Investments Flashcards
Investment Policy Statement
RR TLLU
Objectives:
- Return requirements
- Risk tolerance
Constraints:
- Time Horizon
- Laws and Regs
- Liquidity needs
- Unique circumstances
- Permitted investments
- Prohibited investments
- Tax constraints
- No investment selection
Primary Market
Market in which new issues of securities are sold to the public.
- public offering
- rights offering (give existing shareholders the rights to buy new issues)
- private placement (not open market)
Secondary Market
- provides investors way of buying and selling securities that were issued in primary market
- NYSE, NASDAQ, OTC, AMEX
- Provides liquidity to shareholders
IPO Process
- Investment banking firm or syndicate underwrites the IPO
- Buys the stock from firm
- Advises firm
- Selling group: join and accept responsibility for selling shares
Accredited investor
- $200K/year income or
- 1M of net worth excluding personal residence or
- Trusts > 5M
Underwriting types (3)
Underwriting takes 3 forms:
- firm commitment - underwriter buys all the stock and takes risk it won’t sell
- best efforts approach - any stock not sold is returned to the company
- private placement
- sold to no more than 35 unaccredited investors
- avoids SEC registrations
American Depository Receipts
- A US Bank’s foreign branch holds stock of a foreign company
- Bought and sold on US market
- Prices quoted in US dollors
- Exchange rate risk
- Represent shares held in foreign foreign branch
Yankee Bonds
- No exchange rate risk
- US$ denominated bonds sold by a foreign entity in the US
- Because they are US denominated, there is no exchange rate risk.
- Registered with SEC
Securities Act of 1933
- Regulates primary market
- Deals with new security issues
- Paper act
- Prospectuses
Securities Act of 1934
- Regulates secondary market
- Gives SEC power to regulate markets, disclosure requirements of new and current securities
The Investment Advisors Act of 1940
- Investment Advisors must disclose all relevant info about
- Advice (investment advice)
- Background
- Conflicts of interest
- If under 100M AUM register with the state
- Greater than 100M AUM register with SEC
Insider Trading and Fraud Act of 1988
- Defines insiders as:
- Directors, officers, shareholders, anyone who obtains nonpublic information.
- Established penalties
Sarbanes-Oxley Act of 2002
- Protects against corporate fraud
- requires instant disclosure of stock sales
- tightened audit regulations
- established conflict of interest guidelines.
SEC Fair Disclosure (FD)
- requires distribution of market-moving information
- prohibits “pre-release” of information to market professionals.
US Patriot Act
Requires broker-dealers:
- to have anti-money laundering policies
- to have anti-money laundering officer
- gather information on clients
- source large deposits and transfers
initial margin
- amount of equity that must be put up
- Fed minimum margin amt is 50%
maintenance margin
the amount of equity that must maintained
Debit balance
- amount borrowed to purchase security
Margin position equation
Margin position = (Value of sec. - Debit balance)/Value of securties
Margin call stock price = Debit balance/ (1 - Maintenance Margin)
Market Cap of Indexes
S & P: Large cap
Wilshire 5000: Broad index - all caps
Russell 2000: small cap
Stop-limit order
Turns a stop-loss order into a limit order at a certain price
Prevents selling at a too-low price if the price declines rapidly.
Might not result in sale
Stop-loss order
Executes a market order once the stock drops to a certain price (can sell for much lower if rapidly decline)
Required Rate of Return
Required Rate of Return = Real rate + expected inflation premium + risk premium
Time-weighted return
The return of one security during the time period.
Investment’s cash flows
(InvestmenT, Time)
Dollar-weighted return
Return on the number of stocks that a specific investor transacts
Investor’s cash flows
(dollaR, investoR)
Systematic Risk
market-driven risk; Non-diversifiable risk
- Purchasing power (inflation - cash, bonds)
- Reinvestment Rate (risk that interest rates go down)
- Interest rates
- Market risk (general market movements, business cycle)
- Exchange Rate
Measured by beta
Unsystematic risk
- diversifiable risk
- business risk
- accounting/audit risk
- executive risk
- country risk
- default risk
- financial risk
- business risk
Total Risk
- Systematic risk + unsystematic risk
- measured by Standard Deviation
Beta
- Sensitivity of a security to market movement
- indication of a security’s volatility relative to the market.
- Only measures systematic, undiversifiable (market) risk.
- Derived by plotting a security’s return vs. market return; slope = beta
- Security return = Beta * Market change
Standard Deviation
- Absolute measure of risk.
- Measure of total risk (systematic + unsystematic)
- Based on an individual security’s historical return
- Higher standard deviation = more risk
- σ
- Measures variation of return around an average
- +1/-1 SD : 68% probability
- +2/-2 SD: 95% probability
- +3/-3 SD: 98% probability
Coefficient of Variation
- compares assets that have different risk and different return.
- higher CV, the greater the risk
- Standard deviation/average expected return
Semi-variance
- only measures instances where returns are below the mean
- used so risk isn’t understated by being influenced by high returns
- better measure of downside risk
Distributions of returns
- normal distributions - bell curve
- lognormal distribution - not symmetrical
- skews either negative or positive
- skewness - measures lack of symmetry
- kurtosis - degree to which bell curves are flat or peaked
- skews either negative or positive
Correlation
- drives risk reduction in diversification
- ranges from -1 to 1
- r or Rho
- -1: always move in opposite directions - no diversification benefit
- 0: not correlated at all
- 1: always move in the same direction
Calculating SD of a 2-fund portfolio
Wa = %age weight of stock a
Wb= %age weight of stock b
σ=standard deviation
COV = covariance = Rho * σa* σb
rho=correlation
R2
Coefficient of determination
- Correlation coefficient squared
- Shows what percentage of return can be attributed to the market
- The higher the r-squared, the better the measure to the benchmark
- R2 should be at least .7 or 70%
- If R2is > or equal to .7, then Beta is a good measure of risk because the market is not correlated enough to the investment for Beta to determine risk level.
Efficient Frontier
- Portfolios that offer the highest level of return for a given level of risk
- Created by Harry Markowitz
- Portfolios that lie outside of the frontier - upper left - are not attainable
- assumes that investors have perfect knowledge and want to maximize returns
Capital Market Line
- A well-diversified portfolio will fall along the CML,
- Standard Deviation is the measure of risk
- The CML is derived by drawing a tangent line from the intercept point on the efficient frontier to the point where the expected return equals the risk-free rate of return.
- M represents the market portfolio, so named since all rational investors (minimum variance criterion) should hold their risky assets in the same proportions as their weights in the market portfolio.
Security Market Line
- Provides a measure for fund performance
- Beta is the measure of risk
- Line from the risk free rate (x-axis)
- CAPM is the equation of this line
- M (market return) is the intersection between efficient frontier and SML.
Capital Asset Pricing Model
- Gives a required or expected rate of return, given the riskiness of the asset
- ri= Investors required rate of return
- rf= Risk free rate
- rm=Return of the market
- ß= Beta
Market Risk Premium
rm- rf= market risk premium
The difference between market returns and returns at the risk free rate.
The amount of returns required to undertake market risk (Beta = 1)
Arbitrage Pricing Theory
Multi-factor model.
Beta is not an input
Probability Analysis
- Probability Analysis used to determine the expected return or expected risk based on the likelihood of different scenarios
Sensitivity Analysis
- Quantifies how a client reacts to extreme low probability outcomes and determine how changes in risk/return impact asset allocations.
Monte Carlo Simulation
- employs many scenarios to build a probability distribution table for retirement planning.
Traditional Portfolio Management vs. Modern Portfolio Theory
- Trad: Based on diversifiying between sectors
- MPT: Based on SD, Beta, Efficient frontier, low correlation securities
Fixed weighted asset allocation
- predetermined asset class allocation
Flexible weighted asset allocation
Weights for each asset class are adjusted periodically based on market analysis.
Tactical asset allocation
use stock-index futures and bond futures to change a portfolios asset allocation
Sharpe Ratio
- how much risk-adjusted return are we receiving per unit of risk taken. The higher the better.
- Risk measure is SD
Sp= Sharpe Index
rp= return of portfolio
rf=Risk free rate of return
σ= standard deviation of the portfolio.
Treynor’s measure
- Uses the Beta of the portfolio to measure the portfolio’s return in relationship to risk.
- The higher the better
- Relative measure
Jenson’s measure (alpha)
- Difference between actual returns and expected returns
- Actual return minus CAPM
- Positive returns are good.
- Absolute measure - not relative
When to use Sharpe, Treynor or Alpha
- if r2 is greater than or equal to .70, then it’s okay to use Treynor or Sharpe
- If r-squared is less than .70 then use Sharpe
- R-squared indicates how reliable Beta is as a measure of risk.
- Sharpe is the only one not affected by Beta (low r-squared is an indication that Beta is not a good measure)
Dollar-cost averaging
Fixed dollar amount is invested at fixed intervals.
Constant-dollar plan
- portfolio has a speculative and a conservative portion
- When the specualtive portion increases to a predetermined dollar amount, profits are transferred to the conservative
- and vice versa
Constant Ratio Plan
- portfolio has a speculative and a conservative portion
- When the specualtive portion increases to a predetermined percentage, profits are transferred to the conservative
- and vice versa
Variable ratio plan
Ratio varies based on market timing
Rights Offering
An offer to existing share holders to purchase new stocks (can be at a preferred price)
Stock spin off
Conversion of one of the firm’s subidiaries to a stand-alone company by distribution of stock in that new company to existing shareholders.
Stock split
- Increases the number of shares and decreases the value of the stock by an equal amount.
- Mutiply number of shares times the ratio and share price times reciprocal. e.g. 5 to 3 = 5/3
Treasury stock
- Stocks that have been sold and subsequently bought back by the company.
- Buybacks are considered a positive signal
- Often used to fund management stock option plans rather than issue new shares.
Classified common stock
- different classes of stock have different benefits
- e.g Class A - non-voting stock; Class B - voting stock
Book Value for common stock
- assets - liabilities - preferred stock = book
- Book = shareholders equity
- amount of equity shareholders have in the company.
Market value of common stock
- the prevailing market price of the security
- market capitalization = market value * number of shares outstanding
Investment value
- The amount that investors believe a security should be trading for or what they think it’s worth.
- Based on expectations of risk and return and how return is expected from dividends and capital appreciation.
EPS
- Earnings per share
- Profit after taxes - preferred dividends/number of shares outstanding.
- Retained earnings are the percentage of EPS not paid to stockholders.
Date of record
- Date on which one has to be a shareholder in order to receive the dividend
- Takes 3 days to settle - must buy 3 days before Date of Record
ex-Dividend Date
- 3 trading days up to and including the date of record (2 trading days before) where stocks trade without the dividend
- if you sell on or after the ex-dividend date you still receive dividend.
Dividend Yield
Annual dividend/current share price
Dividend payout ratio
- Ratio of amount paid out in dividends vs. amount reinvested in company
- Dividends per share/earnings per share
- High DPR could suggest difficulty in paying future dividends (not enough growth)
Blue chip stocks
Issued by large, financially stable companies
Income stocks
- High dividend payouts
- Sometimes have low growth potential
- subject to interest rate risk
Growth Stocks
- Issued by companies that are experiencing rapid growth
- Usually pay little or no dividends
Cyclical Stocks
- issued by companies are closely linked to the overall economy
- move up and down with the business cycle
Defensive stocks
Pricing remains stable despite economic changes
Mid-Cap Stocks
- Market cap from 2 - 10 Billion
- Good market return with less volatility than small-cap
- baby blue chips: have same characteristics of blue-chips but smaller
Small-cap stocks
- Less than $2 Billion Market Cap
- High risk exposure
Intrinsic Value
- The determined value of a stock based on economic analysis, industry analysis, and fundamental analysis (analysis of the company’s financial and operations condition
- dependent on future cash flows, discount rate used to determine future value, risk associated with future performance
Economic Analysis
General study of the prevailing economic environment to establish a foundation for the valuation of common stock.
Looks at:
- Fiscal policy
- Monetary policy
- Inflation
- Consumer Spending
- Currency rates
- GDP
Stock Dividends
- Dividends are received as stock instead of cash.
- Generally not taxable until sold.
DRIP
- Dividend Re-Investment Plan
- Automatically re-invest in the security
- Taxed as if received as cash
PE Ratio
- Price to earnings ratio
- How much investors are willing to pay for each dollar of income.
- Price per share/Earnings per share
- Value stocks have lower PE ratios
Industry Analysis
- Perform SWOT (Strengths, Weaknesses, Opportunities and Threats) analysis.
- Establish the competitive position of an industry relative to others..
- Develop industry outlook
- Looks at the following
- monopolistic vs. competitive
- regulation
- labor relations
- role of technology
Fundamental Analysis
- Ratio study of particular company
- Use financial statement, income statement, statement of cash flows.
Company balance sheet
- summary of assets, liabilities, and shareholder equity (assets - liabilities = shareholder equity)
- at a point in time.
Company Income Statement
- Revenues and expenses over a period of time.
- Reports net income
Statement of Cash Flows
- Summary of a firm’s cash flow and other events that caused changes in the cash position
- Determines how cash was used or generated during period.
Firm Liquidity Analysis
- Measures company’s ability to meet day to day operating expenses and short-term obligations
- Current Ratio = Current Assets/Current liabilities
- Net Working Capital = Current Assets - Current liabilities
Activity Ratios
- Measure how well a firm is managing its assets
- The higher the better:
- Accounts receivable turnover = Sales/Accounts Receivable (how many times/year are we able to collect our accounts receivable)
- Inventory turnover = Sales/Inventory (how many times/year are we turning over our inventory)
- Total Asset Utilization = Sales/Total Assets (how is a firm utilizing their assets to generate sales?)
Leverage Ratios
How much fixed financing has the firm been using?
- Debt to equity ratio = Long-term debt/shareholder equity
- Times interest earned = Expenses Before Interest and Taxes (EBIT) /Interest expense (the higher the better)
Return on Equity
- Return on the amount invested
- Net income/equity
Profitability Ratios
- Measures relative success:
- Net profit margin = Net income/sales
- Return on assets = Net profit after taxes/Total assets (assets = liabilities + equity)
PEG Ratio
Stock’s PE Ratio/3-5 year growth rate in earnings
- If less than or equal to 1: growth is dues to earnings
- If greater than 1: PE is outpacing earnings growth
Book Value per Share
- Shareholders’ equity/Number of shares outstanding
- Compare to market cap to determine if overvalued or undervalued.
Price to Book Ratio
- Market price/Book value per share
- Book value = Shareholder’s equity/number of shares.
Estimate future stock price
Look at future:
- Sales
- Profit margin
- earnings
- dividends per share
- PE
Zero Growth Dividend Valuation Model
- Best for Blue Chip Stocks with constant dividend
- Stock price = Dividend/Required Rate of Return
Constant Growth Rate Dividend Valuation Model
- Assumes dividends will grow at a constant and determinable rate
- D1 = D0 + (1 + g) = Next year’s expected dividend
- V= Value of stock
- r = Required rate of return
- g = growth rate of dividend
- P = Market price for security
- V = D1 / (r-g)
- r = ( D1/P )+ g
Variable Growth Model Dividend Valuation
- Solve for return at and beyond the time period of constant growth using constant growth model
- Use cash flows to calculate NPV. Cash flow 0 is 0. Final cash flow solution from constant growth model. Input interest rate and solve for NPV.
Expected Growth Rate
- g = ROE * rr
- g= growth
- ROE = Return on Equity
- rr = rentention rate (amt. retained after dividend payout = 1 - dividend payout rate
P/E approach to valuation
- Stock Price = EPS * P/E ratio
Technical Analysis
- Forcasting stock prices based on
- charting of stock movements
- looking for patterns
- looking at supply and demand for stocks
The Dow Theory
Market Technical Indicators
- Supply and demand
- Volume
- Breadth of the market (number of advancing stocks is greater than the number declining)
- Short interest (lots of short selling indicates future demand, measures pessimism/optimism)
- Odd-lot trading
- Advance-decline line
- New highs, new lows
- charting
- Moving average
Random Walk
- Stock prices are unpredictable and follow a random pattern
- Contradicts techinical analysis
Efficient Market Hypothesis
- Markets have a large number of knowledgeable investors who react quickly to new information
- Asset prices reflect all relevant information.
Weak-form Market Efficiency
- Past prices and volume is reflected in market pricing.
- If markets follow weak-form efficiency
- techical analysis is not useful
- fundamental analyis is useful
- inside information
Semi-strong form market efficiency
All relevent public information is reflected in market prices:
- Technical analysis not useful
- Fundamental analysis not useful
- Inside information useful
Strong-Form market efficiency
All public and private information is reflected in market pricing.
Diversification is helpful; manage risk.
Market Anomalies
- January effect
- Small-firm effect
- Earnings announcements - drift
- P/E effect
Behavioral Finance - Overconfidence
Investor’s underestimate risk associated with investment
Behavioral Finance - Biased Self-Attribution
Attributes success to self, failure to others/factors
Loss Aversion
- Investors dislike loss more than gain
- Investors will hang on to losers thingking they will bounce back
Narrow framing
- Investors analyze stocks in isolation while ignoring larger conflicts
- e.g. ignoring asset allocation
Belief perserverance
- investors ignore information that conflicts with their existing beliefs
Recency Effect
What has just happened will continue to happen.
Use behavioral finance to improve results
- Sell losing stocks
- Don’t chase performance
- Be humble and open-minded
- Review performance periodically
- Don’t trade too much
Interest Rates and Bonds
- Interest rates and bond values are inversely related
- Interest rates are the single biggest determinant of bond price
- Bond markets are bullish when interest rates are falling.
Bond Risk
- Interest rate risk (price risk)
- purchasing power risk (inflation)
- liquidity risk
- Call risk
Coupon Rate
- Annual interest payment of a bond stated as a percentage of par value
- usually paid semiannually
Par Value
- Principal amount
- face value
Maturity Date
- Date that the principal must be paid back
- Longer maturity more risky - the closer to the maturity date, the closer the value gets to par.
- Longer maturity more sensitive to interest rate changes.
Term Bond
- Has one maturity date
Serial Bond
- Has several maturity dates
- Portions of the bond mature at different dates
Freely Callable Bond
Can be called at any time.
Non-callable Bond
Can never be called.
Deferred Call Bond
Not callable for a specified period, then callable
Call Premium
Additional amount paid to bond holder upon call
Call Price
Par value + call premium
Refunding Provision
- Prohibits premature retirement of a bond in order to issue another bond at a lower rate.
- Issuer can use cash on hand to issue a bond at a lower rate (just not the proceeds from the first bond)
Sinking Fund
- Repayment schedule for the bond
- Only applies to term bonds
- Issuer is obligated to pay off bond over time.
- Issuer must systematically put money aside to pay off the debt or must pay off the bond over time.
Senior Bonds
Back by a legal claim to specific assets
Mortgage bonds
- Backed by real estate
Collateral Trust Bond
Backed by securities or bonds
Equipment Trust Certificates
Backed by specific pieces of equipment
Junior Bonds
Unsecured bonds
Backed only by good faith
Debenture Bonds
- Unsecured bonds (junior bonds)
Subordinated Debenture Bond
- Unsecured bond whose claim is secondary to other claims
Income Bond
- Requires interest to be paid only after a certain amount of income has been earned
- least secure type of bond
Premium Bond
- Sells for more than par value
Discount Bond
- Sell for less than par value
Treasury Bond
- Considered default-risk free
- Interest exempt from state and local taxes
- Sold in $1,000 denominations
Treasury Bills
Mature in less than 1 year
Treasury Notes
Mature in 2 - 10 Years
Treasury Bonds
Maturity greater than 10 years
TIPS
- Treasury Inflation Protected Securities
- Principal adjusts based on inflation
- Interest payments based on current principal amount.
- At maturity pays at greater of par value or inflation adjusted par value.
I Bonds
- Inflation-adjusted bonds
- Up to 30 years
- Returns = fixed rate plus semi-annual CPI-adjusted rate
- Can be redeemed after 12 months
Agency Bonds
- Issued by US Government Agencies
- Almost no default risk
- Moral obligations of the US government - only the
- Interest rates higher than treasury bond
General Obligation Municipal Bonds
- Backed by the taxing authority that issues the bonds
- Safer than revenue bonds
Municipal Revenue Bonds
- Paid from the revenues of the project being financed.
- If not enough revenues, bond may default
Private Activity Bonds
- Usually issued to finance stadiums
- Can be subject to AMT
Municipal Bonds Taxation
- Interest income exempt from Fed taxation
- May be non-taxable by issuing state if holder is resident.
- TEY: Taxable Equivalent Yield = Yield on Muni/(1 - tax rate)
Corportate Bonds
- Fully taxable
- Higher rate of return than gov’t bonds
Zero-coupon Bonds
- Does not pay interest
- Sold at deep discount from par value - value increases the closer it gets to maturity.
- Subject to high price volatility from interest rate changes.
- Treasury Strips are zero-coupon bonds created from Treasury bonds
- Interest must be reported and taxed annually despite not receiving any payment until maturity.
Mortgage Backed Securities
- Secured by mortgages
- Investor received payments of both interest and principal (only interest taxed)
- Collaterallized Mortgage Obligations (CMO) created as pools of mortgages
- Tranches created based on maturity. Principal goes to shortest term tranche
Asset-backed securities
- Backed by pools of loans:
- auto loans
- credit cards
- home equity loans
- High yields and high credit quality because loans are greater than bond issuance.
- Short maturities - 3-5 years
- Interest and principal payments are monthly.
Junk Bonds
- High yield bonds
- Highly speculative
- Below BBB rating
Dollar-denominated bonds
- Sold in US - Yankee Bonds
- Eurodollar bonds - Can be sold outside the US; not registered with SEC
Bond quotes
- Stated as a percentage of Par Value - e.g. 97 would be 97% of par
Convertible Bonds
- Can be exchanged for a predetermined amount of common stock
- Said to have an “equity kicker”
- Company can sometimes force conversion if the bond is called
- Limits downside risk - if price of stock goes too low, can remain as bond
- Current income is usually higher than dividend
Conversion Value of Convertible Bond
Convertible Value (CV) = (Par Value/Conversion Price) * Stock Price
Conversion Ratio = Par Value/Conversion Price
Conversion Period
- Time during which convertible issue can be converted
- Can be freely convertible or not.
Conversion Price
- Stated price per share that convertible issues can be converted into
Conversion Premium
- Pay a premium for the opportunity to hold the stocks in the convertible issue as opposed to simply purchasing the stocks.
- = market price of convertible issue - conversion value
Conversion Equivalent
- how much would a share of the stock have to sell for to make it worth it to pay conversion premium.
- = Market price of convertible bond/conversion ratio
Current Bond Yield
- Annual interest (coupon) / Market price
Bond Duration (Macauley Duration)
- Measures bond’s sensitivity to changes in interest rates.
- Weighted average time until an investor receives all coupon payments and principal
- The moment in time an investor is immunized against interest rate and reinvestment rate risk
- Y = yield
- t = term (n)
- C = coupon
Duration Effects
- Longer duration = higher price volatility
- Higher YTM = Shorter Duration
- Longer maturity = longer duration
- Higher coupon = shorter duration
- The INterest rate variables are INversley related to duration.
Bond Immunization
- Occurs when duration equals investment time horizon
- Seeks to offset the opposite changes in bond valuation caused by price effect (caused by interest rate changes) and reinvestment effect (as income is received, it is reinvested at a higher or lower rate).
- Zero coupon bonds have no reinvestment rate risk (duration = maturity).
Convexity
- In a low interest rate environment, interest rate affect bond price more significantly than in a higher interest rate environment.
- If there are large changes in interest rates, duration price change formula is not effective.
- Convexity is good. Higher = better. Pay more for convexity so lower yield.
- Duration overstates price depreciation when interest rates rise and understates price appreciation when interest rate decline.
Bond Risk
Risk premium depends on:
- Default risk
- Term-to-maturity
- Call risk
Yield Spread
- Difference in interest rates between different types of securities
Yield Curve
- Shows the relationship between YTM and Term to maturity.
- Upward sloping (normal) - short-term rates lower than long-term rates
- Downward sloping - Short-term rates higher than long-term rates.
Expectations Hypothesis
- Inflation is determining factor
- Explains both normal and inverted yield curve
- If investors expect higher inflation they demand higher interest rates on longer maturities
- Decreasing inflation expectations may result in inverted curve
Liquidity Preferences Theory
- Only explains upward sloping yield curve
- Because short-term securities have more liquidity, rates are lower.
- Compensated for lower-liquidity in long-term investments.
Market segmentation theory
- Supply and demand
- Explains both upward-sloping and downward-sloping curves.
- Higher demand on the part of the borrower/issuer pushes interest rates up. If demand is high for long-term securities rates are higher. And vice versa.
Bond price sensitivity
- long-term bonds are more price-sensitive when interest rates change (more volitile)
- short-term are less affected by interest rate changes
Yield-to-Maturity
- Approximates the true return if bond is held to maturity.
- Solve for i
- Assumes reinvestment rate as same rate as yield (market rate at time of purchase)
Yield-to-call
- Calculates yield using time to first date of call and call price
Bond Premium/Discount
- If selling at a discount, Coupon < CY < YTM
- If selling at a premiun, Coupon > CY > YTM
Effective Rate of Return on Bond
Takes into account changes in interest rates for reinvestment of bond cash flows.
- Step 1: Calculate future value of only coupon payments at reinvestment rate
- Step 2: Add that future value to redemption/sale value of the bond and to get new FV of bond to calculate I.
- NO PMT because that is already accounted for in step 1
Determining Price Change of a Bond Using Duration
- Step 1: Calculate Duration - Y: YTM, C: Percent Coupon (as decimal), T: Years to Maturity.
- Step 2: Calculate Modified Duration: Duration / (1 + YTM)
- Step 3: Modified Duration * Change in interest rates
- OR
- Step 2: Calculate Percentage Change:
- -D [(Percentage change in interest rates)/(1 + YTM)]
Preferred Stock
- Hybrid security with characteristics of stocks and bonds
- Dividends are fixed amounts as a percentage of par value
- Preferred dividends paid before common dividends
- Yields are similar to high-quality bonds.
- For corps that own stock, they are able to exclude 70% of received dividends from taxes.
- Many preferred dividends taxed at ordinary income tax rate (trust preferreds)
- Some preferred stock is convertible
Preferred stock valuation
- Price of preferred stock = Annual Dividend Income (percent of par value)/Prevailing Market Yield (or required rate of return)
- Inversely related to interest rates.
Adjustable Rate Preferred
- Dividend rate is not fixed.
- Can change with interest rates.
Preference (Prior) Preferred
- Paid before other preferred stock
Cumulative/Noncumulative Provisions
- Cumulative: all past unpaid dividends must be paid before common stock dividends are paid (including all those in arrears)
- If buyer buys after dividends are in arrears, does not receive extra dividends.
- Noncumulative: don’t have to pay all dividends in arrears
Book Value of Preferred Stock
- (Assets - Liabilties) / preferred stock outstanding
Dividend Yield of preferred stock
- Annual dividend income/current market price of stock.
Open End Mutual Funds
- Investors buy and sell shares directly through the fund
- Unlimited number of shares
- All purchases and sales completed at EOD
- NAV = Fair market value of assets - liabilities/number of shares outstanding
Closed End Mutual Funds
- Investment company only sells in the intial offering
- Later trading happens on secondary market
- Purchase and selling price based on supply and demand (not NAV)
- Usually sell at a discount to NAV
ETF’s
Exchange-Traded Funds
- Trade like individual stocks
- Trade immediately
- Trade close to NAV
- Diamonds - track DJIA; Spiders - track S & P; Qubes - track NASDAQ
- Haven’t been tested to a significant degree
- no phantom capital gains
Load and no-load funds
- only apply to open-end mutual funds
- low-load fund is 2-3%
- 12 (b)1 fees: annual fee charged by mutual find company. Max: 1% of assets.
- For no-load funds, max 12(b)1 fee: .25%
- Max total load and 12b1 charges: 8.5%
UIT’s
- Unit Investment Trusts
- Fixed pool of securities
- Sold in units, not shares
- Passively managed; securities are fixed
- Can be costly due to high upfront sales charges.
Hedge Funds
- Private limited partnerships
- Not subject to same regulations as mutual funds
- General partners takes 10-20% of profits
- Only sold to accredited investors
Growth Fund
- Emphasis on capital appreciation
- Few dividends
- Moderately risky
- High P/E ratio
Aggressive Growth Fund
- Highly speculative
- High P/E
- smaller companies
- High risk
- Turnaround situations
Value funds
- High dividend yields
- low P/E ratios
- more appropriate for conservative investors
Equity-income Funds
- High current income with long-term gains
- Blue-chip stocks
- Dividends
- Preferred stocks
- less risky
- less volatility
Balanced Fund
- Combination of stocks and bonds
- allocation typically remains constant
- relatively conservative
- diversified
Growth-and-income funds
- Stocks and bonds
- higher percentage in stocks than in a balanced fund
- more risky than balanced fund
- long-term capital appreciation with some income
- Moderate risk investment
Bond Funds
- More liquid than individual bonds
- Steady income
- some price volatility because of interest rates
- cannot be held to maturity
Money Market Funds
- Invest in short-term securities with maturities of less than 90 days
- interest rates move up and down with market rates
- cash substitute
SEC mandated yields
- SEC Yield - compares yields on bond funds
- Money Market funds 7 day yield
- Money Market funds 7 day compound yield
- Mutual fund 30 day yield
Asset Allocation Funds
- invest in stocks, bonds, and money market securities based on asset allocation
- age-based funds
International Funds
- International - exclude US
- Global - include US
- for CFP - conservative investor would want some international
Mutual Fund buy/sell
- Buy at offer (ask)
- Sell at NAV (bid)
Warrants
- written by a corporation
- in effect for years
- illiquid and nonstandarized
Fundamental (instrinsic) Value of a Call
(Market price of underlying security - strike price) * 100 shares
Fundamental value of a put
(Strike price - Market value of underlying security) * 100 shares
Option Premium
Price of the option
Time value of option
Difference between premium (price of option) and fundamental value of option
In-the-money
Call option - buyer: Market price greater than strike price
Call option - seller: Market price less than strike price
Put option - buyer: Market price less than strike price
Put option - seller: Market price greater than strike price
Out-of-the money
Call: Market price less than strike price
Put: Market price greater than strike price
Futures Contract
- Both seller and the buyer have an obligation to either make delivery of a good or purchase delivery of a good.
- All trading is done a margin basis
Call
- Option to buy a security at a certain price (strike or excersize price) at a certain point in time
- Person who buys the option is the long position
Put
- Option to sell a security at a certain point in time for a certain price (strike price)
- Person who buys the option has the long position
Option Writer
- Seller of the option
- short position
Naked Option
An option sold by a writer on a security the option writer does not own.
Unlimited loss; most risky option.
Portfolio insurance/Hedge/Married Put
- Buy a put option on one’s long position to protect price or
- buy a call option on one’s short position to protect sale
Value of an option
Value = price of option = premium
Intrinsic (fundamental) value + time value
If option is out of the money, intrinsic value is 0
Intrinsic Value
Amount an option is in the money. If out of the money, intrinsic value is 0.
Black-Scholes Option Pricing Model
- Value of a call option
- in - interest rate (risk free rate)
- V - volatility
- E - exercise price (inversely related)
- S - stock price
- T - time value
Long Straddle
- Buy a call and a put on the same stock at the same strike price
- Breakeven points are price changes above or below total premiums paid
- Used when volatility is expected
Short Straddle
- used when volatility is not expected
- appropriate in a flat market
- sell both a call and a put on the same stock at the same strike price.
Stock-index options
Options bought on entire market.
Warrant
- Option that gives a right to buy a stock at a specified price
- Issued by companies
- Can be long-term
- Non-standardized
- Can be added to a bond issue
- Not as liquid as listed options
- Valued the same way as options (intrinsic value plus time value)
Futures long/short position
Buyer of contract is long position
Seller of contract of short position
Characteristics of futures
- obligation to buy and sell
- to get out of contract, short the same contract.
- delivery price set by supply and demand
- bought on margin - leverage
- no limit on potential loss
- priced daily - “marked-to-market”
Futures Hedgers
- Producers and processors
- Protecting interest in underlying commodity or financial instrument
Futures speculators
- Investors who buy/sell futures contracts between origination and delivery
- provide liquidity for the market
Real Estate Advantages
- Hedge against inflation
- diversification
- Tax benefits - deduct mortgage interest, property tax
Income approach to real estate valuation
- The discounted present value of future cash flows.
- NOI/Cap rate
- NOI: (income less all expenses including vacancies) plus depreciation and interest expense (for CFP questions - depreciation and financing not generally included)
- Capitalization rate: required rate of return
- Gross income multiplier: sales price/annual gross income
REIT
- Closed-end diversified portfolio of real estate
- securitized real estate
- Must distribute 90% of income as dividends and must keep 75% of assets in real estate investments
3 types of REITS
- Equity REITs - own real estate
- Mortgage REITs - holds mortgages
- Hybrid REITs - holds both real estate and mortgages.
Gold
- Diversification
- Hedge against inflation
Guaranteed Investment Contract
- Guarantees a fixed or floating rate of return over a period of time.
- issued by insurance companies
- have higher rate of return than savings account
- purchasing power risk
Beta
security return/market return
Muni Bond Insurance Companies
AMBAC
MBIA
Tax-equivalent Yield
Yield a coporate bond must pay to be equivalent to a muni bond.
=Tax-exempt yield/ (1-marginal tax rate)
Tax-exempt yield
After-tax yield of corporate bond
=Corporate rate * (1-Marginal Tax Rate)
Bond discount
IF you see a discount: Call Mom’s Cell Now
YTC (highest)
Yield to Maturity
Current Yield
Nomimal Yield - coupon - (Lowest)
Black Scholes
Values a call option using the following variables:
- Price of underlying asset
- Time until call
- Volatility of underlying asset
- Risk free rate
Put Call Parity
Values a put option based on the price a of call option on that security
Binomial Pricing Model
- explains prices based on the underlying asset price moving in opposite directions; can be extrapolated out over time.
LEAPs
Long Term options.
- Term is up to 2 years.
- More expensive than regular options
Subsitution Swap
Designed to take advantage of anticipated and potential yield differentials between bonds that are similar with regard to coupons, rating, maturities, and industry.
Rate anticipation swaps
Rate anticipation swaps utilize forecasts of general interest rate changes.
yield pickup swap
The yield pickup swap is designed to alter the cash flow of the portfolio by exchanging similar bonds having different coupon rates.
tax swap
The tax swap replaces bonds with offsetting capital gains and losses.
Bottom up analysis
Detailed look at specific companies
Value managers and technicians do this.
Top down analysis
Analysts look at overall market conditions
Group Rotations and Market timers
Components of interest rates
- Real Risk-Free Rate
- Expected Inflation
- Default-Risk Premium
- Liquidity Premium
- Maturity Premium
Modified Duration
D/(1+y)
Registered Bonds
Pay interest to whoever is the registered owner
Investment grade bonds - lowest rating
Baa - Moody’s
BBB - S & P rating
Barbell strategy - bonds
Bonds for the portfolio are purchased with both long and short periods of time to maturity, with little in between
Weighted average Beta
Use dollar value of portfolio not number of shares.
12b1 fees
Used for marketing and distribution costs.
Limited general obligation bond
The limited general obligation bond is a bond issued by an entity that has some ability to levy taxes to support itself (for example, a school district). However, this ability is limited when compared to that of the general taxing power of the state.
Head of household - dependent
Can file HOH if dependent qualifies but doesn’t live with taxpayer.
Tax Payer subject to accuracy related penalty
- makes a substantial understatement of tax liability, generally more than 10 percent of the correct tax liability and
- at least a $5,000 tax deficiency.
Basis for property
All costs of making property ready for use are capitalized and added to basis.
(can include legal fees)
Medical Expense Deduction Non-dependent exception
Can deduct medical expenses paid on behalf of another individual who would qualify as a dependent except that his/her income is too high.
Life annuity with cash refund
Guarantees payments for life, but refunds principal amount to beneficiary if not fully distributed in life
Section 1244 stock
First $1M in stock issued by company. $50K/100K MFJ in losses can be deducted against OI.
Financial Risk
It is the possibility of loss due to the overuse of debt financing for a company
Put Bond
the bondholder has the right to sell the bonds back to the issuer at a specified date for its principal.
point-in-time risk
uncertainty that the initial portfolio returns may have a drastic effect on the likelihood of the portfolio successfully providing the income required for the client’s lifetime