Investment Planning Flashcards
What is the formula for Modified Duration?
D/ (1+(y/n)
What is the relationship between durational and coupons sensitivity to changes in rate?
Higher coupon and shorter duration, lower sensitivity to changes
Lower coupon and longer duration, higher sensitivity to changes
What is the linear estimate that tends to overestimate the impacts on prices?
Duration
what is a more accurate indicator in changes in Bond price than duration?
Convexity
What is the calculation formula for a change in bond price based on hypothetical rates?
-D ((Change in Yield/ (1+Yield))
What is the formula for duration of a bond
1+ Y/ Y
Long hand - [(1+Y) + T( C-Y)]/[1+y)^t - 1) + y
What plots the rates of fixed income securities?
The yield curve
What 3 forms can the yield curve take?
- upward sloping (positive/normal) ST<LT rates
- Flat ST similar to LT rates
- Downward sloping (negative/inverse) ST> LT rates
What does an inversion in the yield curve indicate?
looming recession
What 2 things is the yield curve a function of and how does the short and long end react?
The business cycle and Fed policy
Short end - sensitive to Fed policy
Long end - market rate, predicts economic conditions
What is the present value of a bond given current market conditions and characteristics?
Intrinsic value
What 4 things are a function of valuation of a bond?
1.Coupon payments
2. Market value of interest for comparable bonds
3. Amount of time remaining to maturity
4. Maturity value ( par value - always 1k unless stated)
What is the order of yields for premium and discount bonds?
Teeter totter
Premium YTC - YTM - CY - Coupon(nominal)
Discount Coupon(nominal) - CY - YTM - YTC
What is the stated or coupon yield of a bond?
the nominal yield
What is the annual income paid by a bond dividend by the current market price?
The current yield
What is used to estimate sensitivity of a bond to changes in rates?
Duration
What is yield to worst?
The lesser of YTM or YTC
The appropriate yield to make an investment decision on
What calculates, on a TVM basis, the time to recoup your money on a bond investment?
Duration
What is the weighted average of the present value of future cash flows of a bond?
Duration
For normal income producing and zero-coupon bonds, what is the duration relationship to maturity?
Normal income - Duration will always be less than maturity
Zero-coupon bonds - will always be the same
What does a higher coupon mean for duration?
Shorter duration
How does duration estimate changes in bond prices?
1% change in interest rate would result in duration as a % change in bonds price
What does duration tend to do for risk in rising and lowering interest rate environments?`
Rising - overestimates risk
Lowering - underestimates benefits
What does matching duration of a fixed income portfolio to an investors time horizon do?
Immunizes the assets
Reduces purchasing power and reinvestment rate risk
How do you find R^2 if correlation coefficient is given?
Square it ( multiply by itself)
What measures how closely the performance at an asset can be attributed to performance of benchmark?
R^2
What type of distribution curve is more peaked than normal?
Leptokurtic
What type of efficient frontier curve do risk averse investors have?
Steep
What are points below the efficient frontier curve deemed?
Inefficient
What are the 2 main financial markets?
- Money Markets
- Capital Markets
What is a statistical measure that describes when a distribution is more or less peaked than normal?
Kurtosis
What is the Sharpe ratio formula? (provided on the CFP formula sheet for test)
(Rp - Rf) / SD
What is the formula for the Jensen’s Performance Index (Alpha)? ( provided on the CFP formula sheet for test)
Rp - [Rf+ (Rm-Rf)B
What is the formula for the CAPM and the 2 components within it? (provided on exam sheet)
Rf + (Rm-Rf)B
Market risk premium= Rm-rf
Stock premium = (rm-rf)B
What ratio measures the risk-adjusted performance of a portfolio in terms of Standard Deviation?
The Sharpe ratio
When is it appropriate to use the Sharpe ratio?
When R^2<.7
What is a Sharpe ratio useful for?
To compare against other investment Sharpe ratios
What does a higher Sharpe ratio mean?
A higher risk-adjusted rate of return
What measures the risk adjusted performance of a portfolio manager using beta?
The Treynor ratio
When is it appropriate to use the Treynor ratio?
R^2 > .7
What does a higher Treynor ratio mean?
Higher risk-adjusted rate of return
What is the Treynor ratio formula? [ Provided on CFP formula sheet]
(Rp-Rf)/Bp
uses beta instead of Standard deviation as in the Sharpe ratio
What is used to quantify expected return given a market return and a Beta to the Market? Also quantifies investors required rate of return
Capital Asset Pricing Model (CAPM)
What is CAPM used to plot?
Security market line (SML)
How do you determine Alpha given CAPM?
Subtract CAPM from the actual return
What is the excess return of an investment relative to a benchmark?
Alpha
What is used to measure/evaluate the benefit of a portfolio mangaer?
Alpha (Jensen’s performance index)
When is Alpha valid?
R^2 > .7
Is Alpha an absolute or relative value?
Absolute
What is the difference between absolute and relative value?
absolute measures intrinsic value without comparing to others, relative compares.
What are the 3 plot points of alpha on the security market line?
Above 0 - good (better than expected)
On 0- Good (expected)
Below 0 - Bad (less than expected)
What 3 attributes are used to differentiate the different forms of Efficient market theory?
- Insider information
- Technical analysis
- Fundamental analysis
What are the three forms of efficient market theory?
- Strong
- Semi-strong
- Weak
What theory states that the stock market is efficient and all stocks reflect all relevant information and are priced in equilibrium?
Efficient market theory
What are points above the efficient frontier curve deemed?
Impossible
Which of the 3 forms of Efficient market theory have access to technical analysis?
None
In a normal distribution curve what are the 3 different probability levels for standard deviation?
68%
95%
99%
Remember the curve is symmetrical
What is used in probability analysis of expected returns around an average return?
Normal distribution curve
What 3 factors influence an investors capacity for risk?
- Time horizon
- Liquidity needs
- Total investable assets
What is systematic risk quantified by?
Beta
What is the measurement for total risk?
Standard Deviation
What is the equation for total risk?
Systematic plus Unsystematic risk
What are the 5 unsystematic risks?
- Business
- Financial
- Default/credit risk
- Regulation
- Sovereignty
What are the 5 systematic risks?
PRIME
1. Purchasing power
2. Reinvestment
3. Interest rate
4. Market
5. Exchange rate
What are the 2 types of investment risk?
- Systematic (non-diversifiable)
- Unsystematic ( diversifiable)
When should use beta vs SD with regards to R^2?
Beta when R^2 < .7
Standard deviation when R^2 >.7
What kind of distribution curve is less peaked than normal?
Platykurtic