CFA Level 1 - 101 Must Knows 368 Questions with Verified Answers,100% CORRECT

CFA Level 1 - 101 Must Knows 368 Questions with Verified Answers Addition Rule of Probability - CORRECT ANSWER ADDITION: P(A or B) = P(A) + P(B) - P(AB) Roy's Safety First Criterion - CORRECT ANSWER Safety First Ratio = (E(R) - Rₜ) / σ Larger ratio is better If (Rₜ) is risk free rate, then it becomes Sharpe Ratio Sharpe Ratio - CORRECT ANSWER Sharpe Ratio = (E(R) - RFR) / σ Larger ratio is better If (Rt) is higher than RFR, then it becomes Safety First Ratio Central Limit Theorem - CORRECT ANSWER If we take samples of a population, with a large enough sample size, the distribution of all sample means is normal with: - A mean equal to the population mean - A variance equal to the population variance divided by sample size (σ² / n) Standard Error of Sample Mean - CORRECT ANSWER σ / n^½ Binomial Probability - CORRECT ANSWER One of two possible outcomes (i.e. success/failure) Possible outcomes can be demonstrated in binomial tree Use "nCr" on calculator to solve: nCr = P(success)^x * P(failure)^(n-x) P - Value - CORRECT ANSWER Based on a calculated test statistic, rather than a significance level (which is chosen) p-value = smallest significance level at which an analyst can reject the null hypothesis one-tailed test - "less than or equal to" two-tailed test - "equal to" Cumulative Distribution Function - CORRECT ANSWER Gives the probability that a random variable will have an outcome less than or equal to a specific value (represented by F(x)) F(x) = probability of an outcome less than or equal to x Standard normal table (z) shows cumulative probabilities Effective Annual Yield - CORRECT ANSWER EAY = (1 + (i/n))^n - 1 Stated Rate = (EAY^(1/n) - 1) * n Continuous Compounding - CORRECT ANSWER ln(EAY) = continuously compounded stated rate e^(continuously compounded stated rate) = EAY Type I Error - CORRECT ANSWER Incorrectly rejecting a true null hypothesis (convicting an innocent person is Type I) Type II Error - CORRECT ANSWER Failure to reject a false null hypothesis (failure to convict a guilty person is Type II) Significance Level / Power of a Test - CORRECT ANSWER Significance Level = Probability of Type I Power of a Test = (1 - Probability of Type I) Covariance (Probability Model) - CORRECT ANSWER Covariance of random variables A and B from probability model On the calculator: 1) Enter returns for set A and joint probabilities for AB; find mean A 2) Enter returns for set B and joint probabilities for AB; find mean B 3) Multiply each joint probability AB by each set's returns minus means (ex: P(AB1)(A1 - Mean A)(B1 - Mean B) + P(AB2)(A2 - Mean A)(B2 - Mean B) + ... + P(ABn)(An - Mean A)(Bn - Mean B)) 4) The summed total is your covariance Covariance (Sample) - CORRECT ANSWER Covariance of random variables A and B from sample with historical data with n observations Correlation Coefficient - CORRECT ANSWER COVab / σaσb Bank Discount Yield (Discount basis) - CORRECT ANSWER (Discount / Face Value) * (360 / Days) Money Market Yield - CORRECT ANSWER (HPY) * (360 / Days) Bond Equivalent Yield - CORRECT ANSWER (HPY) * (365 / Days) Most appropriate for comparing yields! Technical Analysis Indicators - CORRECT ANSWER Continuation: TRIANGLE (or pennant) = Suggests a pause in the stock price movement that will be followed by a continuation of the previous trend Reversal: HEAD AND SHOULDERS = Suggests a future decline in the stock price regardless of prior trend DOUBLE BOTTOM = Increasing stock price in the future (reversal of a downtrend) Trendlines: SUPPORT / RESISTANCE = Range that stock price trades in based on supply/demand. Stock is "supported" from going below a certain low price, and "resists" going above a certain high price Price Elasticity - CORRECT ANSWER %ΔQuantity / %ΔPrice = (ΔQ / ΔP) * (P₀ / Q₀) Demand is elastic if less than -1 Demand is inelastic if 0 to -1 Income Elasticity - CORRECT ANSWER %ΔQuantity / %ΔIncome Positive for normal good Negative for inferior good Cross-Price Elasticity - CORRECT ANSWER %ΔQuantity / %ΔPriceʳᵉˡᵃᵗᵉᵈ ᵍᵒᵒᵈ Positive for substitutes Negative for complements Sources of Economic Growth - CORRECT ANSWER Increases in: - Labor - Physical Capital - Technology - Natural Resources - Human Capital (LPT:HN) "Life Pro Tip: No Hangovers" Production Function Approach (GDP) - CORRECT ANSWER Potential GDP = A * f(L,K) L = Labor K = Capital A = "total factor productivity" aka increased growth not explained by growth of labor and capital This is a proxy for growth of technology Solow (neoclassical) model (GDP) - CORRECT ANSWER Growth in Potential GDP = growth in technology + Wₗ(growth in labor) + Wₖ(growth in capital) Growth in a country's per capita GDP = growth in technology + Wₖ(growth in K/L ratio) No Arbitrage Forward Rate - CORRECT ANSWER (1 + price currency int. rate) / (1 + base currency int. rate) = forward exchange rate / spot exchange rate ((1 + price currency int. rate) / (1 + base currency int. rate)) * spot rate = no arbitrage forward rate Exchange Rate Quotes - CORRECT ANSWER Price Currency / Base Currency Read as "units of price currency for each unit of base currency" Business Cycle - Leading Indicators - CORRECT ANSWER Precede: Weekly Hours Manufacturing Manufacturing New Orders; Non-defense Consumer Goods ISM New Orders Index Stock Prices Yield Curve New Unemployment Ins. Claims Building Permits Capital Goods ex. Aircraft Leading Credit Index Consumer Expectations Business Cycle - Coincident Indicators - CORRECT ANSWER Coincide: Nonfarm payrolls Personal Income - Transfer Payments Manufacturing and Trade Sales Business Cycle - Lagging Indicators - CORRECT ANSWER Follow: *Unemployment Rate Duration of Unemployment Inventory / Sales Ratio Manufacturing and Trade Commercial and Individual Loans Prime Rate Manufacturing Labor Cost per Unit of Input Commercial / Personal Credit Income Ratio CPI The Fundamental Relationship (GDP) - CORRECT ANSWER Expenditures: GDP = C + I + G + (X - M) Income: GDP = (C + S) + T Fundamental Macro Relationship - CORRECT ANSWER (S-I) = (G-T) + (X-M) S = Personal Savings I = Personal Investment G = Government Spending T = Tax Revenue X = Exports M = Imports If G > T, government deficit If X > M, trade surplus Inflationary Gap - CORRECT ANSWER Real output above full employment (LRAS) Upward pressure on wages will decrease SRAS, reducing output and increasing prices (SRAS moves up) Recessionary Gap - CORRECT ANSWER Real output below full employment (LRAS) Downward pressure on wages should increase SRAS, increasing output to full employment, but recessionary gap may persist if "downward sticky." Kenesyian theory suggests government spends to step in and increase AD up to equilibrium (stimulus or expansionary monetary policy) Effects of Trade Restrictions - CORRECT ANSWER Trade restrictions typically increase the welfare of domestic producers, but decrease welfare of domestic consumers and foreign producers. Overall welfare is decreased by trade restrictions (deadweight loss) Types of Trade Restrictions - CORRECT ANSWER Tariffs (Oldest) - Taxes on imported goods; benefits government who collects tariff revenue Quotas - Limits quantity of imports in a time period; benefits government if selling licenses; benefits foreign producers through quota rents Voluntary Export Restraints - Foreign countries limits on quantity of exports to domestic nation. Effects are similar to quota, but government gets no revenue. Consumer Price Indexes - CORRECT ANSWER Designed to measure change in cost of basket of goods/services Weights in CPI reflect purchases of typical urban household Annual inflation rate is year over year % change in CPI Laspeyres Index (US CPI) - CORRECT ANSWER (Base year basket at current prices / Base year basket at base prices) * 100 Doesn't account for introduction of new goods, substitutions, or quality improvements (tends to overstate inflation). Paasche Index - CORRECT ANSWER (Current year basket at current prices / Current year basket at base prices) * 100 Does allow for substitution Fischer Index - CORRECT ANSWER Chain weighted: Geometric mean of Paasche & Laspeyres Indexes Market Stuctures - CORRECT ANSWER Perfect Competition Monopolistic Competition Oligopoly Monopoly Perfect Competition - CORRECT ANSWER Many Firms "Commodity" Products No pricing power (price taker) Compete only on price Monopolistic Competition - CORRECT ANSWER Many Firms Differentiated Products Slight pricing power Compete on price, features, advertising Oligopoly - CORRECT ANSWER Few Firms May be differentiated May be significant pricing power Compete on price, features, advertising Monopoly - CORRECT ANSWER One Firm No Good Substitutes Significant pricing power No need to compete; only advertise Expansionary Fiscal Policy - CORRECT ANSWER Fiscal policy is expansionary if deficit increases or surplus decreases (G > T) policy rate < neutral interest rate Contractionary Fiscal Policy - CORRECT ANSWER Fiscal policy is contractionary if deficit decreases or surplus increases (G < T) policy rate > neutral interest rate Neutral Interest Rate - CORRECT ANSWER Long Term Trend of GDP Growth + Target Inflation Rate Cash Flow from Operations (CFO) - CORRECT ANSWER Transactions that affect Net Income CFO = Net income + noncash - WC investments Typically, cash flows are operating if they affect current assets/liabilities IFRS: Interest or dividends received CFO or CFI Interest or dividends paid CFO or CFF US GAAP: Interest or dividends received CFO Cash Flow from Investing (CFI) - CORRECT ANSWER Purchases and sales of assets, some financial investments Typically, cash flows are investing if they affect long-lived assets IFRS: Interest or dividends received CFO or CFI Cash Flow from Financing (CFF) - CORRECT ANSWER Transactions that affect firm's capital structure (equity; long-term debt) Typically, cash flows are financing if they affect long-lived liabilities and equity IFRS: Interest or dividends paid CFO or CFF US GAAP: Dividends paid are CFF Non-Cash Transactions - CORRECT ANSWER Disclosed in footnotes of cash flow statement Operating Cycle - CORRECT ANSWER Days inventory on hand + Days Sales Outstanding (DSO) Cash Conversion Cycle (Net Operating Cycle) - CORRECT ANSWER Days inventory on hand + Days Sales Outstanding (DSO) - Days payables Days Inventory on Hand - CORRECT ANSWER 365 / Inventory Turnover Days Sales Outstanding (DSO) - CORRECT ANSWER 365 / Receivables Turnover Days of Payables - CORRECT ANSWER 365 / Payables Turnover Net Profit Margin - CORRECT ANSWER Net Income / Revenue Asset Turnover - CORRECT ANSWER Revenue / Assets Leverage Ratio - CORRECT ANSWER Avg. Total Assets / Avg. Total Equity DuPont Decomposition of ROE (1-3 Stage) - CORRECT ANSWER ROE (1 Stage) = (Net Income / Equity) ROE (2 Stage) = (Net Income / Revenue) * (Revenue / Equity) = Net Profit Margin * Equity Turnover ROE (3 Stage) = (Net Income / Revenue) * (Revenue / Assets) * (Assets / Equity) = Net Profit Margin * Asset Turnover * Financial Leverage (or Equity Multiplier) DuPont Decomposition of ROE (5 Stage) - CORRECT ANSWER ROE = (Net Income / EBT) * (EBT / EBIT) * (EBIT / Revenue) * (Revenue / Assets) * (Assets / Equity) = tax burden * interest burden * EBIT margin * asset turnover * Financial Leverage (or Equity Multiplier) Free Cash Flow to Firm (FCFF) - CORRECT ANSWER Cash flow available to debt and equity holders FCFF = Net income + noncash charges + after-tax interest - FC (fixed) investment - WC (working) investment FCFF = CFO + after-tax interest - FC investment Free Cash Flow to Equity (FCFE) - CORRECT ANSWER Cash flow available to equity holders after meeting obligations of debt holders Can sometimes be used in lieu of dividends to evaluate value of firm FCFE = CFO - FC Investment + net borrowing Impairment of Long-Lived Assets - CORRECT ANSWER Asset is impaired if market value falls below B/S carrying value IFRS: check for impairment annually US GAAP: Assess when circumstances dictate; apply recoverability test Recoverable Amount - CORRECT ANSWER Greater of fair value less selling costs (what you can net for it if you sell it) or value in use (PV of future cash flows) Recoverability Test - CORRECT ANSWER Asset is impaired if sum of undiscounted cash flows is less than carrying value Recovery of Impairment - CORRECT ANSWER May be recognized under IFRS; not allowed under US GAAP Financial Statement effect of Impairment - CORRECT ANSWER - Long-lived asset decreases by impairment amount - Income decreases by impairment amount when recognized - Taxes due not affected because tax deductions are not recognized until asset is sold/disposed (unrealized loss) - If DTL for asset exists, reduces DTL to narrow gap between carrying and tax base - cash flows not affected (non-cash) - Depreciation expense in future periods will decrease (reduces depreciable value) Revaluation of Long-Lived Assets - CORRECT ANSWER US GAAP: prohibited IFRS: allowed if fair market value can be determined reliably Revaluation Up - CORRECT ANSWER Revaluation up to fair value Goes directly to S/E as revaluation surplus unless they reverse a previous loss on I/S Revaluation Down - CORRECT ANSWER Revaluation down to fair value Reduces any previous reevaluation surplus first; if no previous surplus exists, go to I/S and recognize as loss Fair Value Model for Investment Property - CORRECT ANSWER IFRS only; long-lived assets held for rental income or price appreciation FVM is similar to trading securities Carry asset at fair value; recognize gains/losses on I/S Revaluation vs. Fair Value Models - CORRECT ANSWER If no losses have been recognized, Fair Value model will value asset higher because any gains will be sent to S/E as revaluation surplus under revaluation model Types of Leases - CORRECT ANSWER Operating Lease Finance Lease (IFRS) / Capital Lease (US GAAP) Finance Leases - CORRECT ANSWER Treat as if borrowing to purchase asset Treat liability as if amortizing loan IFRS: Finance Lease if rights/risks of ownership transferred to lessee US GAAP: Finance Lease if any of these are met: - Title Transfers at end of lease - Bargain purchase option at end of lease - Lease period is 75% or more of useful life - PV of lease payments if 90% or more of value Operating Leases - CORRECT ANSWER Treat as if renting the asset Payments are rental expense on I/S Payments are CFO outflows on C/F Finance Lease (B/S) - CORRECT ANSWER Recognize long-lived asset equal to lower of fair value or PV of lease payments, and recognize a liability equal in value to the long-lived asset Long-term liability has a current portion, same as LT debt Finance Lease (I/S) - CORRECT ANSWER Depreciation expense on asset and interest expense on liability - greater than lease payments in early years of lease; less than payments in later years Finance Lease (C/F) - CORRECT ANSWER Payments are part interest (CFO outflow) and part principal (CFF outflow) Interest portion can be classified as CFF under IFRS Cash Flow from Operations (CFO) - CORRECT ANSWER Transactions from firm's regular business activities CFO (Direct Method) - CORRECT ANSWER Direct Method: Start with cash from customers; add all other CFO receipts; subtract all CFO payments CFO (Indirect Method) - CORRECT ANSWER Indirect Method: Start with net income and undo anything that isn't CFO Requires adjusting accruals to a cash basis Sources of Cash - CORRECT ANSWER Increase in a liability; decrease in an asset Uses of Cash - CORRECT ANSWER Decrease in a liability; increase in an asset Expensing Asset - CORRECT ANSWER Cost is an expense on I/S Classified as operating cash outflow Capitalizing Asset - CORRECT ANSWER Cost is recorded as asset on B/S Classified as an investing cash outflow Expense (depreciation or amortization) on I/S, cost spread over asset's life Effects of Capitalizing vs. Expensing - CORRECT ANSWER Capitalization: - smooths earnings - Higher NI in current period, lower in later periods - Higher assets and S/E - Increase CFO, decrease CFI Total Debt Ratio - CORRECT ANSWER Debt / Assets Fixed Asset Turnover Ratio - CORRECT ANSWER Sales / Fixed Assets Deferred Taxes - CORRECT ANSWER Result from different accounting rules for financial reporting and tax reporting Income tax expense (fin. reporting) might not always equal taxes payable (tax reporting) If differences are temporary, B/S will reflect DTA or DTL Deferred Tax Examples - CORRECT ANSWER Accelerated depreciation warranty expense Warranty Expense - CORRECT ANSWER Recognized over warranty period for fin. reporting, but not actually paid for tax reporting Tax Loss Carryforward - CORRECT ANSWER Taxable losses from earlier period can be carried forward. Losses can be used to reduce taxable income in subsequent periods. Reduction in future taxes payable is DTA Valuation Allowance - CORRECT ANSWER DTA reduced for probability that it won't be realized; contra account under US GAAP (DTAs are directly reduced under IFRS; no such thing as valuation allowance) Revenue Recognition LT Projects (Reliable) - CORRECT ANSWER Firms may recognize revenue and profit for LT projects if outcome can be reliably estimated. Loss (if any), must all be recognized in current period Percentage of Completion (Method) - CORRECT ANSWER Revenue each period = Total project revenue * percentage of completion - revenue recognized to date Revenue Recognition LT Projects (unreliable) - CORRECT ANSWER IFRS: Expense costs when incurred, recognize revenue up to costs, no profit until completion US GAAP: Completed contract method; all revenue, expense, and profit at completion Percentage of Completion (Formula) - CORRECT ANSWER Costs incurred to date / total estimated costs Ending Inventory - CORRECT ANSWER Beg. Inventory + Purchases - COGS LIFO - CORRECT ANSWER Last In First Out Is not allowed under IFRS! Choosing an Inventory Costing Method - CORRECT ANSWER Choose the one that matches flow of physical goods most appropriately LIFO Layer - CORRECT ANSWER Layer of goods at certain LIFO price FIFO Inventory (calculation) - CORRECT ANSWER LIFO Inventory + LIFO reserve FIFO Retained Earnings - CORRECT ANSWER LIFO Retained Earnings + LIFO reserve * (1 - tax rate) FIFO COGS - CORRECT ANSWER LIFO COGS + Change in LIFO reserve Inventory Preferences for Analysis - CORRECT ANSWER FIFO values for Inventory LIFO values for COGS These valuations are closer to true replacement cost Accounting for Investment in Securities - CORRECT ANSWER Trading Securities: - Intended to sell in short term; marked to market each period; unrealized gains/losses reported on I/S Available for Sale: - May sell prior to maturity; marked to market each period; unrealized gains/losses reported on S/E (OCI) Held to Maturity: - Not to be sold; B/S value is amortized cost (unless impaired, then market value) Change in Security Value (Accounting) - CORRECT ANSWER Realized Gains/Losses, Interest, dividend income always to I/S Accounting for fixed-coupon bond liabilities - CORRECT ANSWER IFRS: Proceeds - Issuance Costs US GAAP: Proceeds (issuance costs amortized on B/S as asset) YTM when issued will determine interest expense for each period Effective Interest Method - CORRECT ANSWER Discount or Premium amortized over life of bond, so that at maturity B/S liability will equal face value Follows Constant Yield Price Trajectory Straight Line Method (EIM) - CORRECT ANSWER Total discount (premium) / #periods Permitted under US GAAP Fair Value Alternative (EIM) - CORRECT ANSWER IFRS and US GAAP allow reporting liability at fair value; cannot change to another method once selecting (changes I/S value) Effects of Leasing vs. buying Long-Lived Asset - CORRECT ANSWER Purchase Long Lived Asset: Recognize asset on B/S at original cost Recognize depreciation each period on I/S Cash paid for asset is CFI in purchase period Lease long lived asset (finance lease): Recognize asset & liability on B/S Lower of: PV of payments, fair value Each period: recognize expenses on I/S Depreciation expense on asset; Int. exp on liability Cash paid for lease payments is part CFF (principal repaid) and CFO (interest paid) Finance Lease Liability - CORRECT ANSWER Treated as an amortizing loan (lease liability and loan liability are the same) Temporary and Permanent Tax Differences - CORRECT ANSWER Difference between income tax expense and taxes payable DTAs and DTLs are temporary differences and will eventually be reversed Tax-exempt interest income is permanent and will not be reversed Permanent Tax Difference Formula - CORRECT ANSWER Tax Rate = Income Tax Expense / Pre-Tax Income Aggressive Accounting Decisions - CORRECT ANSWER Increase current income or improve reported financial position Conservative Accounting Decisions - CORRECT ANSWER Decrease current income or worsen reported financial position Basic EPS Calculation - CORRECT ANSWER (Net Income - Preferred Dividends) / Weighted avg. common shares Weighted avg. common shares includes share issuance, share repurchases, stock splits / dividends Diluted EPS Calculation - CORRECT ANSWER Company must report diluted EPS if they have them Potentially Dilutive Securities - CORRECT ANSWER Stock Options or Warrants Convertible Bonds Convertible Preferreds Stocks & Warrants (Dilutive EPS) - CORRECT ANSWER Exercise does not affect earnings to common, but does increase common shares Use Treasury Stock Method: Assume company purchases shares w/ proceeds of options / warrants, and issues new share for the rest, all at average price for the year Convertible Preferred Shares (Dilutive EPS) - CORRECT ANSWER Conversion affects earnings to common, and increases common shares Test for dilution: Convertible Preferred Dividends / #New Shares if converted Convertible Bonds (Dilutive EPS) - CORRECT ANSWER Conversion affects earnings to common, and increases common shares Test for Dilution: (Convertible Bond Interest) * (1-tax rate) / #New shares if converted Current Ratio - CORRECT ANSWER Current Assets / Current Liabilities Net Profit Margin - CORRECT ANSWER Net Income / Sales Debt to Equity Ratio - CORRECT ANSWER Total Debt / Shareholder's Equity Effect of Changes in Tax Rate on DTA / DTL - CORRECT ANSWER Values of DTA / DTL based on tax rate expected when temporary diff. reverses If tax rate decreases, deferring tax good; prepaying bad - DTAs & DTLs both decrease If tax rate increases, deferring tax bad; prepaying good - DTAs & DTLs both increase Income Tax Expense Formula - CORRECT ANSWER Taxes Due + Change in DTL - Change in DTA Capital Project Analysis (NPV) - CORRECT ANSWER NPV = sum of initial cash flows - initial outlay Independent: Accept NPV > 0 Multiple Projects: Maximize NPV to best projects Mutually Exclusive: Project with highest NPV > 0 Capital Project Analysis (IRR) - CORRECT ANSWER IRR = Discount rate where NPV = 0 Independent: IRR > Cost of Capital Multiple Projects: Use NPV; higher IRR doesn't mean better Projects with unconventional CFs may have multiple IRRs or none Profitability Index - CORRECT ANSWER Ratio of discounted CFs to initial outlay Independent: Accept if PI > 1 (NPV will be > 0) Ex: PI = 1.1 means CFs 110% of initial outlay = NPV 10% of initial outlay Payback Period; Discounted Payback - CORRECT ANSWER Time until initial outlay is recovered Not recommended for accept/reject decisions Breakeven Quantity of Sales - CORRECT ANSWER Sales in units at which revenue = total cost Breakeven = (Fixed Operating Costs + Fixed Financing Costs) / (Price - Variable CPU) Breakeven = Fixed Costs / Contribution Margin Operating Breakeven Quantity of Sales - CORRECT ANSWER Sales in units at which revenue = operating costs Operating Breakeven = (Fixed Operating Costs) / (Price - Variable CPU) Weighted Avg. Cost of Capital (Sources) - CORRECT ANSWER Debt Preferred Equity Common Equity Cost of Preferred Capital - CORRECT ANSWER Cost of Preferred = Dividend / Market Price Cost of Debt Capital - CORRECT ANSWER Use after-tax cost because interest is tax deductible (after-tax = before-tax * (1-tax rate)) YTM approach: before-tax cost is YTM on firm's outstanding debt (not coupon) Debt-rating approach: before-tax cost is YTM of debt with same rating as firm (adjust for differences in maturity, seniority, covenants) Cost of Common Equity - CORRECT ANSWER CAPM: R(e) = R(rf) + B(R(m) - R(rf) DDM: (expected dividend / current price) + constant growth rate Bond Yield Plus Risk Prem.: YTM of firm's debt + est. risk premium for equity (typically 3 to 5% for equity) Capital Structure Weighting - CORRECT ANSWER Use firm's target capital structure first if known or use firm's current capital structure based on market values or use industry average capital structure Marginal cost of capital - CORRECT ANSWER The cost of capital increases as firms raise larger amounts of capital Optimal capital budget - CORRECT ANSWER Amount of capital where MCC intersects investment opportunity schedule Investment Opportunity Schedule - CORRECT ANSWER Ranking of projects from lowest to highest IRR Breakpoints in MCC - CORRECT ANSWER Breakpoint is amount of capital where MCC increases Breakpoint amt of total capital = Breakpoint in component's cost / Component's weight in capital structure Cost of Not Taking Advantage of Trade Discount - CORRECT ANSWER Example, 2/10 net 30: 2% discount if paid by day 10, full amount due by day 30 Effective 20 day cost of forgoing discount: 0.02 / (1 - 0.02) = 2.04% Annualized: (1 + Effective)^[365 / (Net days - discount days)] - 1 Annualized = (1 + 2.04)^[365 / (30 - 10)] - 1 = 44.56% Effects of Share Repurchases (EPS) - CORRECT ANSWER Effects on EPS: Repurchase decreases both #shares outstanding and earnings Repurchase w/ Cash: Interest income decreases Repurchase w/ Borrowed Funds: Interest Expense Increases MUST CONSIDER TAX EFFECTS REGARDLESS OF STRATEGY = i% * (1 - tax rate) Earnings Yield - CORRECT ANSWER EPS / Share Price Effects of Share Repurchases (BV) - CORRECT ANSWER Effects on BV: Share repurchase decrease both shares and book value Book value decreases by amount of share repurchase If repurchase price > original BVPS, share repurchase decrease BVPS Business Risk - CORRECT ANSWER Result of Sales Risk (variability of sales) and operating risk Operating Risk - CORRECT ANSWER Variability of operating earnings that comes from having fixed operating costs Financial Risk - CORRECT ANSWER Variability of EPS using debt financing Degree of Operating Leverage (DOL) - CORRECT ANSWER Leverage Ratio DOL = % change in EBIT / % change in sales DOL = (sales - VC) / (sales - VC - FC) Degree of Financial Leverage (DFL) - CORRECT ANSWER Leverage Ratio DFL = % change in EPS / % change in EBIT DFL = (sales - VC - FC) / (sales - VC - FC - Int.) DFL = EBIT / (EBIT - Int.) Degree of Total Leverage (DTL) - CORRECT ANSWER Leverage Ratio DTL = DOL x DFL DTL = % change in EPS / % change in sales DTL = (sales - VC) / (sales - VC - FC - Int.) Price Calculation - CORRECT ANSWER Price = (Total FC / Breakeven Qty.) + Unit VC Investment Objectives and Constraints - CORRECT ANSWER Two objectives and five constraints (all should be on IPS): RRLLTTU (Red Rover Likes Lots of Tasty Treats Uninterrupted) Objectives: Return Requirements Risk Tolerance Constraints: Liquidity Needs Legal and Regulatory Time Horizon Tax Considerations Unique Preferences Risk Management Framework - CORRECT ANSWER 1. Identify Risk Tolerance 2. Identify and Measure Risks Faced 3. Modify / monitor risk Risks are not necessarily minimized or avoided. Financial Risks - CORRECT ANSWER Credit Risk Liquidity Risk Market Risk Non-Financial Risks - CORRECT ANSWER Operational Risk Solvency Risk Regulatory Risk Government Risk Legal Risk Model Risk Tail Risk Accounting Risk Methods for Modifying Exposures to Risk - CORRECT ANSWER PASTA Prevent Avoid Shift Transfer Accept Capital Market Line (CML) - CORRECT ANSWER Some combination of the risk-free asset and market portfolio E(R) = R(rf) + ((E(R) of market port. - R(rf)) / Std. Dev. mkt. port) * Std. Dev. of port. P Slope = ((E(R) of market port. - R(rf)) / Std. Dev. mkt. port) Efficient Frontier - CORRECT ANSWER Portfolios with greatest expected return for given level of risk Capital Allocation Line (CAL) - CORRECT ANSWER Combines the risk-free and an investor's optimal risky portfolio Market Portfolio - CORRECT ANSWER Portfolio that is point of tangency with efficient frontier. All investors hold some level of it if you assume homogeneous expectations. Security Market Line (SML) - CORRECT ANSWER Relationship between expected return and systematic risk Measured by beta (Covariance w/ Mkt. Return / Variance of Mkt. Return) SML = CAPM = R(rf) +B(R(m) - R(rf)) Slope of SML is mkt risk premium All portfolios plot on SML in equilibrium Risk Aversion - CORRECT ANSWER Preferring Less risk to more risk, all things equal Portfolio theory suggests that ALL investors are risk averse. To accept more risk, they need more return. Indifference Curves - CORRECT ANSWER Illustrate trade off between risk/return for various portfolios on CAL Characteristics of Institutional Investors - CORRECT ANSWER BELPMD (Broke Extra Leg Please Mail Drugs) Bank (Low RT, Short TH, High Liq, Specific Income) Endowment (High RT, Long TH, Low Liq, Specific Income) Life Insurer (Low RT, Long TH, High Liq, Low Income) P&C Insurer (Low RT, Short TH, High Liq, Low Income) Mutual Fund (Specific RT, Specific TH, High Liq, Specific Income) DB Pension (High RT, Long TH, Low Liq, Specific Income) Common vs. Preferred Shares - CORRECT ANSWER Equity securities are ownership shares with no maturity. Dividends are not required to be paid. Common shares have voting rights Preferred shares have higher priority claims to earnings than common, but don't have voting rights (typically) Securities Market Structures - CORRECT ANSWER Corn "QOB" Quote Driven (aka dealer, price-driven, or OTC markets) - Market makers post bid/ask prices, buy/sell from inventory Order Driven - Use rules for order matching and trade pricing; includes exchanges and automated trading systems Brokered - Buyers and sellers use broker to find counterpart; most often used for trading illiquid assets (such as real estate) Initial Margin Requirement - CORRECT ANSWER % cash required to buy on margin Maintenance Margin - CORRECT ANSWER Min % equity an account must have If equity falls below maintenance margin; investor gets margin call Stocks - Must restore to maintenance margin Futures - Must restore to initial margin Leverage Ratio (Margin) - CORRECT ANSWER 1 / initial margin requirement Return on Margin Transaction (before costs) - CORRECT ANSWER Unleveraged return * leverage ratio (margin) Margin Returns - CORRECT ANSWER Unleveraged return includes dividends Realized return is reduced by (TIC): - Transaction Costs - Interest - Commissions Margin Call Calculation - CORRECT ANSWER Price paid per share * [ (1 - Initial Margin %) / (1 - Maintenance Margin %) ] Price Index Weighting Method - CORRECT ANSWER Securities can be weighted by price, market cap, or fundamentals Equal Weighted Index - CORRECT ANSWER Arithmetic average return of index securities Invest equal money amounts in each index stock; portfolio must be rebalanced as prices change Price Weighted Index - CORRECT ANSWER Arithmetic average price of index securities Buy equal number of shares in each index stock; portfolio must be rebalanced for stock splits or stock dividends Market Cap Weighted Index - CORRECT ANSWER Market Value of all index securities are relative to a base period (may be float adjusted to exclude shares not available for trading) Invest proportionally by market cap of each stock; larger weight on stocks that have been increasing in price (similar to momentum strategy). Fundamental Weighted Index - CORRECT ANSWER Weights based on firm metrics such as dividends or earnings Invest proportionally by firm fundamental weight; larger weight on stocks with high earnings yield (similar to value strategy) The Efficient Markets Hypothesis - CORRECT ANSWER Market it informationally efficient when prices reflect available information fully and quickly Implies that active trading on information will not earn positive risk adjusted returns over time compared to passive investing (can't beat the market) Markets become more efficient when... - CORRECT ANSWER MGFL (Most Goats Love Flowers) - More participants - Greater access to information - Lower transaction costs - Fewer impediments to trading Weak Form Efficiency - CORRECT ANSWER Prices reflect all available price/volume data No positive returns from technical analysis Semi-Strong Form Efficiency - CORRECT ANSWER Prices reflect all available publically available information No positive returns from fundamental analysis If semi strong, must also be weak form Strong Form Efficiency - CORRECT ANSWER Prices reflect all existing information, both public and private No positive returns from insider information If strong form, must be semi strong and weak form Industry Analysis & Porter's 5 Forces - CORRECT ANSWER Pricing power depends on degree of competitive pressure in industry A firm is likely to have more pricing power if... - CORRECT ANSWER CBUS (Charlie's Unique Butt Songs) - Concentration - Undercapacity - Barriers to entry - Stable market shares Porter's Five Forces - CORRECT ANSWER RTTPP (Run Through The Purple Pasture) - Rivalry Among Existing Competitors - Threat of Entry - Threat of Substitutes - Power of Buyers - Power of Suppliers Peer Groups - CORRECT ANSWER BDCA (Baby Don't Act Crazy) Firms with similar: - Business activities - Demand drivers - Availability of capital - Cost drivers Equity Valuation using Price Multiples - CORRECT ANSWER Price multiple is a ratio of share price to measure of firm's value or performance P/E = Share price / EPS Other Price Multiples - CORRECT ANSWER Price / Sales Price / CF Price / BV Justified (leading) P/E Ratio - CORRECT ANSWER Based on constant-growth dividend model P(0) = D(1) / (k - g) Divide both sides by next period's earnings (P(0) / E(1)) = (D(1) / E(1)) / (k - g) where D(1) / E(1) = div payout ratio Justified P/E = Dividend Payout Ratio / (k - g) Dividend Discount Model (Concept) - CORRECT ANSWER Principle that asset's intrinsic value is PV of future cash flows DDM (Preferred) - CORRECT ANSWER Treat as perpetuity: P(0) = Dividend / k DDM (Constant Growth) or Gordon Growth Model - CORRECT ANSWER P(0) = (D(0)*(1+g)) / (1+k) + (D(0)*(1+g))^2 / (1+k)^2 + (D(0)*(1+g))^n / (1+k)^n This converges to: P(0) = D(1) / (k-g) DDM (Rapid Growth) or Two Stage - CORRECT ANSWER REMEMBER: Constant growth DDM estimates value one period before dividend you use (see photo) The first dividend we can use for constant-growth is one that grows at constant rate Approximate Modified Duration - CORRECT ANSWER Linear estimate of the sensitivity of a bond's price to change in YTM (Price after (up) YTM - Price after (down) YTM) / (2 * Original Price * Change in YTM as a decimal) Convexity - CORRECT ANSWER Estimate of the curvature of the price-yield relationship Greater for bonds with longer maturity dates and lower coupons Percent Change in Bond Price - CORRECT ANSWER - Duration * Change in YTM + (0.5) * Convexity * (Change in YTM)^2 Spot & Forward Rates - CORRECT ANSWER Regardless of when you borrow (whether spot or forward), rates should be equal (1 + S1)^3 = (1 + S1) * (1 + 1y2y)^2 (1 + S1)^3 = (1 + S1) * (1 + 1y1y) * (1 + 2y1y) (1 + S1)^3 = (1 + S2)^2 * (1 + 2y1y) Yield Spreads - CORRECT ANSWER G-Spread: Bond YTM minus YTM of maturity matched gov't bond yield I-Spread: "Interpolated" spread, relative to maturity-matched swap rate Z-Spread: "Zero-volatility" spread, parallel spread to the benchmark yield curve Option Adjusted Spread: Z-Spread on a bond if the embedded option is removed Effects of embedded bond options - CORRECT ANSWER Callable bond - may be called by issuer, bondholder receives a premium Callable price = option free price - call option value Putable bond - may be put back to issuer, bondholder pays a premium Putable price = option free price + put value Convertible bond - may be redeemed for common stock Convertible price = option free price + convertible value Sources of bond return - CORRECT ANSWER CGI Coupon payments Gain/Loss on sale of bond Interest income on reinvestment of coupons Bond Price Risk - CORRECT ANSWER If int. rates increase; bond price dec. No price risk if held to maturity Bond Reinvestment Risk - CORRECT ANSWER When int. rates decrease, reinvestment income dec. We assume coupons are reinvested at YTM Investment Horizon < Macaulay Duration - CORRECT ANSWER Price risk has greater effect Investment Horizon > Macaulay Duration - CORRECT ANSWER Reinvestment risk has greater effect Investment Horizon = Macaulay Duration - CORRECT ANSWER Price & Reinvestment risk offset each other Full or Invoice or Dirty Price - CORRECT ANSWER Includes interest owed to seller, with compounding at YTM Clean or Flat Price - CORRECT ANSWER Full price - accrued interest, which does not include compounding accrued interest = coupon pmt * portion of coupon period Accrued bond interest types - CORRECT ANSWER Gov't: actual/actual Corporate: 30/360 Factors affecting duration - CORRECT ANSWER Longer maturity increases duration Higher coupon lower duration Higher YTM lower duration Repurchase agreements (Repos) - CORRECT ANSWER Form of borrowing; using a debt security as collateral Borrower sells security to counterparty and agrees to "repurchase" at higher price (actually sells it too) Overnight / Term Repo - CORRECT ANSWER Repo set up for a single day or term Repo Rate - CORRECT ANSWER Interest rate implied by the difference between the sale and repurchase rates Repurchase price / sale price - 1 = repo rate (also just HPY) Repo Margin (Haircut) - CORRECT ANSWER Percent difference between repo price and sale price Factors Affecting Repo Rate - CORRECT ANSWER Higher rate: - longer term - low credit quality of collateral (junk bonds) - other funding sources have higher costs (market forces) Lower rate: - deliver custody of asset Factors Affecting Repo Margin (haircut) - CORRECT ANSWER Higher rate: - length of term - low credit quality of collateral (junk bonds) - low credit quality of borrower - supply and demand of collateral (higher margin when security is in low demand) Bond Ratings - CORRECT ANSWER Assigned by credit rating agencies (Moody's, S&P, etc.) From Investment grade to junk to default Corporate Family Rating (CFR) - CORRECT ANSWER Applies to the bond issuer CFR is rating for senior unsecured debt Corporate Credit Rating (CCR) - CORRECT ANSWER Applies to the bond issue CCRs for other issues may be "notched" up or down based on seniority, collateral, or other provisions Capital Gains/Losses on Bonds - CORRECT ANSWER Capital Gain/Loss on bond is relative to carrying value, not purchase price Carrying value reflects amortization of premium/discount at purchase (carrying value is constant YTM price trajectory) Bond tenor - CORRECT ANSWER Remaining years to maturity Mortgage-Backed Securities (MBS) - CORRECT ANSWER Pool of mortgage loans is underlying collateral for security Pass-Through Security - CORRECT ANSWER Each security has a proportional claim to mortgage payment Interest Prepayments of principal Scheduled Payments Collateralized Mortgage Obligations (CMOs) - CORRECT ANSWER Securities issued in tranches, each of which has a claim to different cash flows While RMBS are backed by pools of mortgages, CMOs are backed by RMBSs Issued in tranches (redistributes credit risk); such as senior and subordinated (also referred to "waterfall structure") First tranche has most contraction risk Last tranche has most extension risk Agency Residential Mortgage Backed Securities (RMBS) - CORRECT ANSWER Issued by government agencies (GNMA) or government sponsored enterprises (FNMA, FHLMC) Mortgages must be conforming such as max loan-to-value, insurance, documentation, etc. Agency RMBS are pass-through Weighted Average Maturity (WAM) - CORRECT ANSWER Average remaining years for mortgages in the RMBS pool, weighted by outstanding principal Weighted Average Coupon (WAC) - CORRECT ANSWER Average interest rate in mortgages in RMBS pool Non-agency RMBS - CORRECT ANSWER Issued by private companies; may include non-conforming loans Prepayment Risk - CORRECT ANSWER Residential mortgage borrowers typically may repay principal at any time without penalty Contraction Risk - CORRECT ANSWER Mortgages in pool repay sooner than expected Extension Risk - CORRECT ANSWER Mortgages in pool repay later than expected Conditional Prepayment Rate (CPR) - CORRECT ANSWER Annualized measure of actual prepayments Public Securities Association (PSA) prepayment benchmark - CORRECT ANSWER Monthly series of CPRs 100 PSA = Prepayment rate expected to match PSA benchmark 50 PSA = Prepayments 50% slower than expected (50% of benchmark) Time Tranching - CORRECT ANSWER Redistributes prepayment risk Sequential Pay CMO (interest/principal to first tranche, then second, etc.) Planned Amortization Class CMO - CORRECT ANSWER Has PAC and support tranches Support tranches absorb both contraction/extension risk PAC tranches make scheduled payments as long as prepayment rate remains within a defined range (PAC collar) Factors that Affect Put Option Values - CORRECT ANSWER Increase in: Price of asset - Decrease Exercise Price - Increase Risk Free Rate - Decrease Volatility - Increase Time to Expiration - Increase Cost of Holding - Decrease Benefits of Holding - Increase Factors that Affect Call Option Values - CORRECT ANSWER Increase in: Price of asset - Increase Exercise Price - Decrease Risk Free Rate - Increase Volatility - Increase Time to Expiration - Increase Cost of Holding - Increase Benefits of Holding - Decrease Put-Call Parity - CORRECT ANSWER Call + Bond = Stock + Put Synthetic equivalents: Call = Stock + Put - Bond Bond = Stock + Put - Call Stock = Call + Bond - Put Put = Call + Bond - Stock Put-Call Forward Parity - CORRECT ANSWER Call + Bond = Stock + Put, where Bond = X / (1 + R(rf))^T Spot-Forward Price Relationship: Spot Price = Forward price / (1 + R(rf))^T Forward Price / (1 + R(rf))^T is the synthetic equivalent of underlying asset So, put-call parity formula can be restated as: Call + X / (1 + R(rf))^T = Forward Price / (1 + R(rf))^T + Put Profit/Loss from Call Options - CORRECT ANSWER Long: Losses limited to premiums paid Gains unlimited Breakeven = X + premium (X = Exercise) Short: Gains limited to premium received Losses unlimited Breakeven = X + premium (X = Exercise) Moneyness of Option - CORRECT ANSWER How much an option is "in the money" Profit/Loss from Put Options - CORRECT ANSWER Long: Losses limited to premiums paid Gains limited to stock price = 0 Breakeven = X - premium (X = Exercise) Short: Gains limited to premium received Losses limited to stock price = 0 Breakeven = X - premium (X = Exercise) Forward Contract Pricing and Valuation - CORRECT ANSWER Forward contract price is the asset price at a future date Forward contract value is zero at initiation (may be positive or negative during life) Costs of Holding Asset in Forward Contract - CORRECT ANSWER Opportunity cost of funds Storage Insurance Benefits of Holding Asset in Forward Contract - CORRECT ANSWER Monetary (cash or dividends) Non-monetary (convenience yield) No-Arbitrage Relationship Between Spot/Forward Prices - CORRECT ANSWER Two ways to own asset at time T: 1. Buy asset at S(0) and hold until time T - with no costs/benefits, cost = S(0)(1 + R(rf))^T - with costs/benefits, cost = (S(0) + PV(0) of costs - PV(0) of benefits)(1 + R(rf))^T 2. Go long the forward at F(T), invest PV of F(T): cost = F(0)(T) / (1 + R(rf))^T At contract initiation, both methods must equal Interest Rate Swaps - CORRECT ANSWER "Plain Vanilla" = One party pays fixed, one party pays floating Payments based on "notional" principal and netted each period Hedge Fund Fees - CORRECT ANSWER Typical "2 and 20" Management fees can be charged on beginning or ending value Incentive fees are percent of gains during period; may be net or independent of management fees Restrictions on Hedge Fund Fees - CORRECT ANSWER Hurdle Rate: Minimum percentage increase before management may collect incentive fees - Soft Hurdle: Calculate incentive on entire gains, but only if above hurdle - Hard Hurdle: Calculate incentive fees only on gains above hurdle High Water Mark: No incentives paid unless value exceeds previous high Investing in Commodities - CORRECT ANSWER Commodity investing typically done with futures contracts Sources of return from (long-only) commodity futures position: - Price return: increase/decrease in spot price - Collateral yield: Interest on ST securities deposited as margin (always positive) - Roll yield: Convergence of futures price to spot price over life of contract Backwardation - CORRECT ANSWER Futures Price < Spot Price Positive Roll Yield Contango - CORRECT ANSWER Futures Price > Spot Price Negative Roll Yield Benefits of Alternative Investments - CORRECT ANSWER Alternatives offer diversification benefits due to low correlation with equity & fixed income However, returns correlation tend to increase in crisis periods Some alts may enhance expected returns Valuation issues with Alternatives - CORRECT ANSWER Alt portfolios may include securities that are non-traded, distressed, or illiquid Conservative valuation: longs at bid, shorts at ask Non-traded securities: valued at valuation models; some hedge funds calculate a trading NAV that adjust NAV downward for illiquidity Ethics - CORRECT ANSWER Shared beliefs about what is good or acceptable behavior and what is bad or unacceptable behavior Ind. and Objectivity Std. 1: Professionalism - CORRECT ANSWER Members and candidates must not offer, solicit, accept any gift, benefit, or consideration that COULD REASONABLY BE EXPECTED to compromise their independence and objectivity Must distinguish between gifts from CLIENTS or gifts from ENTITIES SEEKING INFLUENCE Gifts from clients - CORRECT ANSWER Members and candidates should disclose to employer; before accepting when possible, or after accepting gift otherwise Gifts from Other Entities - CORRECT ANSWER Best practice is to reject gifts that could be seen to threaten ind. and object. Additional Compensation Agreements - Std. IV: Duties to Employers - CORRECT ANSWER Offers that are contingent on member or candidate's future action or performance MAY CREATE a conflict with employer's interests. Require employer's WRITTEN consent in advance of accepting (may create conflict with other client's interests) Compensation that doesn't conflict with employer's interests is OK (if outside employment takes a lot of time, should discuss with employer) Misconduct (Std 1: Professionalism) - CORRECT ANSWER Members/cand. should not engage in any professional conduct involving DISHONESTY, FRAUD, OR DECEIT Std. I (A): Knowledge of the Law - CORRECT ANSWER Addresses professional activities Std. I (D): Misconduct - CORRECT ANSWER Addresses all conduct by a member or candidate Investment Recommendations and Actions - Std. V (A): Diligence and Reasonable Basis - CORRECT ANSWER Must have a REASONABLE AND ADEQUATE basis for any investment recommendation Primary - your own research Secondary - your peer's research (must determine that data is good); may rely on firm's information with little screening Integrity of Capital Markets - Std. II (A): Material Nonpublic Information - CORRECT ANSWER If information used to form the basis of a recommendation is MATERIAL AND NONPUBLIC, a member or candidate must not act or cause others to act on it. Mosaic Theory - CORRECT ANSWER May combine public information with NONMATERIAL nonpublic information Duties to Employers - Std. IV (A): Loyalty - CORRECT ANSWER Member/cand. MUST ACT in employer's best interest until no longer employed by firm. May not solicit employer's clients BEFORE leaving firm May use public information to contact former clients AFTER leaving (unless doing so would violate non-compete) May not take records or files WITHOUT WRITTEN EMPLOYER permission May make arrangements to open competitive business BEFORE terminating employment Communicating with Clients, Prospects, Public - CORRECT ANSWER Standards that Apply: - Std. 1 (C): Misrepresentation - Std. III (D): Performance Presentation - Std. V (B): Communication with Clients/Prospects Std. V (B): Communication with Clients/Prospects - CORRECT ANSWER Disclose BASIC FORMAT AND GENERAL PRINCIPLES OF INVESTMENT PROCESS and any changes Identify RISKS AND LIMITATIONS of investing Use reasonable judgement to determine WHICH FACTORS ARE IMPORTANT to investing Distinguish between FACT AND OPINION Std. III (D): Performance Presentation - CORRECT ANSWER Must make reasonable efforts to present investment performance FAIRLY AND ACCURATELY Must not misrepresent past or expected performance Recommended way to comply: ADOPT GIPS Std. 1 (C): Misrepresentation - CORRECT ANSWER Must not KNOWINGLY omit or misrepresent information or give false impression PROHIBITED from guaranteeing a return on investment; that is unless the investment is guaranteed (e.g. CD), and if guaranteed, must be clear about nature of guarantee PLAGIARISM is considered misrepresentation; attributing material to "investment experts" or "leading analysts" is as well (must cite source) OK to use data from recognized statistical sources (e.g. S&P, etc.) Std. VII (B): Reference to CFA Institute, CFA Designation, CFA Program - CORRECT ANSWER Charterholder may use "CFA" or "Chartered Financial Analyst" after name; otherwise must be used as ADJECTIVE ONLY, not as a noun May NOT alter designation to be larger/bolder type than own name MUST use capitals with no periods May NOT use in firm name Candidate may refer to status but must not imply any partial designation, "Level 1 candidate in the CFA Program" is OK; "CFA Level 1" is not Must NOT imply superior ability Performance Presentation and Measurement Duties to Clients - Std. III (D): Performance Presentation - CORRECT ANSWER Goal: FAIR, ACCURATE, AND COMPLETE picture of investment performance Do NOT misrepresent past performance or expected future performance MAY show manager's past performance at prior firm WITH disclosure of where performance was achieved and manager's role in achieving it MAY present simulated results with full disclosure Brief presentation OK, but must provide detailed information on request (may consider audience's knowledge and sophistication) Present performance of weighted average composites of similar portfolios Include terminated accounts Recommended: Adopt GIPS Global Investment Performance Standards (GIPS) - CORRECT ANSWER Voluntary standards for measuring and presenting investment performance GIPS are adopted by firms (if adopted, must be adopted firm wide) May not claim partial compliance Initial GIPS compliant presentation must include compliant performance history for five years or since inception (subsequent presentations add to history until it reaches 10 years; then periods older can go away) If firm accepts GIPS, must be audited by independent auditor GIPS Composites - CORRECT ANSWER Groups of portfolios managed to a similar style (e.g. US Large Cap) ALL FEE-PAYING DISCRETIONARY accounts must be included at least one composite Must provide compliant presentation for any composite for any client who requests one May not alter composite performance history for changes in firm's organization Terminated accounts must be included Total Firm Assets - CORRECT ANSWER ALL ACCOUNTS (discretionary or not; fee-paying or not) Includes accounts managed by sub-advisors Based on fair value periods after January 1, 2011 (market value for earlier periods) 6 Components of Code of Ethics - CORRECT ANSWER APUMPP - Act with integrity, competence, diligence, respect and in an ethical manner - Place the integrity of the investment profession and interest of clients above their own - Use reasonable care and exercise independent professional judgement - Practice and encourage others to practice in a professional manner - Promote the integrity and viability of capital markets - Maintain and improve professional competence 7 Standards of Professional Conduct - CORRECT ANSWER PIDDCR - Professionalism - Integrity of Capital Markets - Duties to Clients - Duties to Employers - Conflicts of Interest - Responsibilities of a CFA Institute Member or CFA Candidate Conflicts of Interest - Std. VI (C): Referral Fees - CORRECT ANSWER Before entering into agreement to provide services, must disclose to employer, client, and prospective client: - Any benefit given for recommendation - Nature of benefit and its estimated monetary value NO distinction made between third-party outside firm, or internal referrals Std. III (B): Fair Dealing - CORRECT ANSWER PROHIBITS favoring one client over another (i.e. putting interests ahead of other clients) Treat all clients FAIRLY AND IMPARTIALLY; may offer different levels of service, but MUST NOT DISADVANTAGE other clients. Must disclose ALL LEVELS OF SERVICE to clients and prospects (all levels must be available to any client) Must disseminate investment recommendations FAIRLY to all clients (not equally) IPO Treatment by Standards - CORRECT ANSWER Std. VI (B): Priority of Transactions: - SUGGESTS participation in IPOs by members or candidates involved in issuing them creates an appearance of a conflict of interest Std. III (B): Fair Dealing: - Addresses oversubscribed IPOs - Distribute IPO info to ALL clients for whom investment is appropriate - If oversubscribed; distribute pro rata to subscribers (may distribute in round lots) - If issues is oversubscribed, members should FORGO ANY SALES TO THEMSELVES OR IMMEDIATE FAMILY (if beneficial interest) - Family members who are clients should be treated as any other client - Members are PROHIBITED from withholding such securities for their own benefit Relationship between applicable law and Code and Standards - Std. I (A): Knowledge of the Law - CORRECT ANSWER In all cases, members MUST comply with most strict of: - Code and Standards - Laws where member resides - Laws where member works "Most strict" PERMITS THE LEAST or REQUIRES THE MOST Suitability - Std. III: Duties to Clients - CORRECT ANSWER When in an ADVISORY RELATIONSHIP: - Inquired into client's INVESTMENT EXPERIENCE - Only make recommendations that ARE SUITABLE - Suitability is determined in context of CLIENT'S TOTAL PORTFOLIO - Document objectives and constrains in IPS - Update IPS at least annually Diluted EPS Equation (Expanded) - CORRECT ANSWER Diluted EPS = [(Net income − Preferred dividends) + Convertible preferred dividends + (Convertible debt interest)(1 − t)] / [(Weighted average shares) + (Shares from conversion of conv. pfd shares) + (Shares from conversion of conv. debt) + (Shares issuable from stock options)] Holding Period Yield (with EAY) - CORRECT ANSWER HPY = (1 + EAY)^(Days/365) - 1 Baye's Formula - CORRECT ANSWER P(A|B) = [P(A) * P(B|A)] / P(B) Multiplication Rule of Probability - CORRECT ANSWER MULTIPLICATION: P(A and B) = P(A|B) * P(B) Total Rule of Probability - CORRECT ANSWER TOTAL PROBABILITY: P(X) = [P(X|Y₁)*P(Y₁)] + [P(X|Y₂)*P(Y₂)] + [P(X|Yₙ)*P(Yₙ)] Independent / Dependent Probabilities - CORRECT ANSWER INDEPENDENT: If P(A|B) = P(A) DEPENDENT: If P(A|B) ≠ P(A) T-Statistic - CORRECT ANSWER A test of a hypothesis that the means of two normally distributed populations are equal based on two independent random samples Calculating Variance of Returns - CORRECT ANSWER Step 1: Find Arithmetic Mean of sample Step 2: Subtract mean from each value Step 3: Square each value Step 4: Sum values Step 5: Divide by sample size - 1 (n-1) unless population *Take the square root of this result to get std. dev.* Test Statistic Calculation - CORRECT ANSWER (observation - population mean) / [standard deviation / n^0.5] General properties of the normal distribution - CORRECT ANSWER 68% within 1.00 Std. Dev 90% within 1.65 Std. Dev 95% within 2.00 Std. Dev 99% within 3.00 Std. Dev Std. Deviation of Portfolio - CORRECT ANSWER p [(w1)^2(σ1)^2 + (w2)^2(σ2)^2 + 2w1w2σ1σ2(r1,2)]^1/2 If the probability of an event is 0.10, what are the odds for the event occurring? - CORRECT ANSWER 1 to 9 Discrete Uniform Probability Characteristics - CORRECT ANSWER Characterized by an equal probability for each outcome (e.g. dice roll from single die). Does not work with two random variables. Descriptive statistics - CORRECT ANSWER Used to summarize a large data set Inferential Statistics - CORRECT ANSWER Used to make forecasts or judgments about a large data set by examining a smaller set of data (based on procedure) Hypothesis Testing Rules - CORRECT ANSWER SISSCMM (Sally IS Selling Cookies Most Mornings) 1. Stating the hypotheses. 2. Identifying the test statistic and its probability distribution. 3. Specifying the significance level. 4. Stating the decision rule. 5. Collecting the data and performing the calculations. 6. Making the statistical decision. 7. Making the economic or investment decision. Coefficient of Variation - CORRECT ANSWER s / mean F Test - CORRECT ANSWER Used to test the differences of variance between two samples Formula for determining quantiles - CORRECT ANSWER Ly = (n + 1)(y) / (100) Priori Probability - CORRECT ANSWER Probability based on formal reasoning and inspection Difference in means test - CORRECT ANSWER Tests means of two independent samples Calculate F-Statistic - CORRECT ANSWER F = s1^2 / s2^2 When do you report segment data? - CORRECT ANSWER When more than 10% of revenue generated from segment (IFRS & US GAAP) Competitive Firms Stop Expanding Output When... - CORRECT ANSWER MC = MR = P GDP Deflator - CORRECT ANSWER Nominal GDP / Real GDP > 100 - Prices increasing < 100 - Prices decreasing Relationship between saving, investment, and the trade deficit - CORRECT ANSWER (exports - imports) = private savings + government savings - investment Central Bank Target vs. Operational Independence - CORRECT ANSWER Target - Defines how inflation is computed, sets the target inflation level, and determines the horizon over which the target is to be achieved Operational - Allowed to determine the policy rate Current Account Sub-Accounts - CORRECT ANSWER Merchandise and services, income receipts, and unilateral transfers If both aggregate demand and short-run aggregate supply increase, real GDP... - CORRECT ANSWER Will Increase Financial Account Sub-Accounts - CORRECT ANSWER Government-owned assets abroad and foreign-owned assets in the country P/E Ratio - CORRECT ANSWER P0/E1 = (D1/E1)/(k(e) - g) Enterprise value - CORRECT ANSWER Equity value + debt − cash Can also be stated as: Average Equity Value/EBITDA × company EBITDA It's the cost to take over the firm Porter's five competitive forces - CORRECT ANSWER (1) rivalry among existing competitors (2) threat of entry (3) threat of substitutes (4) power of buyers (5) power of suppliers Bond Percentage Price Change - CORRECT ANSWER -(duration)(ΔYTM) Estimated percent change in bond price (spread) - CORRECT ANSWER −duration(change in spread) + (½)(convexity)(change in spread)^2 Money duration per $100 par value - CORRECT ANSWER annual modified duration × full price per $100 par value Key rate duration - CORRECT ANSWER Price sensitivity of a bond or portfolio to a change in the interest rate at one specific maturity on the yield curve "four Cs" of credit analysis - CORRECT ANSWER capacity, collateral, covenants, and character Bond's approximate price change formula (when duration is known) - CORRECT ANSWER −DΔi When Bond selling at Premium - CORRECT ANSWER Coupon > CY > YTM When Bond selling at Discount - CORRECT ANSWER Coupon < CY < YTM Effective convexity formula - CORRECT ANSWER [ V- + V+ - 2V(0) ] / [ (V0)(change in curve)^2 ] Assets (Formula) - CORRECT ANSWER liabilities + contributed capital + beginning retained earnings + revenues - expenses - dividends Capital Account - CORRECT ANSWER Sales and purchases of non-financial assets in a foreign country Monopoly Pricing Strategy - CORRECT ANSWER A firm in a monopoly position will reduce output to where MC = MR, which will increase price, decrease consumer surplus, and increase producer surplus Calculating AD with IS-LM Curve - CORRECT ANSWER Holding the NOMINAL MONEY SUPPLY constant and changing the price level results in a new LM curve with a different real money supply. The intersections of the IS curve with LM curves at each price level illustrate a negative relationship between the price level and real income (i.e., the aggregate demand curve). Best tool for measuring variability of sales - CORRECT ANSWER Coefficient of Variation (s / mean) Appendix to the IPS - CORRECT ANSWER Usually includes the client's strategic asset allocation and rebalancing policy Offsetting active positions is most likely addressed by employing... - CORRECT ANSWER Core / Satellite approach Risk is defined as (Markowitz) - CORRECT ANSWER A variance of returns Contingent convertible bonds - CORRECT ANSWER Convert to equity automatically based on a triggering event The Fisher Effect - CORRECT ANSWER Nominal interest rate = Real interest rate + Expected rate of inflation Promoting stability in exchange rates is among the goals of the... - CORRECT ANSWER International Monetary Fund Double Declining Balance Formula - CORRECT ANSWER (2 / n ) * (Original Cost - Accumulated Depreciation) n = asset useful life Research and Development Costs - CORRECT ANSWER US GAAP: Expensed against income as incurred IFRS: May be recorded as intangible asset Capital Rationing - CORRECT ANSWER Prioritizing projects to maximize the increase in company value Theoretical CML Portfolio - CORRECT ANSWER Market weighted portfolio of all risky assets Historically, returns on major asset classes have exhibited: - CORRECT ANSWER Negative skewness and positive excess kurtosis. According to capital market theory, any portfolio that plots on the CML... - CORRECT ANSWER Will also plot on the SML Put-Call Relationships with Interest Rates - CORRECT ANSWER Put = Inverse Call = Direct Venture Capital Stages - CORRECT ANSWER Angel - Planning Seed - Research Early - Initial Production Repeat Sales Indexes - CORRECT ANSWER Based on actual selling prices of properties; have higher standard dev than appraisal indexes Calculating Asset Beta - CORRECT ANSWER (Equity Beta) * ( 1 / (1 + (1-t) * (D/E))) Yield Calculation Relationships - CORRECT ANSWER Discount Yield < BEY Money Market Yield < BEY Effective Annual Yield > BEY Beta Formula (SML) - CORRECT ANSWER (Cov(stock,market))/(Var(market)) Fama and French Three Factors - CORRECT ANSWER Firm size Firm's book value-to-market value ratio Excess return on the market portfolio M-Squared - CORRECT ANSWER Measures the excess return of a