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