CFA Level3 Flashcards
Geometric Smoothing
Determines foundation distributions partly by Beginning MV X distribution % and partly as previous distribution increased for inflation, this creates a less volatile distribution %
Output gap
Below trend line growth and associated with a declining rate of inflation
Taylor Rule
Forecast the next change in ST rates
R target = policy neutral ST rate + 0.5 (expected inflation - target inflation) + 0.5 (expected GDP - trend GDP growth)
Cobb Douglas (CD) Production Function
Change Y/Y = Change A/A + a(Change k/k) + (1-a)Change L /L
Y = real output
A = total factor productivity
a = output elasticity
Solow Residual
Estimating TFP
Change in A = Change in Y - a(K) - (1-a)(L)
Total Factor Productivity (TFP)
labor + capital + technology
Measures the ability of an economy to produce more real output for the same inputs of labor and capital
Fed Model
S&P earnings yield (E/P) / 10 year treasury yield
Yardeni Model
Fair EY = E1 / P0 = Yb - d(LTEG)
Tobin’s Q
asset market value / asset replacement cost
MV of debt + MV of equity / asset replacement cost
Grinold-Kroner Model
Expected income return + expected nominal earnings growth + repricing return
(D1/P0 - change S) + (i + g) + change in P/E
Macaulay Duration
PV weighted average of when cash flows are to be received; less than maturity for a coupon bond
Modified Duration
Macaulay divided by (1 + discount rate)
Effective Duration
Takes into account embedded options
Key rate duration
Price sensitivity to specific points on the yield curve
Components of Fixed Income return
- Yield income (coupon / price)
- Rolldown return (projected ending / beg price) - 1
- Manager predicted price change based on D,C, and spread change
- Projected credit losses
- Projected foreign currency G/L
Duration Gap
BPVa - BPVl
Rules for Immunizing a single liability
- Initial PVA >= PVL
- Portfolio Macaulay duration Da = Dl
- Minimize portfolio convexity (min dispersion of asset cash flows around the liability and reduce risk to curve reshaping)
Money Duration (BPV)
BPV = MD * V * .0001
MD = Modified Duration
V =
Adjusting the Duration Gap
Target - Current / Instrument
Total Return Mandates (3)
Do not seek to fund future liabilities but may target an absolute rate of return
- Pure Indexing
- Enhanced Indexing
- Active Management
Collar
Long and short position in an out of the money call and put
Enhanced Indexing
Matching index duration but allowing deviations in other exposures
Key Rate Duration
Controls both interest rate and yield curve risk
Matrix / Evaluated Pricing
Price of similar, traded bonds is captured and used to calculate YTM
Modified Duration
Minimize tracking error due to parallel shifts in the yield curve
Change in value = -MD Change in rates
Key rate duration
Minimize tracking error due to nonparallel changes in the yield curve
Multiple key rates for single points in the yield curve = -D* change in rates
Advantages of a Laddered Bond Portfolio
- Natural liquidity
- Broadest diversification of cash flow across time and yield curve
- Diversification between price and reinvestment risk
- More convexity than the bullet, benefit from large parallel shifts
- Falls in middle of non parallel shifts
Strategies for an unchanged (Upward Sloping) Yield Curve (5)
- Buy and Hold
- Riding the yield curve
- Selling Convexity
- Carry Trades
Buy and Hold
Higher return by shifting to higher duration, buying duration risk to enhance portfolio yield under the assumption rates will remain stable
Selling Convexity
In a stable rate environment, increase portfolio returns by reducing the portfolio convexity below the benchmark
- Sell calls and sell puts
- Buy callable bonds and MBS (negative convexity)
Carry Trade
Buying a security at a higher yield and financing the purchase by borrowing at a lower interest rate
- Do best in stable markets can be very risky in highly volatile markets
Interest Rate Parity
Higher yield currency will trade at a forward discount to the lower yield currency
Crowding Risk
Mass effort to unwind a trade
Strategies for Changes in Level, Slope, or Shape of the Yield Curve
- Adjusting duration
- Increasing convexity
- Bullet, laddered and barbell strategies
Rolldown price
Price in 12 months + yield / spot interest rate
Holding Period Return
(Projected Price + coupon) / beginning price