CFA brainscape Flashcards
Residual Dividend Model
- Calc cap needs
- Pick cap structure
- Calc new cap needs from equity
- (Earnings - equity cap investment needed) = div
5 reasons to repurchase shares
- Tax advantage
- Share price support / signaling
- Added flexibility (vs. div)
- Offsetting dilution from employee stock options
- Increasing financial leverage , change cap structure
Is it good to repurchase shares
- earnings yld = EPS / stock price
- EPS after buyback = (earnings - cost of borrowing) / (existing shares - buy back shares)
- Is New EPS > old EPS, then repurchase good
- Good if borrowing cost < earnings yld
- Div payout ratio
- Div coverage ration
- FCFE coverage ratio
- Div payout ratio = divs / NI
- Div coverage ratio = NI / divs
- FCFE coverage ratio = FCFE / (divs + repurchases)
3 Investor div preference theories
- MM’s div irrelevance
- ‘Bird in the hand’
- Tax aversion
2 Goals of corporate governance
- Eliminate/reduce conflicts of interest, especially between management and shareholders
- Use company’s assets in best interest of investors and shareholders
4 Elements of a good corporate governance system (core attributes)
- Defined rights of shareholders/stakeholders
- Defined ovesight responibilities of managers/directors
- Fair treatment between managers/directors/shareholders
- Transparency of operations, risk, performance
Corporations: proportion of all businesses, proportion of revenue
20% of businesses
90% of revenue
Board of directors risk as agents of shareholders
- Lack of independence
- Personal relationships w/management
- Director has business relationship with firm
- Interlinked boards
- Over compensation
Good corp governance traits for board (8/14)
- > 75% BOD are independent
- Chairman & CEO split
- Good qualifications
- Annual, non-staggered elections
- BOD self assessments
- BOD only meetings (no mng)
- Independent audit cmmtt
- Independent nominating cmmtt
Good corp governance traits for board (6/14)
- Compensation cmmtt (?)
- Independent BOD legal consel
- Statement of governance policies
- Disclosure & transparency
- Insider transactions approved by BOD
- Responsiveness to shareholder proxy votes
4 risks from bad corporate goverance
- Financial disclosure risk
- Asset risk
- Liability risk
4.
M&A | merger
one company buys ALL of another company
acquirer and target
2 dimensions of M&A
- Forms of integration: how companies physically come together
- Type of merger: how the companies’ businesse activities relate to each other
M&A | 3 forms of integration
- Statutory merger: one company ceases to exit
- Subsidiary merger: parent + subsidiary
- Consolidation: both companies cease to exist >> completely new company
M&A | 3 types of mergers
- Horizontal: similar businesses
- Vertical: along supply chain (raw materitals/backwards, consumer/forwards)
- Conglomerate: separate industries
Reasons for M&A
- Synergy
- Rapid growth
- Market power
- Gain unique capabilities
- Diversification
- Bootstrapping EPS
- Personal benefits to mng
- Tax benefits
- Hidden value
- Int’l business goals
M&A | Bootstrapping
- Increasing EPS by M&A wo/ increase in earnings
- High PE co. buys low PE co.
- No new economic value
- EPS increase b/c per dollar of mkt cap you get more earnings
M&A and industry life cycle
- prioneer/dev: congomerate, horizontal
- rapid growth: conglomerate, horizontal
- mature: horizontal, vertical
- stabilization: horizontal
- decline: all 3
2 technical forms of acquisition
- Stock purchase
- Asset purchase
M&A | Stock purchase and asset purchase
SP|AP - 1. Payment: sharehoder|company
- Approval: maj of shareholders|company unless > 50% of assets
- Taxes: shareholder pay cap gains| co. pays cap gains
- Liabities: buyer assumes liabilities|does not assume liabilities
- Notes: buy 100% of co. | buy some assets
M&A | Anti-trust & HHI
HHI past merger|Change|Anti-trust action - 1. < 1000 | doesn’t matter | no action
- 1000-1500 | > 100 | possible
- > 1500 | > 50 | yes
M&A | Post offer defense mechanism
- Just say no
- Litigation
- Greenmail
- Share repurchase
- Leveraged recapitalization
- Crown jewel defense: possibly legal
- Pac-man
- White knight: winner’s curse
- White squire
Herfindahl - Hirschmann Index
- If change > 100, then anti-trust issue
- HHI = ∑ (MS x 100)2 from 1 to n, MS = mkt share, n = firms in industry
- < 1800 is competitive
M&A| Discounted cash flow (DCF) analysis steps
(similar to FCFE), Calc FCF: 1. Decide on FCF mode
- Dev pro forma financial estimates
- calc FCF using estimates
- discount FCF using WACCadjusted
- Determine terminal value then discount
- Add all PV FCF together
M&A| Discounted cash flow (DCF): calc FCF
NI + Net interest after tax | unlevered NI +- deferred tax change | net op profit less adj taxes (NOPLAT) + non-cash charges (NCC) +- ∆NWC - cap ex| FCF, NWC = CA(- cash) - CL(- ST debt)
M&A|Discounted cash flow (DCF): 2 terminal value methods
- Constant growth: term val = FCFT(1+g) / (WACCadj - g)
- Market multiple: term val = FCFT x (P/FCF), P = projected price
M&A| 3 valuation of target company methods
- Discounted cash flow (DCF) analysis
- Comparable company analysis
- Comparable transaction analysis
M&A| Comparable transaction analysis for target valuation
Similar to comparable company analysis, but only mergers 1. Find comparable companies that were acquired
- Calc relative value metrics based on deal price
- Create descriptive metrics (avg, median, etc)
M&A | Empirical results
- Target get 30% premium
- Acquirers: ST ↓1-3%, LT after 3yrs ↓ 4% and 60% underperform peer group
PE | committed vs paid-in capital
committed = promised
paid-in (invested) = actually received
Convertible bonds: premium payback period
PPP = mkt conv permium / favorable income diff fid = (coupon - (conv ratio x div))/conv ratio
PE | corporate governance of PE firm
- key man clause
- performance disclosure & confidentiality
- clawback
- distribution waterfall
- tag along - drag along
- no-fault divorce: fire GP w/75% of LP
- removal for cause: fire GP
- investment restrictions
- co-investment
PE | distribution waterfall
- deal by deal
- total return: a.paid back > committed capital b. paid back > invest capital
PE | 6 ways to determine NAV
- at cost - adj for later financing
- at min of cost or mkt
- revaluing with each new financing
- at cost with no adj until exit
- discount factor for restricted securities
- illiquidity discounts to comparable public firms
PE | type of investors in PE
qualified investors
PE | PE risks
- liquidity
- unquoted
- competitive environment
- agency
- capital
- regulatory
- tax
- valuation
- diversification 10. market
PE | PE costs
- transaction
- investment vehicle fund setup
- administrative
- audit
- management (2/20)
- dilution
- placement (up to 2%)
PE | gross IRR v. net IRR
gross: portfolio co. > PE firm
net: PE firm > LPs
PE | quantitative performance measures
- PIC (paid in capital) - cap utilizied by GP
- DPI*(distributed to PIC) - LP’s realized return: aka cash-on-cash return
- RVPI*(residual value to PIC) - LP’s unrealized return
- TVPI*(total value to PIC) - DPI + RVPI
* net of mng fee & carried interest
Fixed Asset Turnover
Activity Ratio
Rev / Avg Net Fixed Assets
Rev/Ass
Avg Net Fixed Assets = Fixed Assets - Dep
Common Equity Accounts (Balance Sheet)
Common stock
Add paid-in capital
Treasury stock
Non-control subsidiary
Retained earnings
Accum other comp income
Common Asset Accounts (Balance Sheet)
Cash
Acc Rec
Inv
PPE
Prepaid exp
Investments (bonds)
Intangible
DTA
Pension
Receivables turnover ratio
Activity ratio
Rev / Avg acc rec
Rev / Ass
Common Liability Accounts (Balance sheet)
Acc pay
Accru exp
Unearned rev
Debt
Captial leases
Pension
DTL
Operating cash flow | Direct vs Indirect Method
Direct:
redo income statement based on cash
not accrual
subtract out CFI p/l
Indirect:
start with accrual income statement and net income and adjust for cash basis
subtract CFI p/l
Current Ratio
Liquidity ratio
Current Assets / Current Liabilities
Cash to Income Ratio
Performance ratio
CFO / Operating Income
Cash return on equity ratio
Performance ratio
CFO / Avg total equity
EBIT
Operating profit
Multi-step income statement format
Rev - COGS = Gross Profit - SGA - Dep = Op Profit - Int = EBT - taxes = EAT - p/l discont ops = Net Income
Operating Cash Flow (CFO)
Cash flow that affects net income
Number of days of payables
Activity ratio : 365 x avg acct pay / purchases : 365 x liab / exp
total asset turnover
activity ratio : rev / avg assets : rev / asset
harmonic mean
n / (1/x1 + 1/x2 + 1/x3)
geometric mean
[(1 + r1) x (1 + r2) + (1 + r3)] ^ 1/n : less than arithmetic mean
three statistical frequencies
absolute, relative, cumulative
NOIR
nominal (no particular order), ordinal (ordered), interval (diff equal), ratio (true zero)
Holding period yield/return
HPY/HPR : = (end value - begin value) / begin value = (P1 - P0 + D1) / P0 = [BDY x (t/360)] / [1 - BDY x (t/360)]
money weighted return v. time weighted return
MWR uses cash flows and IRR : TWR calcs return for each period then multiplies the geometric mean
annual percentage rate APR
no compounding : lower than APY : calculator CPT I/Y then multiply by # of periods
annual percentage yield APY
yes compounding : higher than APR : ( end value / begin value ) ^ # periods
bond equivalent yield BEY
semi-annual rate (compunded if necessary) x 2
money market yield / CD equivalent yield
MMY = HPY x (360/dtm) = 360 x BDY / [360 - (dtm x BDY)]
effictive annual yield (EAY)
EAY = (1 + HPY) ^ (365/t) - 1
bank discount yield (BDY)
’= ( face - price ) / face x 360 / dtm
standards of professional conduct
(7) professionalism, integrity of cap mkts, duties to clients, duties to employers, analysis+recommendations+actions, conflict of interest, responsibilities of CFA
standards / resposibilities to CFA
- conduct
- referencing CFA
standards / conflicts of interest
- disclosure
- priority or transactions
- referral fees
standards / analysis, recommendations, actions
- diligence + reasonable basis
- comms w clients + prospects
- record retention
standards / duties to employers
loyalty, outside compensation, surprise well
standards / duties to clients
loyalty, fair dealing, suitability, performance presentation, confidentiality
standards / integrity of markets
material non-public info, market manipulation
standards / professionalism
- knowledge of law
- independence + objectivity
- misrepresentation
- misconduct
code of ethics
(6) act w integrity w/public,clients,employer, client/profession above self, use care when managing money, practice + encourage, promote integrity of mkts, maintain + improve self
important Z values
- 59 = 0.5%,
- 33 = 1%, 1.96 =
- 5%, 1.65 = 5%, 1.28 = 10%
GIPS
(9) fundamentals of compliance, input data, calculation methodology, composite construction, disclosures, presentation + reporting, real estate, private equity, wrap fee / separately managed accounts (SMA) portfolios
coefficient of variation
standard deviation / mean = s / Xbar
diluted EPS
(NI - pref div) + (conv pref divs) + (conv debt int)x(1 - tax) / (weight avg shares) + (conv pref shares) + (conv debt shares) + (stock opt shares)
basic EPS
NI - pref divs / weighted avg shares
Dupont equation - original
ROE = return on equity = NI/sales x sales/assets x assets/equity = net profit margin x asset turnover x leverage ratio
Dupont equation - extended
ROE = return on equity = NI/EBT x EBT/EBIT x EBIT/sales x sales/assets x assets/equity = XXX
common size cash flow ratios
basing cash flow statement on % of sales : X/sales
common size balance sheet ratios
basing balance sheet accts on % of assets : X/total assets
common size income statement ratios
basing income statement accts on % of sales : X/sales
return on equity ROE
net income / avg equity
return on total capital
net income / (avg debt + avg equity)
return on assets w interest ROA
(net income + (int x ( 1 - tr )) / avg assets
return on assets no interest ROA
net income / avg assets
pre-tax margin
EBT / sales
EBITDA
Sales - COGS - SGA
Bayes Formula
P(A | B) = P(B | A) x P(A) / P(B)
price index vs return index
price index = includes just price, no divs or int : return index = includes div and int
portfolio variance
o^2 = Wa^2 x Oa^2 + Wb^2 x Ob^2 + 2WbWaCovab = Wa^2 x Oa^2 + Wb^2 x Ob^2 + 2WbWaPabOaOb
correlation coefficient
Pab = Covab / (Oa x Ob) : Pab x Oa x Ob = Covab : -1 <= 1
covariance
Covab = Pab x Oa x Ob = E[(Ai - Abar)(Bi - Bbar)] : range is pos to neg infiniti
covariance of A and A
Covaa = Oa^2
fact
P(A) = P(AB) + P(ABc) where A can only occur if B or Bc, B and Bc are mutually exclusive and exhaustive
probability addition rule
P(A or B) = P(A) + P(B) - P(AB)
probability multiplication rule
P(AB) = P(A|B) x P(B) = P(B”A) x P(A)
skewness
Sk = 1/n x E(Xi - Xbar)^3 / s^3, s=sample std dev : norm dist = 0, right skew > 0, left skew < 0
kurtosis
K = 1/n x E(Xi - Xbar)^4 / s^4, s=sample std dev : leptokurtic (more) > 3, norm dist = 3, platykurtic (less) < 3
sharpe ratio
S = Ri - Rf / O, O = std dev of portfolio
chebyshev’s inequality
percentage of observations that lie within k std devs, regardless of distribution, is at least >= 1 - 1/K^2 for k > 1
variance
O^2 = E(Xi - Xbar)^2 / n if Xbar is pop mean OR
mean absolute deviation
MAD = E | Xi - Xbar | / n
variance of binomial random variable
O^2 = n x p x (1 - p)
probability of x successes in n binomial trials
p(x) = n! / [(n - x)! x!] * p^x * (1 - p)^(n - x)
VAR on bonds
VAR looks at both how changes in yield affects bond/portfolio values and how yield volatility affects bond/portfolio values
price value of basis point
= duration * .0001 * notional : it’s the $ change / 1 bp change
bond valuation with duration and convexity
= ( - duration x Δy ) + ( convexity x Δy^2) x 100, where Δy = change in yield in decimal form
portfolio duration
= W1D1 + W2D2 + … + WnDn, where W is $ portion of whole portfolio
Macaulay Duration
weighted average of time until cash flows arrive, where weights are % of total bond value that cash flow represents : does not work with embedded options :
Modified Duration
Macaulay Duration / (1 + YTM) : does not work with embedded options
effective duration
(V- - V+) / (2 x V x Δy), where Δy is in decimal form
forward rate notation
length of loan ‘f’ years until loan starts : 1 f 2 >> one year loan that starts in 2 years
option adjusted spread
z spread if the bond had no options : used to compare to option free bonds : if no options then z spread = OAS
z spread v. YTM spread
steeper spot curve >> greater diff between z and YTM spreads : upward sloping spot >> z > YTM : downward sloping z < YTM : earlier principal paid >> wider diff between z and YTM
z spread, zero volatility spread
the identical yield that must be added to each risk free spot rate to correctly value a risky bond
5 bond related rates
(5) coupon rate, current yield, YTM (= IRR), spot rates, forward rates
arbitrage free bond valuation approach
use spot rates : value each cash flow : make sure it sums to bond value : arb by b/s pieces and s/b whole
what is YTM like
IRR
spot rate
the correct discount rate for a single cash flow in the future
arbitrage CDO vs balance sheet CDO
arb CDO done for profit by arb diff between cash inflow and outflow : balance sheet CDO done to reduce risk on balance sheet from loans
what debt maturities are exempt from SEC regulation
<= 270 days
what is more risky? Revenue or general obligation bonds
revenue
stripped mortgage backed securities & risk
PO wins from prepayment : IO losses from prepayment
3 maturity cycles for T-bills
30 day, 90 day, 180 day
effect of yield levels on duration and reinvestment risk
Yield down > duration up, reinvestment down : yield up > duration down, reinvestment up
different coupon structures
zero, step-up, deferred, regular, floating
list of fixed income risk
(12) interest rate, yield curve, call, prepayment, reinvestment, credit, liquidity, exchange rate, unexpected inflation, volatility, event, sovereign
bond interest rate sensitivity
maturity longer > duration up : coupon up, call, put, yield up > duration down
Is duration calced with %Δyield or Δyield
Δyield
variation margin
in a futures account, the amount of margin needed to be added when margin falls below maintenance and needs to be increased to initial
3 types of options
financial, futures, commodity
features futures for T-bills, T-bonds, stock index
T-bills - $1mm denominations : T-bonds - $100k denominations : stock index - S&P most popular ($250 x index value)
forward rate agreement terminology
when the loan begins ‘by’ when it ends ‘FRA’ : 2 by 5 FRA starts in 60 days and ends in 150 days and loan length is 90 days (150 - 60)
how are forward contract prices determined for discount bonds, coupon bonds, FRAs
discount - % off of face (eg 4% >> (1 + (96% x dtm/360)) x notional : coupon - YTM : forward rate agreement - cash settle, based on rate when loan would BEGIN in the future but discounted by length of loan because the profit wouldn’t occur until the end of the loan
forward rate agreement
pl = (realized rate - forward rate) x (dtm/360) x notional / (1 + (realized rate x (dtm/360))
cumulative distribution function (cdf)
aka ‘distribution function : sum of probabilities for the outcomes up to and including a specified outcome
of cells in top triangle in matrix
n x (n-1) / 2
combination formula
nCr = n! / ( (n-r)! x n! ) = ‘n choose r’ : calc n [2nd][nCr] r
permutation formula
of permutations of r objects from n objects (order counts) : = n! / (n-r)! : calc n {2nd][nPr] r
label n items with k labels with ni items per label
n! / (n1! x n2! x … x nk!)
multiples’ of equity valuation models
1) P/E, P/CF, P/S, P/BV : 2) EV/EBITDA
enterprise value
all a firm’s outstanding securities (debt + equity) minus cash and short term investments
justified P/E
a PE not based on stock price but some other valuation model
discounted cash flow : equity valuation models
dividend discount - Gordon constant growth V = D1/(k-g), multi-stage : Free cash flow V = E (FCFEi /(1 + r)^i
Gordon constant growth rate model
V = D1 / ( k - g)
infinite return model
E X / (1 + r)^i = X / i
3 equity valuation models
discounted cash flow model : multiplier model : asset based model
equity valuation model - asset based
asset - liabilities - pref stock, where assets and liabilities are valued at fair value
5 external effects on industries
(5) macroeconomic, technology, demographic, governmental, social
3 types of market efficiency
weak - incorp all past info, no tech analysis : semi-strong - incorp all past + public, includes weak and no fundamental analysis : strong - incorp all past, public and private, includes weak, semi-strong and no active analysis
5 index weighting types
(5) price, equal, market cap, float adj mkt cap, fundamental
index - total return vs price return
price does not include cash flows (div + int), just index price : total includes all cash flows
complete market efficiency
operational efficiency + informational efficiency = allocational efficiency
3 types of secondary markets
quote driven - investors w dealers (OTC) : order driven - rules match buyers and sellers (exchanges) : brokered - brokers locate counter parties
margin call price
P0 x (1 - initial margin %) / (1 - maintenance margin %) : think of cap structure margin loan = debt, cash = equity, losses go to equity, when equity = maint margin % of capital then margin call
call money rate
interest rate charged on margin loan
3 functions of the market
allocate capital efficiently, determine returns that put savings and borrowings in equilibrium, allow entities to save, borrow, manage risk, trade assets now and in the future
Markowitz portfolio theory
CAPM
IPS - investment guidelines
permitted asset types, leverage
IPS - (7) investment constraints
(7) risk, return, time horizon, tax situation, liquidity, legal, unique (RRTTLLU)
(9) IPS contents
description of client, state of purpose, state of duties/responsibilities, procedures, investment objectives, investment constraints, investment guidelines, eval of performance, appendices
Beta
B = Cov(im)/o^2m = corr(im)/o^2m : B is the slope of the least squares line of Ri-Rf vs Rm-Rf : E(Ri) = Rf + B[E(Rm) + Rf)]
Jensen’s Alpha
a of portfolio = (Rp - Rf) - Bp(Rm - Rf) : % of the SML line : associated with SML
Treynor’s value
(Rp - Rf) / Bp : associated with the SML
CML vs SML statistics
CML - Sharpe Ratio, M^2 : SML - Treynor, Jensen’s alpha
M squared risk measure
m^2 = (Rp - Rf)Om/Op - (Rm - Rf) : similar to sharpe ratio but % terms : associated with CML
slope of capital markets line (CML line)
is the Sharpe ratio = Rm - Rf / om
security market line (SML)
systemic risk : E(Ri) vs systemic risk, where systemic risk = Cov(im) : E(Ri) = Rf + Cov(im)/o^2m x [E(Rm) + Rf]
capital market line (CML)
total risk : optimal capital allocation : E(Rp) = Rf + [(E(Rm) + Rf) / om] x op
fact
concept of systemic risk applies to individual securities as well as portfolios
capital allocation line
line of optimal portfolios of risk free + risky assets : theoretically all investors have the same risky asset and CAL
minimum variance portfolio
for a given expected return, the portfolio (weights) with the lowest std dev : global min var portfolio = portfolio with the minimum std dev of all portfolios
portfolio variance of two assets
O^2p = WaO^2a + WbO^2b + 2WaWbCov(ab) : O^2p = WaO^2a + WbO^2b + 2WaWbCorr(ab)OaOb
covariance
Cov(ab) = E (Xa - Xbar a)(Xb - Xbar b) / n - 1 : Cov(ab) = PabOaOb
variance
O^2 = E (Xi - Xbar)^2 / n, if population, O^2 = E (Xi - Xbar)^2 / n - 1, if sample
money weighted rate of return
= IRR
3 types of lines of credit
uncommitted, committed, revolving
Receivables - factoring
selling off the receivables through securitization : factor = the buyer of the security
acc pay management - cost of trade credit
COTC = (1 + % discount/(1-%discount))^(365/# days paid past discount)
BDY vs MMY vs BEY
BDY = (F - P) / F x 360/dtm : MMY = (F - P) / P x 360/dtm : BEY = (F - P) / P x 360/dtm, this is not the normal BEY!
BDY vs MMY
Only difference is divisor is face for BDY and price for MMY
operating cycle in days formula
days of inventory + days of receivables, this is part of the cash conversion cycle
effect of share repurchase on book value
If P > BV, decrease in BV : If P < BV, increase in BV
effect of share repurchase on EPS
If E/P = cost of borrowing, no effect on EPS : if E/P > cost of borrowing, EPS will increase : if E/P < cost of borrowing, EPS will decrease
breakeven quantity of sales
Qbe = (fixed op cost + fixed financial cost) / (unit price - variable cost per unit) : contribution margin = (unit price - variable cost per unit)
degree of total leverage
DTL = DOL x DFL = %ΔEBIT / %Δsales x %ΔEPS / %ΔEBIT =%ΔEPS / %Δsales = Q ( P - V) / (Q (P - V) - F - I) = (S - TVC) / ((S - TVC) - F - I)
degree of financial leverage
DFL = %ΔEPS / %ΔEBIT = EBIT / (EBIT - I) ???
degree of operation leverage
DOL = %ΔEBIT / %Δsales = ΔEBIT/EBIT / Δsales/sales = Q(P-V) / (Q(P-V) - F) = (S - TVC) / ((S - TVC) - F)
cost of capital - 3 ways to calculate common equity
CAPM approach, Kc = Rf - B[E(Rm) - Rf + country risk] : Div discount model, Kc = D1/P0 + g, P0 = D1 / (k -g), g = growth rate = RR X ROE : Bond yield + risk premium (3-5%)
cost of capital - pure play method with B
2 step Beq a >> Bass a >>> Beq b : Bass a = Beq a / [1 + (1 -t)debt/equity], then Beq b = Bass a [1 + (1 - t)debt/equity]
leverage - 2 types of risk
business risk (sales and operating), financial
leverage - business risk
sales, operating
marginal cost of capital break point
BP = amount of capital at which the components cost of cap changes / weight of component in capital structure
cost of capital - country risk
CRP = sovereign yld spread x (O of developing equity mkt / O of developing bond mkt in foreign currency)
cost of capital - pref stock
Kp = Dp / P, Dp = pref div, P = mkt price of pref stock
fact
cost of capital - WACC = MCC