE)
öğrenmeye başla
NPM × asset turnover × equity ratio
ROE = NPM × AT × ER
EbITDA(G)
öğrenmeye başla
Earnings before interest, taxes, depreciation, amortization (inc. goodwill written off)
NPM
öğrenmeye başla
PAT ÷ R
⋅ 100
Groups of ratios - financial analysis.
öğrenmeye başla
Profitability | Liquidity | Efficiency | Gearing | Investor + Conclusion
PLEGI
Financial statements ratios groups:
3
öğrenmeye başla
Profitability | Liquidity | Capital structure (e.g. gearing)
PLC
The most useful ones are gearing and EPS.
In accordance with IAS 33, listed companies must disclose two types of EPS:
2
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basic EPS | diluted EPS
Basic EPS
öğrenmeye başla
Earnings attributable to ordinary shareholders ÷ Weighted average number of ordinary shares.
Diluted EPS concept:
öğrenmeye başla
At the year-end, an entity may have commitment to issue more ordinary shares.
Such commitments include convertible loans or share options.
Calculation of diluted EPS may include:
2
öğrenmeye başla
convertible loans | share options
The SBR exam is more likely to focus on the impact of errors on EPS rather than on the calculation of EPS.
Free CF definition
öğrenmeye başla
CFs from operating activities less capital expenditure.
Additional Performance Measures examples:
2 | APMs
öğrenmeye başla
Ebitda | Free CF
Equity section components (for gearing calculation):
4 (basic ones)
öğrenmeye başla
SC | RE | OCE | NCI
*share capital, retained earnings, other components of equity, non-controlling interest
Real discount rate
öğrenmeye başla
[(1 + money cost of capital) ÷ (1 + inflation rate)] - 1
Money cost of capital is 15.44% and inflation is 4%. | [(1 + 0.1544) ÷ (1 + 0.04)] - 1 = 0.11 (11%)
WIP/Finished goods/Raw materials Period:
öğrenmeye başla
Average value of WIP/FG/RM ÷ COS
× 365
ROI
Divisional performance measure:
öğrenmeye başla
Controllable operating profit ÷ Controllable capital employed [total assets less current liabilities].
COP ÷ CCE [TA-CL)
Decision: accept project if ROI > cost of capital.
Residual income (RI)
öğrenmeye başla
Controllable operating profit less Imputed interest
COP - II (TA × COC)
Imputed interest = controllable capital employed × cost of capital | Decision: accept the project, if the RI is positive.
EVA
*Economic Value Added
öğrenmeye başla
NOPAT less (ACE × WACC))
NOPAD - (Adjusted capital employed× WACC)
A similar but superior measure to RI. | Decision: accept the project if the EVA is positive.
WACC
öğrenmeye başla
(% of equity × cost of equity) + (% of debt × post-tax cost of debt)
(%E × kE) + (%D × p.t. kD)
Capital employed
öğrenmeye başla
Average Debt + Average Equity less Current liabilities
Average Debt + Average Equity - Current liabilities
working capital
öğrenmeye başla
current assets + current liabilities
Project decision based on ROI.
öğrenmeye başla
If ROI is higher than COC.
*cost of capital
Hedge ratio
öğrenmeye başla
hedge value ÷ total position value
PoL on disposal
sale and leaseback
öğrenmeye başla
AP × ((FV less PV ALPs) ÷ FV)
Apparent profit × ((FV less PV of the annual lease payments)) ÷ Sales price)
1.5 × ((5 - 1.8) ÷ 5) = 0.96 | When the sales proceeds are less than the asset’s FV are treated as a PREPAYMENTS. When the sales proceeds exceed the asset’s FV are treated as ADDITIONAL FINANCING - subtract/add the difference also from PV ALPS.

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