Yield-Based Bond Duration Measures and Properties
50 questions available
Key Points
- Sources of return: Coupons, Reinvestment, Capital Gains/Losses.
- Macaulay Duration: Weighted average time to cash flows.
- Modified Duration: Percentage price change for a unit change in yield.
- Effective Duration: Required for bonds with embedded options.
Key Points
- Duration increases with Maturity.
- Duration decreases with higher Coupon Rate.
- Duration decreases with higher YTM.
- Money Duration = Modified Duration * Full Price.
- PVBP measures price change for 1 basis point shift.
Key Points
- Zero-Coupon Bond Macaulay Duration = Time to Maturity.
- Perpetual Bond Macaulay Duration = (1 + r) / r.
- Floating-Rate Note Duration = (Time to Reset) / (Total Period).
Questions
Which of the following is NOT one of the three sources of return for a fixed-rate bond investor?
View answer and explanationFor an investor's yield-to-maturity at purchase to equal their realized rate of return, which assumption must hold?
View answer and explanationUncertainty about the price at which a bond can be sold prior to maturity is best described as:
View answer and explanationIf an investor has a shorter investment horizon, which risk is dominant?
View answer and explanationMacaulay duration is best defined as:
View answer and explanationIf a bond pays coupons semiannually, how is the annualized Macaulay duration obtained?
View answer and explanationModified duration is primarily used to measure:
View answer and explanationWhich duration measure is most appropriate for bonds with embedded options like callable bonds?
View answer and explanationCalculate the approximate Modified Duration if a bond price drops from 100 to 98 when the yield rises by 50 basis points, and rises to 102 when the yield falls by 50 basis points.
View answer and explanationWhat is the relationship between Macaulay duration and Modified duration for an annual coupon bond?
View answer and explanationHow does the duration of a bond typically react to an increase in maturity, holding other factors constant?
View answer and explanationHow does an increase in the coupon rate affect a bond's duration?
View answer and explanationHow does an increase in the Yield-to-Maturity (YTM) affect a bond's duration?
View answer and explanationFor a callable bond, how does duration compare to a non-callable bond when yields are low?
View answer and explanationMoney Duration is defined as:
View answer and explanationA bond has a Modified Duration of 6 and a full price of 1050. What is the Money Duration?
View answer and explanationThe Price Value of a Basis Point (PVBP) represents the change in bond price for what magnitude of yield change?
View answer and explanationIf the Money Duration of a bond is 6300, what is the estimated change in the bond price for a 0.5 percent change in yield?
View answer and explanationWhat is the Macaulay duration of a zero-coupon bond?
View answer and explanationWhat is the Macaulay duration of a perpetual bond with yield r?
View answer and explanationWhich bond has a Macaulay duration equal to (T - t) / T, where T is the time between resets?
View answer and explanationWhy do floating-rate instruments generally offer low interest rate risk to investors?
View answer and explanationIf a bond's modified duration is 5.0, what is the approximate percentage change in price for a 1 percent increase in yield?
View answer and explanationWhat is the key difference between Modified Duration and Effective Duration regarding cash flows?
View answer and explanationFor a Putable bond, how does duration behave when yields are high?
View answer and explanationOptionality of a bond will generally _________ the duration compared to an option-free bond.
View answer and explanationWhich duration metric calculates the percentage change in the full price of a bond?
View answer and explanationIf a bond has a Money Duration of 5000 and the yield changes by +0.01% (1 basis point), what is the change in price?
View answer and explanationIn the formula for approximate Modified Duration, V_minus refers to:
View answer and explanationWhich risk balances coupon reinvestment gain/loss against price loss/gain for a one-time parallel shift?
View answer and explanationGenerally, the 'price risk' of a bond is higher when:
View answer and explanationReinvestment risk matters more when:
View answer and explanationThe difference between Macaulay duration and the investment horizon is known as the:
View answer and explanationIf the Duration Gap is positive (Macaulay Duration > Investment Horizon), the investor is primarily exposed to:
View answer and explanationIf a zero-coupon bond has 10 years to maturity and a yield of 10%, what is its Modified Duration?
View answer and explanationFor a floating-rate note with a 180-day coupon period and 57 days elapsed since the last reset, what is the approximate Macaulay duration?
View answer and explanationWhat is the primary reason floating-rate instruments are useful in portfolio management?
View answer and explanationWhich bond type always has a Macaulay duration equal to its time-to-maturity?
View answer and explanationCalculate the PVBP for a bond with a Money Duration of 450,000.
View answer and explanationIf yield volatility is high, which duration measure is most critical for a callable bond?
View answer and explanationA bond's full price is 100. Its Modified Duration is 8. If the yield rises by 50 bps, the price is expected to:
View answer and explanationWhy is the duration of a perpetuity not infinite?
View answer and explanationWhich bond has the highest interest rate risk (duration), assuming equal yields and coupons?
View answer and explanationWhich bond has the highest interest rate risk (duration), assuming equal maturity and yield?
View answer and explanationIn the context of Money Duration, the term 'Dollar Duration' is synonymous with:
View answer and explanationIf a bond's price increases by 4 when yield falls by 1%, what is the Modified Duration approx?
View answer and explanationWhat does a PVBP of 0.625 imply?
View answer and explanationFor a fixed-rate bond, reinvestment risk is strictly:
View answer and explanationIn the formula used for calculating Modified Duration from prices (V-, V+, V0), the divisor includes '2 * V0 * Delta_Yield'. Why is the factor '2' included?
View answer and explanationWhich bond property leads to 'negative convexity' behavior where duration falls as yields fall?
View answer and explanation