! Formulae

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Profitability ratios.
4
kezdjen tanulni
GPM. | OPM. | ROCE. | ROE.
Efficiency ratios:
4
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NAT | RD | ID | PD.
Liquidity and gearing ratios:
4
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CR. and QR. | FG. and OG.
Financial Gearing. and Operational gearing.
Investor's ratios:
4
kezdjen tanulni
IC. | DC. | DY | PER
Interest cover. | Dividend cover. | Dividend yield. | Price/EPS ratio
NAT
kezdjen tanulni
Revenue ÷ (Equity+Debt)
=times p.a.
Nat-red
ID
kezdjen tanulni
Inventory ÷ COS
× 365 days
COS = Purchases + start inventory - close inventory.
PD
kezdjen tanulni
Average Payables ÷ Credit purchases
× 365 days
CR
kezdjen tanulni
Current Assets ÷ Current Liabilities
QR
kezdjen tanulni
(Current Assets less Inventory) ÷ Current Liabilities
FG
2
kezdjen tanulni
Debt ÷ Equity
Debt ÷ (Debt + Equity)
OG
2
Operational gearing
kezdjen tanulni
Fixed costs ÷ variable costs. | Contribution ÷ PBIT.
Contribution = Revenue less variable costs.
IC
kezdjen tanulni
PBIT ÷ FC
DC
kezdjen tanulni
PAT ÷ Total dividends
DY
kezdjen tanulni
DPS ÷ CSP
PER
kezdjen tanulni
CSP ÷ EPS
ROCE
kezdjen tanulni
PBIT ÷ (Average Debt + Average Equity less Current liabilities)
Capital employed = Total assets - Current liabilities
OPM
also: NPM (for ratio analysis)
kezdjen tanulni
PBIT ÷ Revenue
If operating profit is not given, use the profit figure closest to it.
GPM
kezdjen tanulni
Gross profit ÷ Revenue
ROE
kezdjen tanulni
PAT ÷ Equity
roe-pate
Receivable days
kezdjen tanulni
average receivables ÷ Credit sales
× 365 days
Asset turnover
kezdjen tanulni
Revenue ÷ Average assets
Equity ratio
kezdjen tanulni
Average assets ÷ Equity
DuPont Identity (ROE)
kezdjen tanulni
NPM × asset turnover × equity ratio
ROE = NPM × AT × ER
EbITDA(G)
kezdjen tanulni
Earnings before interest, taxes, depreciation, amortization (inc. goodwill written off)
NPM
kezdjen tanulni
PAT ÷ R
⋅ 100
Groups of ratios - financial analysis.
kezdjen tanulni
Profitability | Liquidity | Efficiency | Gearing | Investor + Conclusion
PLEGI
Financial statements ratios groups:
3
kezdjen tanulni
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
kezdjen tanulni
Earnings attributable to ordinary shareholders ÷ Weighted average number of ordinary shares.
Diluted EPS concept:
kezdjen tanulni
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
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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
kezdjen tanulni
CFs from operating activities less capital expenditure.
Additional Performance Measures examples:
2 | APMs
kezdjen tanulni
Ebitda | Free CF
Equity section components (for gearing calculation):
4 (basic ones)
kezdjen tanulni
SC | RE | OCE | NCI
*share capital, retained earnings, other components of equity, non-controlling interest
Real discount rate
kezdjen tanulni
[(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:
kezdjen tanulni
Average value of WIP/FG/RM ÷ COS
× 365
ROI
Divisional performance measure:
kezdjen tanulni
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)
kezdjen tanulni
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
kezdjen tanulni
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
kezdjen tanulni
(% of equity × cost of equity) + (% of debt × post-tax cost of debt)
(%E × kE) + (%D × p.t. kD)
Capital employed
kezdjen tanulni
Average Debt + Average Equity less Current liabilities
Average Debt + Average Equity - Current liabilities
working capital
kezdjen tanulni
current assets + current liabilities
Project decision based on ROI.
kezdjen tanulni
If ROI is higher than COC.
*cost of capital
Hedge ratio
kezdjen tanulni
hedge value ÷ total position value
PoL on disposal
sale and leaseback
kezdjen tanulni
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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