! Formulae

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