Notes Flashcards
Cash and Money Market Securities
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Treasury Bills – Short term debt obligations of the U.S. government
4, 13, 26, and 52-week Treasury bills (T-bills) in denominations of $100 are auctioned regularly.
T-bills are sold at discounts with prices quoted as a percentage of the face value. Sold at a discount because they do not pay make any coupon payments
Example: A bill sold at 99.125 translates into $99,125 for $100,000 in par value. At maturity, T-bills pay the face amount. Thus, the investor would make $875 from this investment. -
Commercial paper – Firms (corporations) often issue short-term, unsecured promissory notes. Usually used to finance working capital or to manage their short term cash flow issues
- Typically issued in denominations of $100,000 or more.
- Maturities are 270 days or less (avoids SEC registration) and are often backed by lines of credit from banks.
- Maturities are often 45 to 90 days in length.
- Commercial paper yields are higher than T-bills yields of similar terms (slightly higher default risk and less liquid).
- Certificates of Deposit (CDs)
- Negotiable CDs (Jumbo CDs) - deposits of $100,000 or more placed with banks at a specific stated rate of interest.
- Can be bought and sold in the open market.
- Usually have slightly higher yields than T-bills because they have more default risk and less marketability.
- Repo agreements - Securities dealers use repurchase agreements (repos) to finance large inventories of marketable securities from one to a few days. The issuer or seller agrees to repurchase the underlying security at a specific price and specific date. The repurchase price is higher than the selling price. The securities being sold are the collateral. The return the lender gets is interest (repo rate)
- Banker’s acceptance - acts as a line of credit issued from a bank
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Eurodollars - deposits in foreign banks that are denominated in U.S. dollars (not registered with SEC)
- by contrast yankee bonds ARE registered with SEC
True/False: Commercial Paper with a maturity more than 270 days are not permitted under SEC regulations.
Answer: False. You just must register the commercial paper with the SEC if longer than 270 DAYS
Types of Fixed Income Securities
*U.S. Treasury Securities:
- Treasury notes are issued with maturities of two, three, five, and ten years.
- Treasury bonds are sold with maturities of thirty years.
- Treasury notes and bonds are coupon securities that pay interest on a semiannual basis.
- Treasury securities are default risk-free.
*Treasury inflation protected securities (TIPS) are inflation-indexed Notes and Bonds.
- Issued with terms of five, ten, and thirty years.
- Minimum purchase is $100 (through TreasuryDirect).
- The principal is adjusted for inflation, coupon rate is fixed.
- TIPS can provide protection from interest rate risk and purchasing power risk.
EXAMPLE
An institutional investor purchases $500,000 worth of five-year TIPS. The coupon rate on the note is 4.4%. The semi-annual coupon payment is $500,000 × (0.044 ÷ 2) = $11,000. Six months later the CPI increases by 2.1%. The principal is adjusted. The new principal can be computed as: $500,000 × 1.021 = $510,500The higher principal base causes the coupon payments to increase as well. The adjusted semi-annual coupon payment is now: $510,500 × (0.044 ÷ 2) = $11,231
Municipalities (states, counties, parishes, cities, and towns) issue bonds for operations or to finance public projects.
- The interest from municipal bonds is not subject to federal income tax (in some cases where a resident purchases an in-state bond issue, also not subject to state income tax).
- The yields on municipals are generally lower than that of U.S. Treasuries due to this tax treatment.
- The two common types of municipal bonds are general obligation bonds and revenue bonds
Corporate Bonds: Corporations raise funds by issuing both equity securities and debt obligations.
The benefits of using debt instead of equity include:
- No dilution of equity ownership
- Interest expense deduction
- Obtaining a lower cost of capital
Excessive amounts of debt increase the investor’s required return on equity.
Excessive debt can increase price volatility.
Fixed Income Securities - Mortgage Securities
Munis - GO vs. Revenue Bonds
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General Obligation Bonds - backed by the full faith and credit of the issuing body and are repaid through taxes.
- The proceeds of the bond are used for non-revenue generating projects, such as local roads, school systems, parks, etc.
- Revenue Bonds - issued to raise funds to finance specific revenue producing projects. They are not backed by the full faith and credit of the issuing body.
- Repaid from revenue generated from the project that was financed.
- Ex: toll roads with an existing toll revenues
Housing Ratios (1 and 2)
HR 1. Shouldn’t exceed 28%
Housing Ratio 1 = housing costs / gross pay
- housing costs include principal (or rent), interest, homeowners insurance, property taxes, and association dues (PIITA)
- the benchmark for housing ratio 1 is less than or equal to 28%
HR 2. Shouldn’t exceed 36%
housing costs + other debt payments/gross pay
- Housing ratio 2 combines basic housing costs with all other monthly debt payments, including automobile loans, student loans, bank loans, revolving consumer loans, credit card payments, and any other debt payments made on a recurring basis.
- The housing ratio 2 benchmark should be less than or equal to 36 percent of gross pay.
Housing Ratios (1 and 2)
HR 1. Shouldn’t exceed 28%
Housing Ratio 1 = housing costs / gross pay
- housing costs include principal (or rent), interest, homeowners insurance, property taxes, and association dues (PIITA)
- the benchmark for housing ratio 1 is less than or equal to 28%
HR 2. Shouldn’t exceed 36%
housing costs + other debt payments/gross pay
- Housing ratio 2 combines basic housing costs with all other monthly debt payments, including automobile loans, student loans, bank loans, revolving consumer loans, credit card payments, and any other debt payments made on a recurring basis.
- The housing ratio 2 benchmark should be less than or equal to 36 percent of gross pay.
Debt to Total Assets Ratio
- The debt to total assets ratio is a leverage ratio reflecting what portion of assets a client has financed or is owned by creditors.
- Formula = total debt/total assets
- This ratio is commonly as high as 80 percent for young people and as low as 10 percent or less for those near retirement age
Net Worth to Total Assets Ratio
- The net worth to total assets ratio provides the percentage of total assets owned or paid for by the client.
- Formula: net worth/total assets
Current Ratio
measure of a client’s ability to meet short term obligations
Formula = current assets/current liabilites
Emergency Fund
3-6 months non-discretionary living expenses (Ex: mortgage, food, car loan, property taxes, insurance premiums)
Emergenmcy Fund = current assets / monthly nondiscretionary expenses
Debt Ratios (General)
- Consumer debt payments should not exceed 20% of NET income
- Housing debt should be less than or equal to 28% of gross income
- Housing plus all other recurring debt should be less than or equal to 36% of gross income
Buying vs. Renting
Renting okay if client’s time in property will be short (1-3 yrs)
Buying okay if time frame will be longer, client wants to build equity, or they are in a high marginal tax bracket so makes sense for them to get the MI deduction
Mortgages - ARM
Adjustable Rate Mortgage (ARM)
appropriate when client’s time in property will be short (1-3 yrs)
A 2/6 one arm means the int. rate cannot increase more than 2% per year or 6% during the term of the loan
Reverse Mortgage
- homeowner receives a monthyly payment or lump sum from a bank while retaining the right to live in the house
- repayment of oustanding mortgage occurs at homeowner’s death
a reverse mortgage is appropriate to generate income for elderly homeowners
available if homeowner is 62 or older
Savings Ratio
Formuila: (Employee + ER contributions)/annual gross income
- benchmark savings rate: 10-12% of gross income if client starts savings before Age 32
- if client waits until 45 or 50, rate may be 20-25% of gross income
Forms of Underwriting
Best Efforts: underwrite agrees to sell as much of the offering as possible. Risk of issue not selling resides with the firm because shares not sold to public are returned to company
Firm Commitment - underwriter agrees to buy the entire issuance of stock from company. Ex: UW may buy the stock from company for $18 and then sell to public for $20 ($2 spread). Risk - resides with underrwiter.
Key Documents - Prospectus, Red Herring (preliminary prospectus - used to determine investor interest), 10K and 10Q, Annual Report
liquidity vs. marketablity
Liquidity =- how quick something can be turned into cash
Marketability - exists when there is a ready made market for something. Ex: real estate is marketable but not v liquid.
True/False: Dividends paid must be covered by a short seller
True,.
Margin
Initial Margin - reflects amount of equity an investor must contribution to enter a margin transaction. Reg T - initial margin is 50%.
Maintenance Margin - minimum amount of equity required before a margin call.
Margin accounts - investors can borrow funds from the broker to purchase securities
- initial margin - The investor must pay for a certain percentage of the cost of an investment. The minimum initial margin is 50% (set by the Federal Reserve)
- maintenance margin - the percentage equity the investor must maintain. The minimum maintenance margin is 25% (set by Federal Reserve).
An investors margin (equity) position is determined as follows:
Margin Position = account value - debt
account value
If stock price falls, then the equity position falls. If the equity position falls below the required maintenance margin, then a margin call will occur. The formula to determine the lowest the price can fall before receiving a margin call is:
Margin Call Price = debt_______\_
1 - maintenance margin
EXAMPLE 1
Monica purchases one share of stock on margin for $104. The initial margin is 50%. If the maintenance margin equals 35%, then Monica will receive a margin call if the stock falls below $80.
Margin call price = $104 - $52 = $80
1 - 0.35
If the stock price drops below the margin call price, the account owner must deposit sufficient funds to restore the account equity to the maintenance margin.
To determine the amount of the margin call:
- Determine how much $ equity is required
- Determine how much equity the investor currently has
The difference is the amount of the margin call.
Example 2:
Monica purchases one share of stock on margin for $104. The initial margin is 50%. If the maintenance margin equals 35 percent, then Monica will receive a margin call if the stock falls below $80. Assume now that the stock drops to $70 per share.
The margin call amount owed is $6.50 per share:
Margin Call Price Formula (not on CFP provided sheet)
Loan/(1- maintenance margin requirement)
Valueline vs. Mornisntstart
VL rates stocks, Morningstar rates MFs
**Dividend dates
- Typically paid quarterly
- Ex-dividend date - date stock trades without dividend. If you sell stock on the ex-div date, you will receive the div. If you buy on or after ex-div. you will not receive the div.
- record date - date on which you must be a registed shareholder to receive the div.
- date of record is one business day after the ex-date. Therefore, invsetor must purchase stock two businness day prior to date of record to receive div.
To receive dividend, an investor must purchase the stock prior to the ex-dividend date OR 2 business days before the date of record.*
Ex. MSFT Declares div payble to shareholder on record date of Wed. May 15th. What is last possible date an investor could purchase the stock and still receive the div?
Answer: May 13th. Ex-dividend date is May 14th.
Cash Dividends vs. Stock Dividends taxation
Cash divs are taxed upon receipt.
Stock dividends are not taxable to shareholder until stock is sold.
Securities Acts
Securities Act of 1933: regulated issuance of new securities (primary mkt)
requires prospectus to accompany new issues
Securities Act of 1934: (created SEC) regulates secondary market and trading of securiteis
Investment Company Act of 1940 - SEC regulation of investmetn companies (Open, Closed, UITs)
Investment Advisors Act of 1940: requires advisors to registeer with SEC of state
SIPC Act of 1970 - protects investors from loss due to BD failrue or fraud
Insider trading and Securites Act of 1988: insider = anyone with info that is not availibale to publich
Euro dolars
Investment Policy Statemetn
Establishes:
- client’s objective
- limitation on investment mgr
Used to measure investment mgr’s perf.
Investment policy statement does NOT include investment selection
IPS objectives: Return requirements (can be spcific to goal like retireeing at 55)
risk tolerance - important
IPS constraints - time horizon, liquidity, taxes, laws & Regs, uniqque circumstances
Remeber: IPS establishes RR TTLLU
Dow Jones is Price Weighted Index
Ex: There are three stocks in our ABC avg. and their values at $44, $60 and $100. Price weighted average would be $68
s&p 500
is a market cap weighted avg.
Russell 2000
a value weighted index of the smallest market cap stocks in the russell 3000
Wilshire 5000
broadest index that measures perf of over 3k stocks. Value weighted
EAFE
value weighted - EUrope Austrailia asia and far east
Behavioral Fiance makes the following assumptions:
- Ivnestors are Normal - they have needs and wants but may commit cogtnitive errors
- Markets are not efficient - there can be deviations in price from fundamental value. Markets are tough to beat, but they are not efficient
- Behavioral Portfolio Theory - investors seperate their money into different compartments
- Risk Lone does not determine returns - other factors like momentum and investors likes/dislikes about the stock or company
Standard deviation
used to determine TOTAL RISK of an UNDIVERSIFED portfolio
SD is a measure of risk and variability of returns
measures how much something moves around an average
-be prepared to calculate SD and use SD to determine probability of returns
Memorize 68, 95, and 99 dpeending on if return is +/- 1, 2, or 3 SD away from avg.
Calculting using sigma and sx,sy button
“Which of the following assets is most risky” = calculate the SD
Diversification (r-squared)
- In order to reduce risk (variability of returns) as measured by standard deviation (total risk that is undiversified) then combine assets with a correlation of less than 1
To determine how well-diversified a portfolio is, we also need to know what percentage of the fund’s return variation is associated with variation in the market’s return (R-squared/r=r2)
R-Squared: The Coefficient of Determination Indicates the reliability of the model or the reliability of Beta.
- R-squared indicates the percent of return is due to the market (when the portfolio is being compared to an index). How much of our risk is market risk?
R-squared is calculated by squaring the correlation coefficient.
Correlation = .8
R-squared = .64 or 64%
R-squared is a measure of how well diversified your portfolio is.
An S&P 500 Index Fund will have a r-squared = 100%
A Sector Mutual Fund will have an r-squared between 40-50%
In the process of adding new investments to a portfolio, the lowest correlation coefficient makes the best addition. Closest to negative one (-1) is always best.
Beta & R-Squared Implications (These have historically been tested by the CFP Board.)
- R-Squared will give us insight as to whether or not Beta is an appropriate measure of portfolio risk.
- If r-squared is greater than or equal to .70 then YES, Beta is an appropriate measure of risk.
- If r-squared is less than .70 then NO, Beta is not an appropriate measure of risk.
- As a general rule, .70 would be considered sufficient. But, the higher r-squared is, the more reliable Beta.
- Correlation of +1 = perfectly correlated, 0 = no correlation, -1 = negative correlation
- Coefficient of variation
- Coefficient of variation (CV) AKA covariance: A measure of relative risk when investments have different average returns. Useful when comparing assets with different returns and risk.
- The higher the CV, the greater the risk per unit of return.
CV = Standard Deviation
Avg. or Expected Return
An investor prefers the asset with the lower coefficient of variation because it’s less risk, for each unit of return (which also equates into more return per unit of risk).
Leoptokurtic vs Platyskurrtic returns
Leoptoskurtic - high peak and fat tails (higher chance of extreme events
Platykurtic - low peak and thin tails (lower change of extreme events)
Mean Variance Optimization
process of adding risky securities to a portfolio, but keeping the expected return the same. Balances of asset classes the provide lowest variance (as measured by SD)
In the process of adding new investments to a portfolio, the lowest correlation coefficient makes the best addition. Closest to negative one (-1) is always best.
Beta
The systematic risk of a portfolio is measured by its beta. A mutual fund beta is a weighted average of the betas of the assets in the portfolio.
- A fund that experiences price changes less dramatic than the benchmark portfolio has a beta that is less than one
- A fund that experiences price changes more dramatic than the benchmark portfolio has a beta that is greater than one
Beta measures systematic risk (cannot be diversified away - affects ALL stocks) only and is therefore only relevant when assessing the risk of a well-diversified portfolio (high r-squared).
*beta measures how did our portfolio change when the market changed?
Beta 1 = beta of the market
Beta less than 1 = less volatile than market
Beta greater than 1 = more volatile than market
bETA IS a measure of our systematic risk.
Best to use for a diversifed portfolio (high rsquared)
Systematic risks
Systematic risks are those that affect all securities. As such, they cannot be diversified away. it is market risk.
- Market risk - the tendency for changes in the market to influence stock prices. When the market is increasing, most stocks increase in value. Stocks tend to fall with declines in the market.
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Interest rate risk - When interest rates decrease, stocks tend to increase in value. When rates rise, stock prices fall.
- This is due to increased borrowing costs, attractiveness of alternative investments, and the valuation of securities.
Systematic Risks are ‘PRIME’ – Purchasing Power, Reinvestment Rate, Interest Rate, Market, and Exchange Rate. They are risks that affect all companies at the same time. (Ex: Inflation increasing,
Measured by a statistic known as beta.
Unsystematic Risks:
Unsystematic Risks: Risks that are unique to individual firms, industries, or countries. These risks can be diversified away, unlike systematic risks.
- Business risk - relates to the variability of a firm’s operating income. It is the riskiness of a specific business, which may include the firm’s operations, management style, and philosophy.
- Financial Risk - related to the capital structure of the firm. If a firm uses debt to finance the purchase of assets, it increases the financial risk of the firm.
- Country Risk – Many U.S. firms have international ties. Country risk is related to uncertainties due to international political and economic risks.
Unsystematic risks can be diversified away
Remember “A, B, C, D, E, F G”
Accounting, Business, Country, Default, Executive, Financial, Government/Regulation
Total Risk
- Total Risk = Systematic + Unsystematic RIsk
- Total risk is measured by standard deviation
- Systematic risk is measured by beta
covariance and correlation coefficient are both ____ measures of risk
Relative
Diversification benefits (risk is reduced) begin anytime correlation is
less than 1
Beta can be calucclated by
dividing the security risk premium by the market risk premium
Ex: if a fund had a return of 20% and the market has a return of 10% the beta is 2
Modern Portfolio Theory
Modern Portfolio Theory - the acceptance by an investor of a given level of risk while maximizing expected return objectives
Efficient Frontier - the cruve which illustrates the best possible returns that cuold be expected from all possible portfolios
Efficient Portfolio - occurs when an investor’s indifference ccurve is tangent ot eh efficient frontier
Optimal Portfolio - the one selected from all efficient portfolios
*Investors seek the highest return attainable at any level of risk
Remember, negatively correlated assets aren’t necesary to reduce risk, just
assets with correlation of less than 1
Capital Market Line
You may be asked what measure of risk the CML uses (which is standard deviation)
(Forumla is no longer on the provided sheet)
CML - is the macro aspect of the CAPM. It specifies the relationship between risk and return in all possible portfolios
A portfolio’s retur4ns should be on the CML (the CML becomes the new efficient frontier mixing in a risk free asset with a diversifed portoflio)
*Do not usse for individual securities - it is a measure of total portfolio rsk
Inefficient portfolios are below the CML.
Capital Asset Pricing Model (CAPM)
-calculates the relationship of risk and return of an individual security using the beta (b) as its measure for risk.
Also called the Security Market Line
*formula provided on sheet. Remember that the market risk premium is (rm - rf)
May be asked “what is the expected return” Use CAPM formula Pg. 38 of pre-study book (investmetn planmnign)
The SML uses as its measure of risk, while the CML uses __ as its measure
SML uses beta, CML uses SD.
Portfolio Performance Measures Treynor vs Sharpe vs Jensen;s Alpha
.
- f r-squared is equal to .70 or greater, then use Treynor and Alpha.
- If r-squared is less .70, then use Sharpe.
- R-squared indicates how reliable Beta is as a measure of total risk. If Beta is unreliable, then Treynor and Alpha are not reliable.
- Remember sharpe ratio is the only one that uses SD, and the others (treynor and jensesn’s alpha) use beta
Treynor ratio is a measure of how much return was achieved for each unit of risk. The higher the treynor ratio the better. is a relative measure of performance
Sharpe - a measure of portfolio performance using a risk adjusted measure that standardizes returns for their variability. Its a relative measure. A measure of how much return was achieved for each unit of risk. The higher the sharpe ratio the better. Measures risk premiums of the portfolio relative to the total amount of risk in the portfolio
Jensens alpha (AKA alpha) - a measure of ABSOLUTE performance against a . Distinguishes a manager’s outperformance. postive alpha = manager provided more return than was expected for the risk undertaken. negative alpha = maanger provided less return than was expected for the risk undertaken. Alpha of zero expected return= actual return relative to risk taken.
Remember that when measuring risk ___ is used for diversified portfolio, and ____ is for non-diversified portfolios
beta = diversified portfolios (treynor and jensens alpha), standard deviation = non-diversified portfolios (sharpe ratio)
A portfolio is considered NOT well-diversified when r-ssquared is less then ____. then ____is not an appropriate measure of risk.
R squared less then 70 = not well diversified, so BETA is not an appropriate measure.
Holding Period Return (HPR)
Holding Period Return (HPR)
- A measure of return that includes:
- Capital appreciation or loss
- Current income
- It is the return earned over a specific period of time
- HPR is most meaningful if holding period is one year
HPR = [Selling Price - Purchase Price +/- Cash Flows/Dividends]
Purchase Price
- Very simplistic measure, but entirely appropriate for one year investment.
- HPR does not directly address the time over which the investment is held.
- HPR ignores the riskiness of the investment and ignores time value of money
- memorize formula (not on sheet)
- hint: add dividend to numerator, subtract margin int. paid from numerator
- Look at pg. 50 in prestudy book (investment planning)
Arithmetic Mean Return
- Arithmetic mean is a simple average return, but it does not account for compounding.
- Assume the following returns:
- Year 1: 2%
- Year 2: 4%
- Year 3: 6%
- Year 4: 8%
What is the Arithmetic Mean Return?
(2% + 4% + 6% + 8%) ÷ 4 = 5%
- The disadvantage to the Arithmetic Mean is that it doesn’t take compounding into account.
The geometric (mean) is a compounded rate of return.
n√[(1+r1) x (1+r2) x … (1+rn)] - 1
GM = Geometric Mean | n = number of returns | r = actual return
What is the Geometric Mean?
Assume these returns over 3 years:
- Year 1: 12%
- Year 2: 5%
- Year 3: <2%>
So, the initial $1 investment would be worth $1.1525 in 3 years given the returns. Now use the TVM keys to solve for i (return).
N = 3
i = ? = 4.844%
PV = <1>
PMT = 0
FV = 1.1525
Look at Pg. 54 for cash flow keys
Weighted Average
- can be used to calculate a weighted avg. share price, expected returns, beta or duration (process is same for everything)
Janis has a portfolio worth $30,000 consisting of three stocks. The expected return for each stock is given, along with its proportionate value of the portfolio. What is the expected return for the portfolio?
Stock Expected Return Value
A 10% $15,000
B 5% $5,000
C 12% $10,000
Step 1
Determine the total value of the investment portfolio:
$15,000 + $5,000 + $10,000 = $30,000
Step 2
Determine the weighting of each investment:
Stock A: $15,000 / $30,000 = .50
Stock B: $5,000 / $30,000 = .167
Stock C: $10,000 / $30,000 = .333
Step 3
Multiply the stock weighting by the expected return:
Stock A: .50 x .10 = .05
Stock B: .167 x .05 = .0084
Stock C: .33 x .12 = .040
Step 4
Sum the weighted expected return:
.05 + .0084 + .040 = .0984 or 9.84%
IRR
Internal Rate of Return
- The internal rate of return (IRR) is the earnings rate of a series of cash inflows and outflows over a period of time assuming all earnings are reinvested. It equates discounted future cash flows to the present value of an asset.
Look at Pg.59
PV = the present value of the cash flows
- CFn = the cash flow that occurs at period n
- i = the rate at which it makes the equation true (referred to as IRR)
Arbitrage Pricing Theory
- asserts that pricing imbalances cannot exist for any significatn period of time, otherwise investorts will exploit the price imbalance until the market prices are back to equilibrium
- attempt to explain return based on factors
- attempts to take advantage of pricing imbalnces
- standard deviation and beta are NOT input variables into the APT formula
Dividend Discount Model (Constant Growth Div. Discount Model)
Formula is provided on CFP formula sheet.
Make sure to use next year’s dividend when determining the value of stock using the constant growth dividend formula
Values a stock by discounting the future stream of cash flow
Formula = D1/(r-g)
where D1 = next expected dividne
r= required rate of return
g = dividend growth rate
D1 is calculated by D0(1+ g)
D1 is calculated using the current div. and dividing growth rate
P. 65 & Pg. 66 pre-study