Investment Planning Flashcards
What’s the IV of an Option
What an option is worth, can’t EVER be less than zero
- it’s either nothing, or something
COME
- Call Option, Market - Exercise
•(CMV of stock - Exercise Price of Option)
POEM
- Put Option, Exercise - Market
“COME read my POEM”
What is the Time Value of an Option
The difference between an options Premium Price and it’s Intrinsic Value
Gets close to zero the closer an option is to expiring
What type of indicators are the changing of stock prices?
A leading indicator, according to the conditions of an efficient market
What are some differences between CAPM & Arbitrage Pricing Theory?
CAPM
- shows a linear relationship between risk and return
- suggests the only factor that explains returns is a stocks beta
APT (arbitrate pricing theory)
- suggests relationship between a stocks risk/return is not linear
- a stocks price depends on variables other than market returns and volatility of returns
What is the Coefficient of Variation?
CV is a relative measure of TOTAL RISK per unit of EXPECTED return
CV = stand. dev. / exp. return
What are the similarities/differences of Sharpe/Treynor ratio?
Similarities
- measure of risk adjusted performance
- bigger is better
- “like MPH” -> measures how far you go by how fast you are (120 mph > 60 mph)
Differences
- Sharpe -> TOTAL risk (standard deviation)
- Treynor -> systemic risk (beta)
In a diversified portfolio, both equations should yield the same result
What type of index is the DJIA?
Price weighted index
- takes sum of prices of securities in the index / predetermined divisor
- does not account for stock splits and dividends
30 stocks, mostly blue chip companies
What type of index is the S&P 500?
Cap Weighted Index
- automatically adjusts for splits and dividends
500 large cap stocks
Used as benchmark for large cap equity
What type of index is the Russell 2000?
Cap weighted
Benchmark for small cap companies
Subset of Russell 3000
- R3K -> benchmark for total US market
What type of index is the MSCI EAFE?
Cap weighted
Index for international securities
What type of index is the Wilshire 5000?
Cap weighted index
Measures the US broad market as a whole (total market)
5000 US Headquartered equity securities (similar to R3K)
What’s Alpha?
Measures risk adjust value added by a portfolio manager.
- average return - expected return (CAPM formula)
Uses beta
What is the information ratio?
Ratio of the expected return to risk as measured by standard deviation
Measures the consistency w/ which a manager beats a benchmark
“Bigger is better” (like sharpe/Treynor)
IR = (portfolio % - benchmark %) / SD of asset
What’s the tax equivalent yield equation?
TEY: Muni -> Corporate
• R% / (1 - tax bracket)
• “MDC” (muni divide corporate)
TEY: Corporate -> Muni
• R% * (1 - tax bracket)
* “CMM” (Corp multiply muni)
What are futures contracts?
Futures -> a contract between 2 parties to make/take delivery of a specific commodity/asset of a specified quantity at a future time/place/unit price
“The future is known” -> you know the time, place, price, asset, and other party
What is a long and short hedge for futures?
Short hedge
- short futures to hedge a long futures position
- you own the underlying asset and want to protect from falling price
ex) a farmer is long wheat, hedges with short position
Long hedge
- long futures to hedge a short position
- you don’t own the underlying
ex) furniture manufacturer uses wood to make chairs, is short wood; hedge their position w/ long futures contracts
What is the Black-Scholes option valuation model?
Estimates the price of European call option
- “the black-scholes Forrest is in Europe”
Assumes price of option will change on basis of movement of the underlying stock
What does it mean to be positively or negatively skewed?
Positively skewed
- tail skewed to the right (longer tail to right)
- peak to left
Negatively skewed
- tail to the left
- peak to right
What does kurtosis, leptokurtic, platykurtic mean?
Kurtosis
- measures weather a distribution is more or less peaked than normal distribution
Leptokurtic
- more peaked than normal distribution
- for investors who want to minimize volatility
Platykurtic
- less peaked than normal
- has large distributions from the mean
- “platypus’s love volatility”
How do you calculate standard deviation w/ returns of a stock on a calculator?
- %, (+/- if necessary), Σ+
- … (repeat as necessary)
- SHIFT, 8 (Sx, Sy)
How to calculate a portfolio beta for 4 stocks, the long way?
S1 - FMV, S1 β, product (fmv*β)
S2 - …
S3 - …
S4 - …
Add FMV together, add product together
Divide total product by total FMV = weighted portfolio beta
How to calculated portfolio beta for 4 stocks, the short way?
- S1 β, INPUT
- S1 FMV, Σ+
- … (repeat as needed)
- SHIFT, 6 (xw, β)
Can use either full FMV or shortened (5000 or 5 for $5000 fmv)
What is semi-variance?
The downside volatility of an investment
- the variability of returns below the average or expected return
The lower semi variance the lower the chance of the security incurring a substantial loss in value
What’s the equation for holding period return?
(Ending Value - beginning value +/- cash flows) / beginning value
OR
[(1 + %1)(1 + %N)…] - 1
What is the equation for Arithmetic Mean?
(%1 + … + %N) / N
Does NOT account for compounding interest
What’s the formula for the Geometric mean?
N-sq. root((1+%1)…(1+%N)) - 1
OR
N-sq. root(HPR +1) - 1
Accounts for avg compounding return OR the internal rate of return
What is the time weighted return and what does it measure?
It’s the geometric annual rate of return measured on the basis of the current year value of the asset
- measures the rate of return w/o considering the investors size or timing of funds
PREFERRED METHOD FOR ANALYZING THE PERFORMANCE OF A PORTFOLIO MANAGER
- “managers have TIME”
Reports the RoR of mutual funds
What’s the dollar weighted return and what does it measure?
It measures the compounded annual rate of return (IRR) that discounts a portfolios future value and cash flows to a present value
MEASURES THE ACTUAL PERFORMANCE OF AN INVESTOR RATHER THAN A PORTFOLIO MANAGER
- investors measure their DOLLARs
What’s the way to calculate the weighted average return of a portfolio (3 stocks), the long way?
- S1 market price, S1 %, S1 product (CMP*%)
- S2 …
- S3 …
- Add total market price, add total product
- total product / total market price = weight avg return
What’s the way to calculate the weighted avg return of a portfolio (3 stocks), the short way?
- S1 %, INPUT
- S1 market price, Σ+,
- … (repeat as needed)
- SHIFT, 6 (xw, β)
- it uses the same key to determine weighted beta
What’s the equation to determine the price at which a margin call will be triggered?
(CMP * Margin %) / (1 - Maintenance %)
ex) CMP of $25 with margin req of 50%, maintenance of 35%
(25 * 50%) / (1 - 35%) = 12.5/0.65 = $19.23
A margin call will be triggered at $19.23 or lower
OR -> [(1-margin %)/(1-maint.%)]*purch price
• .5/.65 = 0.7692 * $25 = $19.23
Ex) Stock price is $25; margin is 50%, maintenance is 35%; stock price drops to $15. How much $ will the investor have to deposit to meet the margin call?
Required Equity - Current Equity = Amount needed
1) Required Equity
• $15 current price * 35% maintenance = $5.25 required equity
2) Current Equity
• $15 price - $12.50 loan amount ($25*50%) = $2.50 current equity
3) Difference
• $5.25 - $2.50 = $2.75 amount required
- $2.75 will have to be multiplied to the amount of shares owned
What is portfolio immunization?
Bond portfolio duration is equal to the amount of years until the goal
Protects portfolio against reinvestment risk and interest rate risk
What should bond holders do when rates are projected to rise, or begin to rise?
Move from long term to short term bonds
- price of the long term bonds will decline, long term bonds are more susceptible to IR swings