Uploaded by Rhodri Bjerke

FINM3005 Formulas

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Income Statement
β–  NOPLAT = (𝐸𝐡𝐼𝑇 − π‘›π‘œπ‘› π‘œπ‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘›π‘” π‘π‘Ÿπ‘œπ‘“π‘–π‘‘) × (1 − 𝑑𝑐)
Non-operating profit, often being dividends received, also has been gain on disposal of
equipment.
Net operating profit less adjusted taxes refers to after-tax EBIT adjusted for deferred
taxes. NOPLAT excludes:
- Any payments to providers of capital, i.e. dividend or interest payments.
- Tax shield of debt (included in WACC calculation)
- Income or expenses associated with non-operating items.
𝑁𝑂𝑃𝐿𝐴𝑇 π‘šπ‘Žπ‘Ÿπ‘”π‘–π‘› = 𝑁𝑂𝑃𝐿𝐴𝑇/π‘ π‘Žπ‘™π‘’π‘ 
β–  Change in WC = (𝐼, 𝐷&𝑂)𝑑 − (𝐼, 𝐷&𝑂)𝑑−1 − π‘π‘Ÿπ‘’π‘‘π‘–π‘‘π‘œπ‘Ÿπ‘ π‘‘ + π‘π‘Ÿπ‘’π‘‘π‘–π‘‘π‘œπ‘Ÿπ‘ π‘‘−1
Where 𝐼, 𝐷&𝑂 is πΌπ‘›π‘£π‘’π‘›π‘‘π‘œπ‘Ÿπ‘–π‘’π‘ , π‘‘π‘’π‘π‘‘π‘œπ‘Ÿπ‘  π‘Žπ‘›π‘‘ π‘œπ‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘›π‘” π‘π‘Žπ‘ β„Ž
The swap the signs which doesn’t really make sense. This formula is essentially current
operating assets - current operating assets last period - creditors + creditors last period
β–  Capex = 𝑃𝑃𝐸𝑑 − 𝑃𝑃𝐸𝑑−1 − (π‘‘π‘’π‘π‘Ÿπ‘’π‘π‘–π‘Žπ‘‘π‘–π‘œπ‘›)
Depreciation becomes a double negative so the value is positive
β–  FCF = 𝑁𝑂𝑃𝐿𝐴𝑇 + π‘‘π‘’π‘π‘Ÿπ‘’π‘π‘–π‘Žπ‘‘π‘–π‘œπ‘› + (π‘π‘Žπ‘π‘’π‘₯) − βˆ†π‘ŠπΆ
= 𝑁𝑂𝑃𝐿𝐴𝑇 − 𝑃𝑃𝐸 + 𝑃𝑃𝐸𝑑−1 − βˆ†π‘ŠπΆ
= 𝑁𝑂𝑃𝐿𝐴𝑇 − βˆ†π‘–π‘›π‘£π‘’π‘ π‘‘π‘’π‘‘ π‘π‘Žπ‘π‘–π‘‘π‘Žπ‘™ + π‘›π‘œπ‘›π‘π‘Žπ‘ β„Ž π‘–π‘‘π‘’π‘šπ‘ 
β–  Working Capital = πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘ π‘œπ‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘›π‘” π‘Žπ‘ π‘ π‘’π‘‘π‘  − πΆπ‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘ π‘™π‘–π‘Žπ‘π‘–π‘™π‘–π‘‘π‘–π‘’π‘ 
Does not include short term debt in current liabilities or cash/marketable securities in
current assets.
WC = operating cash + acc receivable + inventories - acc payable - accrued expenses
β–  Cost of equity = π‘Ÿπ‘“ + π‘π‘’π‘‘π‘Ž × πΈπ‘…π‘ƒ
β–  WACC = (π‘Ÿπ‘“ + π‘π‘’π‘‘π‘Ž × πΈπ‘…π‘ƒ) × %𝑀𝑉 π‘œπ‘“ π‘’π‘žπ‘’π‘–π‘‘π‘¦
+ π‘šπ‘Žπ‘Ÿπ‘”π‘–π‘›π‘Žπ‘™ π‘π‘œπ‘Ÿπ‘Ÿπ‘œπ‘€π‘–π‘›π‘” π‘π‘œπ‘ π‘‘ × (1 − 𝑑𝑐) × %𝑀𝑉 π‘œπ‘“ 𝑑𝑒𝑏𝑑
𝐸
𝐷
= 𝐷+𝐸 × π‘Ÿπ‘’ + 𝐷+𝐸 × π‘Ÿπ‘‘ × (1 − 𝑑𝑐)
Where equity is equal to the market cap.
𝑔
β–  CV = (𝑁𝑂𝑃𝐿𝐴𝑇 × (1 + 𝑔)(1 − 𝑅𝑂𝑁𝐼𝐢 ))/(π‘Šπ΄πΆπΆ − 𝑔)
1
1
2
1
β–  Enterprise DCF = 𝐹𝐢𝐹𝑑+1 × 1+π‘Šπ΄πΆπΆ + 𝐹𝐢𝐹𝑑+2 × ( 1+π‘Šπ΄πΆπΆ ) + 𝐢𝑉( 1+π‘Šπ΄πΆπΆ )
2
β–  Value of equity = π‘’π‘›π‘‘π‘’π‘Ÿπ‘π‘Ÿπ‘–π‘ π‘’ 𝑑𝑐𝑓 + π‘œπ‘‘β„Žπ‘’π‘Ÿ π‘Žπ‘ π‘ π‘’π‘‘π‘  − 𝑑𝑒𝑏𝑑
Where other assets is generally other investments
β–  Difference to current share price = π‘‰π‘Žπ‘™π‘’π‘’ π‘œπ‘“ π‘’π‘žπ‘’π‘–π‘‘π‘¦/π‘π‘’π‘Ÿπ‘Ÿπ‘’π‘›π‘‘ π‘ β„Žπ‘Žπ‘Ÿπ‘’ π‘π‘Ÿπ‘–π‘π‘’ − 1
β–  Operating invested capital = 𝑑𝑒𝑏𝑑 + π‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘Ÿπ‘¦ π‘’π‘žπ‘’π‘–π‘‘π‘¦ − π‘œπ‘‘β„Žπ‘’π‘Ÿ π‘Žπ‘ π‘ π‘’π‘‘π‘ 
Where other assets is again generally under other investments
Also = WC + PPE
β–  Capital Turnover = π‘ π‘Žπ‘™π‘’π‘ π‘‘ / 𝑖𝑛𝑣𝑒𝑠𝑑𝑒𝑑 π‘π‘Žπ‘π‘–π‘‘π‘Žπ‘™π‘‘−1
β–  ROIC from operations = 𝑁𝑂𝑃𝐿𝐴𝑇𝑑 / π‘‚π‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘›π‘” 𝑖𝑛𝑣𝑒𝑠𝑑𝑒𝑑 π‘π‘Žπ‘π‘–π‘‘π‘Žπ‘™π‘‘−1
β–  Normalised earnings
= (π‘π‘Ÿπ‘’π‘‘π‘Žπ‘₯ π‘π‘Ÿπ‘œπ‘“π‘–π‘‘ + π‘’π‘›π‘’π‘ π‘’π‘Žπ‘™ π‘π‘œπ‘ π‘‘π‘  − π‘’π‘›π‘’π‘ π‘’π‘Žπ‘™ π‘π‘Ÿπ‘œπ‘“π‘–π‘‘π‘ )(1 − 𝑑𝑐) + π‘šπ‘–π‘›π‘œπ‘Ÿπ‘–π‘‘π‘¦ π‘–π‘›π‘‘π‘’π‘Ÿπ‘’π‘ π‘‘
Unusual costs include impairment charges and redundancy costs.
Unusual profits include gain on disposal of an asset.
β–  Diluted normalised EPS
= (π‘›π‘œπ‘Ÿπ‘šπ‘Žπ‘™π‘–π‘ π‘’π‘‘ π‘’π‘Žπ‘Ÿπ‘›π‘–π‘›π‘”π‘  + π‘’π‘Žπ‘Ÿπ‘›π‘–π‘›π‘”π‘  π‘œπ‘› π‘œπ‘ 𝑒π‘₯π‘’π‘Ÿπ‘π‘–π‘ π‘’)/(π‘›π‘œ. π‘œπ‘“ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘  + 𝑒π‘₯𝑒𝑐𝑒𝑑𝑖𝑣𝑒 π‘œπ‘π‘‘π‘–π‘œπ‘›π‘ )
β–  Earnings on option exercise
= π‘›π‘œ. π‘œπ‘“ 𝑒π‘₯𝑒𝑐 π‘œπ‘π‘‘π‘–π‘œπ‘›π‘  × π‘ π‘‘π‘Ÿπ‘–π‘˜π‘’ × π‘π‘œπ‘Ÿπ‘Ÿπ‘œπ‘€π‘–π‘›π‘” π‘π‘œπ‘ π‘‘ × (1 − 𝑑𝑐)
β–  PE = π‘ β„Žπ‘Žπ‘Ÿπ‘’ π‘π‘Ÿπ‘–π‘π‘’ / 𝑑𝑖𝑙𝑒𝑑𝑒𝑑 π‘Žπ‘›π‘‘ π‘›π‘œπ‘Ÿπ‘šπ‘Žπ‘™π‘–π‘ π‘’π‘‘ 𝐸𝑃𝑆
β–  Market cap = π‘ β„Žπ‘Žπ‘Ÿπ‘’ π‘π‘Ÿπ‘–π‘π‘’ × π‘›π‘œ. π‘œπ‘“ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘ 
β–  Price/Book/share = π‘ β„Žπ‘Žπ‘Ÿπ‘’ π‘π‘Ÿπ‘–π‘π‘’ / π‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘Ÿπ‘¦ π‘’π‘žπ‘’π‘–π‘‘π‘¦ / π‘›π‘œ. π‘œπ‘“ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘ 
= π‘€π‘Žπ‘Ÿπ‘˜π‘’π‘‘ π‘π‘Žπ‘ / π‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘Ÿπ‘¦ π‘’π‘žπ‘’π‘–π‘‘π‘¦
β–  Dividend Yield = π‘‚π‘Ÿπ‘‘π‘–π‘›π‘Žπ‘Ÿπ‘¦ 𝑑𝑖𝑣𝑖𝑑𝑒𝑛𝑑𝑠/π‘šπ‘Žπ‘Ÿπ‘˜π‘’π‘‘ π‘π‘Žπ‘
β–  Adjusted EBITDA
= 𝐸𝐡𝐼𝑇 + π‘‘π‘’π‘π‘Ÿπ‘’π‘π‘–π‘Žπ‘‘π‘–π‘œπ‘› + π‘”π‘œπ‘œπ‘‘π‘€π‘–π‘™π‘™ π‘β„Žπ‘Žπ‘Ÿπ‘”π‘’ − 𝑑𝑖𝑣𝑖𝑑𝑒𝑛𝑑𝑠 π‘Ÿπ‘’π‘π‘’π‘–π‘£π‘’π‘‘
β–  EBITDA from ops = π‘†π‘Žπ‘™π‘’π‘  − 𝐢𝑂𝐺𝑆 − 𝑆, 𝐺&𝐴 𝑒π‘₯𝑝𝑒𝑛𝑠𝑒𝑠
β–  EV = 𝑀𝑉 π‘œπ‘“ π‘’π‘žπ‘’π‘–π‘‘π‘¦ + π‘šπ‘–π‘›π‘œπ‘Ÿπ‘–π‘‘π‘¦ π‘–π‘›π‘‘π‘’π‘Ÿπ‘’π‘ π‘‘ + 𝑀𝑉 π‘œπ‘“ 𝑒π‘₯𝑒𝑐𝑒𝑑𝑖𝑣𝑒 π‘œπ‘π‘‘π‘–π‘œπ‘›π‘  + 𝑑𝑒𝑏𝑑
β–  EV of ops
= 𝑀𝑉 π‘œπ‘“ π‘’π‘žπ‘’π‘–π‘‘π‘¦ + 𝑀𝑉 π‘œπ‘“ 𝑒π‘₯𝑒𝑐𝑒𝑑𝑖𝑣𝑒 π‘œπ‘π‘‘π‘–π‘œπ‘›π‘  + 𝑑𝑒𝑏𝑑 − π‘›π‘œπ‘› π‘œπ‘π‘’π‘Ÿπ‘Žπ‘‘π‘–π‘›π‘” π‘Žπ‘ π‘ π‘’π‘‘π‘ 
Could also include minority interest, need to check that
β–  Adjusted EV = 𝐸𝑉 − πΌπ‘›π‘£π‘’π‘ π‘‘π‘šπ‘’π‘›π‘‘π‘ 
β–  EV multiple = π‘Žπ‘‘π‘—π‘’π‘ π‘‘π‘’π‘‘ 𝐸𝑉/π‘Žπ‘‘π‘—π‘’π‘ π‘‘π‘’π‘‘ 𝐸𝐡𝐼𝑇𝐷𝐴
β–  EV = 𝐸𝑉𝑀 × π‘Žπ‘‘π‘—π‘’π‘ π‘‘π‘’π‘‘ 𝐸𝐡𝐼𝑇𝐷𝐴 + π‘’π‘žπ‘’π‘–π‘‘π‘¦ π‘–π‘›π‘£π‘’π‘ π‘‘π‘šπ‘’π‘›π‘‘π‘ 
β–  Value of equity = 𝐸𝑉 − π‘šπ‘–π‘›π‘œπ‘Ÿπ‘–π‘‘π‘¦ π‘–π‘›π‘‘π‘’π‘Ÿπ‘’π‘ π‘‘ − 𝑒π‘₯𝑒𝑐 π‘œπ‘π‘‘π‘–π‘œπ‘›π‘  − 𝑑𝑒𝑏𝑑
β–  Value per share = π‘£π‘Žπ‘™π‘’π‘’ π‘œπ‘“ π‘’π‘žπ‘’π‘–π‘‘π‘¦/π‘›π‘œ. π‘œπ‘“ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘ 
β–  Equity to debt ratio = π‘šπ‘Žπ‘Ÿπ‘˜π‘’π‘‘ π‘π‘Žπ‘/𝑑𝑒𝑏𝑑
β–  .
β–  Weighted average no. of diluted shares
= π‘œπ‘Ÿπ‘‘π‘–π‘›π‘Žπ‘Ÿπ‘¦ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘  + π‘€π‘’π‘–π‘”β„Žπ‘‘π‘’π‘‘ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘  𝑖𝑠𝑠𝑒𝑒𝑑 − π‘€π‘’π‘–π‘”β„Žπ‘‘π‘’π‘‘ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘  π‘π‘’π‘¦π‘π‘Žπ‘π‘˜
+ π‘Žπ‘‘π‘‘π‘–π‘‘π‘–π‘œπ‘›π‘Žπ‘™ π‘ β„Žπ‘Žπ‘Ÿπ‘’π‘  π‘’π‘›π‘‘π‘’π‘Ÿ π‘œπ‘π‘‘π‘–π‘œπ‘› 𝑒π‘₯π‘’π‘Ÿπ‘π‘–π‘ π‘’
β–  Operating margin = 𝐸𝐡𝐼𝑇/π‘Ÿπ‘’π‘£π‘’π‘›π‘’π‘’
β–  Economic profit = (𝑅𝑂𝐼𝐢 − π‘Šπ΄πΆπΆ) * π‘Žπ‘£π‘” 𝑖𝑛𝑣𝑒𝑠𝑑𝑒𝑑 π‘π‘Žπ‘π‘–π‘‘π‘Žπ‘™
= 𝑁𝑂𝑃𝐿𝐴𝑇 − π‘π‘Žπ‘π‘–π‘‘π‘Žπ‘™ π‘β„Žπ‘Žπ‘Ÿπ‘”π‘’
Normalised, Diluted EPS
=Adjusted Normalised Earnings/Diluted Shares
=(Normalised Earnings + Earnings on option exercise)/Diluted Shares
=(Normalised Earnings + No. of Options*Option Exercise Price*(1-tax)*Cost of Debt)/Diluted
Shares
[Note: “weighted average” =time-weighted average, adjusted to remaining time]
Earnings on option exercise=no. of executive options*borrowing cost*(1-marginal tax rate)
Diluted Shares=Ordinary Shares + Additional Shares under Options Exercise -Shares
Buyback
Some Definitions
➒ Other Assets (value of Non-Operating Assets): Excess Cash, Marketable Securities,
Equity Investment Income, income from associates, NPV of tax losses, Assets Held
for Sale, Retirement Benefit Assets, interest on operating lease, Excess real estate,
unutilized assets, etc.
➒ Normalisation: Net Profit Attributable to Ordinary Shareholders, Net loss on
disposal of PPE, profit/loss on sale of asset, unusual income, pension fund
revaluations, write-offs, redundancy costs; No-cash items (goodwill
amortisation/impairment charges); Treatment of R&D; Abnormal tax rate;
Economic cycle; Investments, lazy assets, new projects in startup period.
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