CMA Final Paper 14 (SFM) flashcards
CMA Final Paper 14 (SFM) · Build recall with a focused review session.
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- WACC formula
- WACC = (E/V)·Ke + (D/V)·Kd·(1−t), where E and D are market values and V = E + D. Use target weights and marginal costs for investment appraisal.
- Sustainable growth rate
- g = ROE × retention ratio b, with b = 1 − dividend payout. Growth above g requires external equity or higher leverage, otherwise leverage ratios rise.
- Economic profit
- Economic Profit = Invested Capital × (ROIC − WACC). Positive spread means the firm creates value; growth only adds value when the spread is positive.
- Pecking order theory
- Firms prefer internal funds, then debt, then new equity, because asymmetric information and issue costs make equity issuance costly and often interpreted as bad news.
- Value at Risk
- VaR at confidence c is the loss L such that the probability of a loss exceeding L equals 1 − c over a stated horizon. It ignores losses beyond the threshold.
- Expected Shortfall
- ES (CVaR) is the average loss conditional on losses exceeding VaR. It is sub-additive and coherent, unlike VaR, which can violate sub-additivity.
- Expected loss formula
- Expected Loss = PD × LGD × EAD. Unexpected loss above the expected level drives economic capital, while regulatory capital uses risk-weighted assets.
- Interest rate duration exposure
- ΔP ≈ −D·P·Δy/(1+y) plus convexity term ½·C·P·(Δy)². Duration gives first-order price sensitivity; convexity corrects for larger rate moves.
- FCFF formula
- FCFF = EBIT(1−t) + D&A − Capex − ΔNWC. Discount at WACC to obtain enterprise value, then subtract net debt for equity value.
- Gordon growth model
- P0 = D1/(Ke − g). Requires g < Ke and a stable payout ratio. Terminal value = FCFF_{n+1}/(WACC − g) in a DCF.
- Hamada equation
- βL = βU[1 + (1−t)D/E]. Unlever comparable betas, then relever to the target capital structure before computing the cost of equity.
- Residual income model
- V0 = B0 + Σ (ROE − Ke)·B_{t−1}/(1+Ke)^t. Useful when free cash flow is negative or unstable, and focuses on value created above the cost of equity.
- Efficient frontier
- The locus of portfolios offering maximum expected return for each level of risk. The tangency portfolio with the risk-free asset maximises the Sharpe ratio.
- Sharpe ratio
- Sharpe = (Rp − Rf)/σp. Treynor uses beta in the denominator, while Jensen's alpha measures return above the CAPM prediction.
- Portfolio variance two assets
- σp² = w1²σ1² + w2²σ2² + 2w1w2ρσ1σ2. Lower correlation reduces portfolio variance; ρ = −1 can eliminate risk entirely.
- Bond immunisation
- Match the duration and convexity of assets and liabilities so that a parallel shift in rates leaves surplus unchanged. Requires periodic rebalancing as durations drift.
- Put-call parity
- For European options: C − P = S − K·e^{−rT}. Violations allow arbitrage using synthetic positions combining stock, bond, call, and put.
- Black-Scholes call formula
- C = S·N(d1) − K·e^{−rT}·N(d2), with d1 = [ln(S/K) + (r + σ²/2)T]/(σ√T) and d2 = d1 − σ√T.
- Credit tranching
- Pool securities are split into senior, mezzanine, and equity tranches. Losses absorb bottom-up, so subordination and overcollateralisation provide credit enhancement.
- Covered interest parity
- F/S = (1 + r_d)/(1 + r_f). The forward premium equals the interest rate differential; deviations create covered arbitrage opportunities, net of transaction costs.
- Transaction exposure
- Risk from known foreign-currency cash flows, such as exports or imports. Hedged with forwards, money market hedges, futures, or options.
- Translation exposure
- Accounting exposure from restating foreign subsidiary financial statements into the parent currency. Current-rate and temporal methods produce different gains and losses.
- International Fisher effect
- The interest rate differential between two countries equals the expected change in the spot exchange rate. Combined with PPP, it links inflation, rates, and currency movements.
- Adjusted present value
- APV = base-case NPV (all-equity discounted) + PV of financing side effects, such as tax shields, subsidised loans, and concessionary debt in foreign projects.
- Country risk premium
- An addition to the cost of equity for investing in a foreign market, reflecting political, currency, and sovereign default risk. Often based on sovereign bond spreads.
- Multilateral netting
- A centralised process that offsets intercompany payables and receivables across subsidiaries in multiple currencies, reducing gross foreign exchange exposure and transaction costs.
- Synergy value
- Synergy = V_AB − (V_A + V_B). Acquirer gain = synergy − premium paid. Cash consideration transfers synergy to target shareholders; stock shares it.
- EPS accretion rule
- In an all-stock deal, EPS accretes if the target's P/E is below the acquirer's P/E, before synergies. A higher target P/E causes dilution.
- Exchange ratio
- Exchange ratio = offer price per target share ÷ acquirer share price. Post-merger EPS = combined earnings ÷ combined shares outstanding.
- Venture capital method
- Post-money = exit value × ownership ÷ (1 + target IRR)^n. Pre-money = post-money − investment. Early-stage target IRRs typically range from 30% to 60%.
- Liquidation preference
- A term entitling preferred investors to recover their investment before common shareholders. Participating preference also shares remaining proceeds; non-participating converts to common.
- Carried interest
- The general partner's share of fund profits, typically 20%, paid after limited partners recover capital plus an 8% hurdle rate, often with a catch-up clause.
- Terminal value in DCF
- TV = FCFF_{n+1}/(WACC − g). Terminal growth must not exceed long-run nominal GDP growth; TV often represents 50–75% of total enterprise value.
- Control premium
- The excess of an acquisition price over the target's pre-announcement market price, typically 20–40%, reflecting the value of control and expected synergies.
- Marketability discount
- DLOM reduces the value of minority stakes in private firms for lack of liquidity, commonly 20–30%. It is applied after any control premium adjustment.