QUANTITATIVE METHODS
The real
risk-free interest rate represents time
preference.
In
hypothesis testing, the critical value
is determined by the level of significance.
ECONOMICS
In
geopolitics, cabotage is best
described as a multi-tool approach.
In a
perfectly competitive market, a firm’s breakeven point in the minimum point of average total cost curve.
With
respect to the monetary transmission mechanism, a central bank's policy rate is
initially transmitted through the economy via asset prices.
CORPORATE ISSUERS
Enterprise value is most useful when comparing companies with
significant differences in capital structure.
Target capital structure is often expressed using book
values of equity and debt because capital structure policy is aligned to measures
used by third parties.
An
increase in utility for a company's products as these products become more
widely adopted best describes network
effects.
Reduction
in a line of credit is considered a pull
on liquidity.
FINANCIAL STATEMENT ANALYSIS
Deferred tax assets could arise when an asset’s tax base exceed
its carrying amount.
A
motivation for leasing long term
rather than purchasing a high value asset reduced exposure to obsolescence
risk.
Under
IFRS, there is a single accounting model
for both finance and operating leases for lessees.
ROE = ROA*Leverage
Leverage = Average Total Assets / Average Shareholder’s
Equity
A signal for manipulation of financial
reporting is a history of large expense items classified unusual.
Under US
GAAP, purchasing trading securities
is classified as an operating activity on the statement of cash flows.
A
company is prohibited from reversing the
impairment loss on a long-lived asset classified as held for use under US
GAAP.
The cost of Bonds most likely requires adjustment for taxes in the calculation
of a firm's weighted average cost of capital.
The static trade-off theory of capital
structure most likely considers the tax shield provided by debt.
Under
the revaluation model, an initial
revaluation that increases the carrying value of an asset most likely
results in a lower financial leverage ratio.
Costs
incurred during the development phase
that are related to internally generated, identifiable intangible assets can be
capitalized if certain criteria are
met.
If
inventory that was written down in a previous reporting period subsequently
increases in value, the amount of the original write-down can be reversed under IFRS only.
In the
year of a change in accounting policy, comparability of the presented financial
statements is best with retrospective
application.
Deductible temporary differences could arise when taxable income
exceeds accounting profit.
An impairment loss on equipment will most
likely decrease net profit margin.
Ending retained earning = before retained earnings + net
income – dividends.
Cash paid to suppliers = Purchase from suppliers –
increase in account payable.
Purchase from suppliers = Cost of goods sold – decrease in
inventory.
Fixed charged coverage ratio = (EBIT + Lease payments) / (Interest
payments + Lease payments)
The free-cash-flow-to-equity model can be
used to value non-dividend paying stocks.
EQUITY
Private equity funds invest both in privately held and in
publicly traded companies.
A callable bond exhibits negative convexity.
A security's
market value and intrinsic value are
most likely the same if the market is efficient.
Equal-weighted index requires frequent rebalancing to
adjust for price changes.
Callable bond is most likely has the lowest price.
Using
the one-period binomial option pricing
model, the value of an option will be affected by the volatility of the
underlying.
Securities
dealers most likely provide
liquidity.
A
company's cost of equity is a proxy
for the minimum required rate of return of investors in the company's equity.
The constituent securities of equity indexes are liquid than
fixed-income indexes.
An analyst will most likely put a sell recommendation on a stock when its market value is higher than
intrinsic value.
All else being equal, a cash dividend most likely has the
same effect on shareholders' wealth as a share
repurchase.
According to put-call-forward
parity, a long put and a short call is equal to a long bond and a short forward.
Prior to expiration, an at-the-money option most likely trades above intrinsic value.
FIXED INCOME
For an
option-free bond, effective duration
will be equal to modified duration if the yield curve is absolutely flat.
The
underlying assets of an asset-backed security are directly owned by the special purpose vehicle.
Analytical duration assumes that government bond yields and
spreads are independent variables.
The effective convexity of a bond is a measurement of the
effect of a change in a benchmark yield
curve.
A bond's price sensitivity to a non-parallel shift in the
benchmark yield curve is best measured by key
rate duration.
Credit card backed
security utilizes credit tranching as a form of credit enhancement.
A Eurodollar bond
is denominated in USD.
Revenue bond has the greatest risk of default.
US commercial
paper typically requires the issuer to have a backup line of credit.
DERIVATIVES
At
initiation, the price of a forward
contract is most likely greater than the value of the forward contract.
An American waterfall is more advantageous to the general
partner.
In an efficient market, it is more likely that fundamental value will be reflected in
the derivatives market before the underlying spot market.
ALTERNATIVE INVESTMENTS
Sponsored depository receipts are most likely subject to greater
reporting requirements than unsponsored ones.
Arbitrage is best described as an opportunity to earn
risk-free returns with no investment capital.
Management
fees for private equity funds are most likely based on committed capital.
Funds of
hedge funds provides the greatest redemption
flexibility.
The earnings multiplier for a stock
increases with a decrease in the estimated required rate of return on equity.
A benefit of risk
budgeting is that it forces risk trade-offs.
PORTFOLIO MANAGEMENT
The capital allocation line is best
described as combinations of a risky portfolio and the risk-free asset.
The two-fund separation theorem states that
all investors will hold a combination of the risk-free asset and the optimal
risky portfolio.
Cross-default provision can result in different rating for
parent company and subsidiary.
A life cycle fund will most likely change the asset allocation
as the fund nears its target date.
With respect to the capital market line, the market portfolio is best described as
the optimal risky portfolio.
During times of severe market turmoil, the risk reduction from portfolio
diversification most likely decreases.
Beta accounts
for most of the long-term changes in a portfolio's value.
The CAPM
states that two assets with the same expected return will have the same
covariance of returns with the market.
The Markowitz
efficient frontier is above the global minimum-variance portfolio.
ETHICS
M&C can criticize CFA institute on online
forums.
Once violation is discovered, a supervisor should increase
supervision or place limitation on wrongdoer pending the outcome of the
investigation.
M&C
who manages pooled assets to a
specific mandate are not responsible for determining the suitability of the
fund. Index fund>only required to
invest in manner consistent with stated mandate.
An
analyst can disassociate a third
party members opinion from the report.
Different service levels should not be offered selectively
and should be available to everyone.
M&C can inform his clients that he is
leaving the company for some negative reasons but can’t make disparaging
statements about the company.
M&C
can enter into independent business line
while employed.
A firm
is allowed to state that performance is calculated in accordance with the GIPS
standards when presenting a segregated
account return to the account owner.
QUANTITATIVE METHODS
Rates and Returns
Geometric mean return (time-weighted return) is the most
appropriate method for performance measurement.
Effective annual rate = er – 1.
The continuously compounded rate of return = ln(S1/S0)
Continuously compounded rate of return = ln(1 + r)
As long
as there is variability in the data,
the arithmetic mean is greater than geometric mean, which is greater than the
harmonic mean.
The real
risk-free interest rate represents time
preference.
The real risk-free rate can be thought of
as approximately the nominal risk-free rate reduced by the expected inflation
rate.
The money-weighted return is the internal
rate of return on a portfolio that equates the present value of inflows and
outflows over a period of time.
Time-weighted returns are not affected by the timing of
cash flows. Money-weighted returns, by contrast, will be higher when funds are
added at a favorable investment period.
The net return on a portfolio is its gross
return minus management and administrative fees.
T-bill yields can be thought of as nominal risk-free rates
because they contain an inflation premium.
A real return is adjusted for the effects
of inflation and is used to measure the increase in purchasing power over time.
Statistical Measures of
Asset Returns
Coefficient of variation, CV = standard deviation / mean
For a unimodal distribution with negative
skewness the median is greater than the mean.
A leptokurtic distribution has fatter
tails than a normal distribution.
The
degree to which a distribution is not symmetric about its mean is measured by skewness.
Simulation Methods
With bootstrap resampling, the samples
pulled from the full dataset are all the same size. Partial datasets are not
used.
For any
random variable that is lognormally
distributed, its natural logarithm (ln) will be normally distributed.
Monte Carlo simulation is necessary to approximate
solutions to complex problems.
Estimation and Inference
The central limit theorem concerns the
sampling distribution of the sample mean.
The jackknife technique involves
calculating the standard deviation of the means from samples.
Stratified sampling is most often used for bond portfolios.
Hypothesis Testing
The Type II error is the error of failing
to reject a null hypothesis that is not true. The chance of making a Type II
error is called beta risk.
The
probability of a Type I error is
equal to the significance level of the test.
The power of the test is the probability of
rejecting a false null hypothesis.
A chi-square test is a hypothesis test
used to assess the value of a population variance.
Simple Linear Regression
The
estimated slope coefficient in a
simple linear regression is the ratio of the covariance of the regression
variables to the variance of the independent variable.
The coefficient of determination for a
linear regression is best described as the percentage of the variation in the
dependent variable explained by the
variation of the independent variable.
FINANCIAL STATEMENT ANALYSIS
Analyzing
Balance Sheet
Under
U.S. GAAP, unrealized gains and losses on trading securities are recognized in
the income statement.
U.S.
GAAP requires equity securities to be classified as trading securities.
Goodwill is subjective and should be removed from the
balance sheet for analytical purposes. Even though goodwill is not amortized,
it can impact the income statement if it is impaired.
Derivatives can be financial assets or liabilities and are
recognized at fair value on the balance sheet.
The carrying value considers both the past acquisition cost and
the future expected performance.
Overvaluing
the identifiable assets will lead to higher
depreciation and lower net income.
Under
U.S. GAAP, unrealized gains and losses on available-for-sale securities are
recognized in other comprehensive income.
IFRS permits companies to report its value
using the revaluation model.
U.S.
GAAP requires the cost model for
purchased intangible assets.
Bank loans will most likely be issued at face value and
reported on the balance sheet at the same amount. If a bond is issued at a
premium or discount to par, it will be held at amortized cost.
Trading securities are measured at fair value through profit and
loss under both U.S. GAAP and IFRS.
Analyzing
Statements of Cash Flows I
Income Statement: Reflects revenue when earned, not when cash
is collected.
Cash Flow Statement: Reflects cash receipts when collected, not
when revenue was earned.
CFO is calculated from net income and from changes
in the current assets and current liabilities.
CFI is calculated from changes in non-current
assets.
CFF is calculated from changes in non-current
liabilities and equity.
Net income is the first figure under the indirect method,
but it is not a part of the statement of cash flows under the direct method.
Indirect method, depreciation must be added to net income,
because it is a non-cash expense.
An
increase in an asset is a use of cash (-ve adjustment).
An increase
in a liability is a source of cash (+ve adjustment).
Analysis
of Income Taxes
Accounting profit is usually calculated using straight line
depreciation, while taxable income
is usually calculated using accelerated depreciation.
Deferred tax assets are created when income tax payable is greater
than income tax expense. It decreases future taxes.
Deferred tax liabilities are created when income tax expense
is greater than income tax payable. It increases future taxes.
Temporary difference is a difference between the tax
base and carrying amount of assets and liabilities.
Permanent difference is a difference between taxable
income and pre-tax income.
Statutory tax rate: The tax rate established by law.
Effective tax rate: Tax amount reported on the income-tax
statement divided by the pre-tax income.
Cash tax rate: Tax actually paid divided by pre-tax income.
If
deferred tax liabilities are expected to reverse in the future they can be
classified as liabilities. If they
are not expected to reverse in future, they can be classified as equity.
Under
IFRS, public and private companies must reconcile.
However, under GAAP only public companies are required to reconcile.
EQUITIES
Market
Organization and Structure
The short
seller must pay all dividends due to the lender of the shorted stock.
An investor sells a stock short to protect
against a large loss on this position, the investor is most likely to place a stop buy order.
Stop loss sell orders are placed to protect the
gains on a long position.
The short seller cannot withdraw the proceeds of the short sale.
Call markets are markets in which the stock is
only traded at specific times.
Continuous markets are markets where trades occur at
any time the market is open.
The day
order instruction is most accurately referred to as a validity instruction.
A buy limit order is said to be "inside the
market" when the limit is between the best bid and the best ask.
A limit order to buy is placed below the current market price.
A limit order to sell is placed above the current market
price.
A stop (loss) order to
buy is placed above
the current market price.
A stop (loss) order to
sell is placed
below the current market price.
A stop order becomes a market order if the price is hit.
Security
Market Indexes
The type of index weighting that produces a
portfolio similar to that of a momentum
strategy is based on market capitalization.
Creating a bond
market index is more difficult than constructing a stock market index due
to lack of continuous trade data for bonds.
Most hedge fund indexes are equal-weighted. Equity and fixed income
indexes are predominately market capitalization weighted.
Market
Efficiency
A portfolio manager should quantify each
client's risk tolerance and communicate portfolio policies and strategies.
An efficient capital market would price Hume's
stock based on the expectation for earnings per share. Since actual earnings
equal expected earnings, the stock price should not change as a result of the
announcement.
Tests of the semi-strong form of the EMH
require that security returns be risk-adjusted
using a market model.
Market efficiency does not assumes that
individual market participants correctly estimate asset prices.
Low returns over a three-year period are
followed by high returns over the
following three years.
Overview
of Equity Securities
Equity securities are typically issued to
finance a firm's long-lived assets,
such as equipment, and long-term projects such as research and development.
An increase in book value of equity may or may not increase the market
value of equity.
Common stock is more risky than preferred stock
and is expected to provide higher average returns.
Company
Analysis Past and Present
In assessing a company's uses of capital, an
analyst may look at treasury stock purchases and principal payments on debt.
During a period of increasing sales, compared
to firms with lower operating leverage, earnings growth for firms with high
operating leverage will be higher.
Company research report front matter section of a incules info like: A target buy price of
$12 per share.
Company
Analysis Forecasting
Contingent gains (e.g., those stemming from
lawsuits) are not recorded on the financial statements until they have
occurred.
In forecasting revenue, an analyst will look to
exclude nonrecurring items because
they are not deemed to be sustainable going forward. Gains due to the
remeasurement of subsidiary financial statements result from exchange rate
changes, and those are not predictable.
In an effort to show better actual results than estimated, management will often
project lower revenue growth and higher operating expense growth.
A new debt issuance will increase the amount of debt
for a company, with no change to equity. The debt-to-equity ratio, therefore,
will increase, which is an increase in financial leverage.
Maintenance-related capital expenditures are
typically forecasted to grow by the inflation rate.
FIXED INCOME
Fixes-Income Cash Flows
and Types
The interest rate cap benefits the borrower who
issues a floating rate bond.
Fixed-Income Markets for
Corporate Issuers
Reduced rollover risk resulting from
standardization is a benefit to investment grade.
Fixed-Income Markets for
Government Issuers
The cutoff yield a of the successful
competitive bid with the lowest price.
Credit Risk
If economic
expansion is expected, purchase corporate bonds and sell Treasury bonds.
Market liquidity risk is the risk of receiving
less than market value when selling a bond.
Fixed-Income
Securitization
Securitization improves the legal claims of the
security holders to the loans that are securitized.
Total cash flows to investors in an ABS issue
are less than the total interest and principal payments from the underlying
asset pool.
Asset-Backed Security
(ABS) Instrument and Market Features
In a structured finance CDO the collateral is a
pool of mortgage-backed securities, asset-backed securities, or other CDOs.
Mortgage-Backed Security
(MBS) Instrument and Market Features
The pool of loans backing a commercial
mortgage-backed security consists of nonrecourse
loans only.
DERIVATIVES
Forward Commitment and
Contingent Claim Features and Instruments
At expiration, the value of a European call
option is equal to its intrinsic value.
The settlement
price for a futures contract is an average of the trade prices over a
period at the end of a trading session.
Arbitrage, Replication,
and the Cost of Carry in Pricing Derivatives
The calculation of derivatives values is based
on an assumption that arbitrage opportunities are exploited rapidly.
Holding costs and benefits have no effect on the value of a forward
contract at expiration.
Pricing and Valuation of
Forward Contracts and for an Underlying with Varying Maturities
The value of a forward or futures contract is
typically zero at initiation.
The most likely use of a forward rate agreement
is to lock in an interest rate for future borrowing or lending. An FRA is a
forward commitment rather than a contingent claim.
ALTERNATIVE INVESTMENTS
Natural Resources
When the benefit of holding a commodity exceeds
the carrying cost, the yield curve experiences backwardation.
If a commodity's convenience yield is close to
zero, the futures market for that commodity is most likely in contango.
Farmland provides the steadiest cash flows compared to timberland and raw land.
The convenience
yield of a commodity is a benefit that reduces the forward price.
Hedge Funds
Survivorship bias eliminates funds that no longer
report, meaning that unsuccessful funds that have stopped reporting are not
represented in the index performance.
Backfill bias includes new funds after they have
successful performance to report. As a result, survivorship and backfill bias
can lead to overestimating performance.
Selection bias is likely to result in a
misallocation of funds to an index for a particular strategy but is less likely
to result in an overestimation of performance compared to survivorship and
backfill bias.
The terms of a hedge fund are least likely to
be stated in a side letter.
The lower the coefficient of variation, the greater the return for the same level
of risk.
Digital Assets
Two major risks of direct investment in a large
cryptocurrency are fraud and loss of access.
PORTFOLIO MANAGEMENT
Portfolio Risk and Return
Part I
The optimal
portfolio for each investor is the highest indifference and utility curve
that is tangent to the efficient frontier.
There are benefits
to diversification as long as the correlation coefficient between the
assets is less than 1.
Portfolio Risk and Return
Part II
The market
portfolio has to contain all the stocks, bonds, and risky assets in
existence.
Portfolio Management An
Overview
Venture capital fund is least likely to employ
large amounts of leverage.
A multi-boutique
firm is a holding company that includes a number of different specialist
asset managers.
Passive management’s share of industry revenues
is smaller than its share of assets under management.
Identification of the client's benchmark would
be established in the planning step.
Basics of Portfolio
Planning and Construction
A broad market index is an inappropriate
benchmark for a portfolio that uses negative screening to address the
investor’s ESG concerns.
An IPS does not necessarily, or even typically,
require a target return figure.
Tactical asset
allocation refers
to deviating from a portfolio's target asset allocation weights in the short
term.
An asset
class should be specified by type of security (e.g., stocks, bonds,
alternative assets, cash) and can then be further subdivided by region or
industry classification.
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