Formulae and Calculations in Finance
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Questions and Answers

What is the total amount of current assets reported in the financial statements?

  • $1.9m
  • $22.0m
  • $10.0m
  • $4.6m (correct)
  • What is the annual interest expense on the long-term bank loan?

  • $800,000 (correct)
  • $1,500,000
  • $1,200,000
  • $1,000,000
  • What is the total equity of APX Co according to the statement of financial position?

  • $5.0m
  • $12.5m (correct)
  • $10.0m
  • $7.5m
  • If APX Co maintains its current dividend payout ratio, how much will be paid in dividends next year if anticipated operating profit is $1,200,000?

    <p>$600,000</p> Signup and view all the answers

    How long is the inventory turnover period forecast for APX Co?

    <p>110 days</p> Signup and view all the answers

    What is the effective current ratio of APX Co, considering current assets and current liabilities?

    <p>1.5</p> Signup and view all the answers

    How many days does APX Co have for trade receivables collection in the next year?

    <p>65 days</p> Signup and view all the answers

    What will be the forecasted interest on the overdraft for the next year?

    <p>$140,000</p> Signup and view all the answers

    What is the annual financial effect if management reduces the collection period to 60 days by offering an early settlement discount of 1% that all customers adopt?

    <p>$85,479 benefit</p> Signup and view all the answers

    Which of the following services is NOT typically provided by a debt factor?

    <p>Invoices management</p> Signup and view all the answers

    Which method is LEAST likely to be utilized in managing foreign accounts receivable?

    <p>Commercial paper</p> Signup and view all the answers

    What is the total cost of L Co's factoring package, given a non-recourse cost of 1.5% of sales and an admin fee of $6,000 per annum, with sales of $1.5 million?

    <p>$39,000</p> Signup and view all the answers

    Which of the following is NOT a drawback associated with the Economic Order Quantity (EOQ) model?

    <p>Assumes uncertainty in demand</p> Signup and view all the answers

    Which of the following is NOT a potential hidden cost of increasing credit taken from suppliers?

    <p>Increased operational efficiency</p> Signup and view all the answers

    Which of the following would be LEAST likely to arise from the introduction of a just-in-time inventory ordering system?

    <p>Greater inventory discrepancies</p> Signup and view all the answers

    What financial impact results from a uniform 1% early settlement discount offered to all customers?

    <p>Net gain due to quicker cash flow</p> Signup and view all the answers

    What is the formula to calculate the Current Ratio?

    <p>Current assets : Current liabilities</p> Signup and view all the answers

    In the context of the Interest Coverage Ratio, how is it calculated?

    <p>PBIT / Interest</p> Signup and view all the answers

    What does the Profitability Index measure?

    <p>Net present value of cash flows divided by capital investment</p> Signup and view all the answers

    How is the weighted average cost of capital (WACC) calculated?

    <p>Value of equity / Total value * Cost of equity + Value of debt / Total value * Cost of debt</p> Signup and view all the answers

    What does the formula for Accounts Receivable Days measure?

    <p>Accounts receivable / Credit sales * 365 days</p> Signup and view all the answers

    What is the formula for calculating the Dividend Yield?

    <p>Dividend per share / Market price per share</p> Signup and view all the answers

    How do you calculate the Equivalent Annual Cost (EAC)?

    <p>Present Value of cash flows / Annuity factor for the number of years</p> Signup and view all the answers

    In the Capital Asset Pricing Model (CAPM), what does E(ri) represent?

    <p>Expected return on an investment</p> Signup and view all the answers

    Which formula correctly represents the calculation for Economic Order Quantity (EOQ)?

    <p>SQRT((2 * C0 * D) / Ch)</p> Signup and view all the answers

    What is the main purpose of the Miller-Orr Model?

    <p>To manage cash flows effectively</p> Signup and view all the answers

    How is the Cost of Equity calculated?

    <p>Ke = (D0 * (1 + g)) / P0</p> Signup and view all the answers

    Which of the following is NOT a liquidity ratio?

    <p>Debt ratio</p> Signup and view all the answers

    What does $g$ represent in Gordon's Growth Approximation?

    <p>Growth rate of dividends</p> Signup and view all the answers

    Study Notes

    Formulae and Calculations

    • Economic Order Quantity (EOQ): EOQ = √(2C0D / Ch), where C0 = ordering cost, D = demand, Ch = holding cost per unit per year. (Chapter 5)
    • Miller-Orr Model: Return point = Lower limit + (1/3 × spread). Spread = 3√(4 × transaction cost × variance of cash flows / interest rate). (Chapter 6)
    • Capital Asset Pricing Model (CAPM): E(ri) = Rf + βi(E(rm) – Rf), where E(ri) = expected return of asset i, Rf = risk-free rate, βi = beta of asset i, E(rm) = expected return of market portfolio. (Chapter 15)
    • Asset Beta Formula: βa = [(Ve/ (Ve + Vd(1-T))) × βe] + [(Vd(1-T)/ (Ve+ Vd(1-T))) × βd], where Ve = market value of equity, Vd = market value of debt, T = tax rate, βe = equity beta, βd = debt beta. (Chapter 16)
    • Growth Model: P0 = D0(1 + g) / (re - g), where P0 = current stock price, D0 = previous dividend, g = growth rate, re = required return on equity. (Chapter 17)
    • Gordon's Growth Approximation: g = b × re, where g = growth rate, b = retention ratio, re = required return on equity. (Chapter 17)
    • Weighted Average Cost of Capital (WACC): WACC = [(Ve / (Ve + Vd)) × ke] + [(Vd / (Ve + Vd)) × kd(1-T)], where Ve = market value of equity, Vd = market value of debt, ke = cost of equity, kd = cost of debt, T = tax rate.(Chapter 15)
    • Fisher formula: (1 + i) = (1 + r)(1 + h), where i = nominal interest rate, r = real interest rate, and h = inflation rate. (Chapter 19)
    • Purchasing Power Parity and Interest Rate Parity: S1 = S0 × (1 + hc) / (1 + hb), F0 = S0 × (1 + ic) / (1 + ib ), where S1 = future spot exchange rate, S0 = current spot exchange rate, F0 = future forward exchange rate, hc = foreign inflation rate, hb = domestic inflation rate, ic = foreign interest rate, ib = domestic interest rate. (Chapter 19)
    • Return on Capital Employed (ROCE): ROCE = Profit before interest and tax (PBIT) / Capital employed; or ROCE = Profit margin × asset turnover, where Profit margin = PBIT/Revenue, and Asset Turnover = Revenue / Capital employed.
    • Gearing: Gearing = Debt / Equity or Debt / (Debt+Equity) : can use book or market values. Also, Gearing = Prior charge capital / Equity capital (including reserves).
    • Interest coverage: Interest coverage = PBIT/Interest.
    • Liquidity ratios: Current ratio = Current assets / Current liabilities; Acid test ratio = (Current assets – Inventory) / Current liabilities
    • Shareholder investor ratios: Dividend yield = (Dividend per share / Market price per share) × 100 ; Earnings per share (EPS) = Profits distributable to ordinary shareholders / Number of ordinary shares issued; Price/Earnings (P/E) ratio = Market price per share / EPS.
    • Accounts Receivable Days: Accounts receivable days= (Receivables / Credit sales) × 365 days.
    • Inventory Days: (a) Finished goods =(Finished goods / Cost of sales) × 365 days; (b) Work-in-progress (WIP) = (Average WIP/Cost of sales) × 365 days; (c) Raw material = (Average raw material inventory/Annual raw material purchases) × 365 days
    • Accounts payable period: Accounts payable period = (Payables/Credit purchases or cost of sales) × 365 days
    • Internal Rate of Return (IRR): IRR = a + [(NPVa / (NPVa - NPVb)) × (b-a)], where a and b are discount rates, NPVa = net present value at discount rate a, NPVb = net present value at discount rate b. .
    • Equivalent annual cost: Equivalent annual cost = (PV of cost over one replacement cycle / Annuity factor for the number of years in the cycle).
    • Cost of equity: Cost of equity = D1 / P0 + g.
    • Cost of debt: Cost of debt = i(1 - T) / P0.
    • Cost of preference shares: Cost of preference shares = Preference Dividend / Market Value(ex div).
    • Profitability index: Profitability index = PV of cash flows (not including capital investment) / Capital investment

    Exam Information (Specific Cases)

    • Collection Period Reduction (Exam Q): Reducing collection period to 60 days with early settlement discount of 1% would result in a $85,479 benefit.
    • Debt Factor Services: Debt factors can do bad debt insurance, advancement of credit, receivables ledger management, and debt collection process management.
    • Foreign Accounts Receivable Management: Letters of credit, bills of exchange, and invoice discounting is most common.

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    Description

    Test your knowledge on important financial formulas including Economic Order Quantity, the Miller-Orr Model, and the Capital Asset Pricing Model across various chapters. This quiz will challenge your understanding of fundamental concepts in finance and their applications.

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