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Questions and Answers
What is a characteristic of a zero-coupon bond?
What is a characteristic of a zero-coupon bond?
What happens to the bond price when the market interest rate increases?
What happens to the bond price when the market interest rate increases?
What is the effect of a decrease in YTM on the bond price?
What is the effect of a decrease in YTM on the bond price?
What type of bond is issued by a state government or government agencies?
What type of bond is issued by a state government or government agencies?
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What happens to the bond price as time to maturity increases, if the coupon rate is higher than YTM?
What happens to the bond price as time to maturity increases, if the coupon rate is higher than YTM?
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What type of bond gives the seller the option to buy the bond back in the future?
What type of bond gives the seller the option to buy the bond back in the future?
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What reflects the market's required return on a bond?
What reflects the market's required return on a bond?
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What happens to the bond price when the yield to maturity increases?
What happens to the bond price when the yield to maturity increases?
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What is the characteristic of a bond that has a coupon rate lower than its yield to maturity?
What is the characteristic of a bond that has a coupon rate lower than its yield to maturity?
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What happens to the bond price as time to maturity decreases?
What happens to the bond price as time to maturity decreases?
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What is the term for the separate trading of registered interest and principal securities?
What is the term for the separate trading of registered interest and principal securities?
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What occurs when the present value of a bond is greater than the present value of its strips?
What occurs when the present value of a bond is greater than the present value of its strips?
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What type of risk occurs when interest rates decrease, and an investor can reinvest the coupons at the market yield?
What type of risk occurs when interest rates decrease, and an investor can reinvest the coupons at the market yield?
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What is the effect of inflation on bond prices?
What is the effect of inflation on bond prices?
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What is the risk of suffering a loss if an investor desperately needs to sell their bond before maturity?
What is the risk of suffering a loss if an investor desperately needs to sell their bond before maturity?
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Which type of bond is characterized by a coupon rate that is related to movements in inflation?
Which type of bond is characterized by a coupon rate that is related to movements in inflation?
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What happens to the bond price when the market interest rate falls, and the coupon rate is higher than the YTM?
What happens to the bond price when the market interest rate falls, and the coupon rate is higher than the YTM?
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What is the effect of a decrease in market interest rates on the YTM of a bond?
What is the effect of a decrease in market interest rates on the YTM of a bond?
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Which type of bond is characterized by a coupon rate that is lower than its YTM?
Which type of bond is characterized by a coupon rate that is lower than its YTM?
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What happens to the bond price when the time to maturity increases, and the coupon rate is lower than the YTM?
What happens to the bond price when the time to maturity increases, and the coupon rate is lower than the YTM?
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What is the relationship between the coupon rate and YTM when a bond is sold at a premium?
What is the relationship between the coupon rate and YTM when a bond is sold at a premium?
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What is the effect of a decrease in the time to maturity on the bond price, when the coupon rate is higher than the YTM?
What is the effect of a decrease in the time to maturity on the bond price, when the coupon rate is higher than the YTM?
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What happens to the bond price when the coupon rate is equal to the YTM?
What happens to the bond price when the coupon rate is equal to the YTM?
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What is the result of arbitrage opportunities being present in the market?
What is the result of arbitrage opportunities being present in the market?
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Which type of risk is negatively related to price risk?
Which type of risk is negatively related to price risk?
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What is the effect of a decrease in interest rates on reinvestment risk?
What is the effect of a decrease in interest rates on reinvestment risk?
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What happens to the total of the PV of interest and principle cashflows if arbitrage opportunities are absent?
What happens to the total of the PV of interest and principle cashflows if arbitrage opportunities are absent?
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What is the effect of an increase in YTM on the bond price, when the coupon rate is lower than the YTM?
What is the effect of an increase in YTM on the bond price, when the coupon rate is lower than the YTM?
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What is the characteristic of a bond with a coupon rate higher than its YTM?
What is the characteristic of a bond with a coupon rate higher than its YTM?
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What is the effect of a decrease in interest rates on price risk?
What is the effect of a decrease in interest rates on price risk?
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Which active trading strategy involves investing in a bond with a shorter time to maturity than the investment time horizon, with the intention of rolling over into a new bond at a higher return when interest rates increase?
Which active trading strategy involves investing in a bond with a shorter time to maturity than the investment time horizon, with the intention of rolling over into a new bond at a higher return when interest rates increase?
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What is the key assumption required for the rollover strategy to be effective?
What is the key assumption required for the rollover strategy to be effective?
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Which active trading strategy involves increasing or decreasing portfolio duration based on forecasted changes in interest rates?
Which active trading strategy involves increasing or decreasing portfolio duration based on forecasted changes in interest rates?
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What is the primary objective of riding the yield curve?
What is the primary objective of riding the yield curve?
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Which of the following is an example of a passive trading strategy?
Which of the following is an example of a passive trading strategy?
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What is the primary risk associated with the rollover strategy?
What is the primary risk associated with the rollover strategy?
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When would an investor use duration management to decrease portfolio duration?
When would an investor use duration management to decrease portfolio duration?
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When yields are stable or decrease, what happens to the bond price as its time to maturity decreases?
When yields are stable or decrease, what happens to the bond price as its time to maturity decreases?
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What strategy involves selling the bond before maturity to capture a capital gain?
What strategy involves selling the bond before maturity to capture a capital gain?
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On an upward sloping yield curve, what happens to the yield as the bond's time to maturity decreases?
On an upward sloping yield curve, what happens to the yield as the bond's time to maturity decreases?
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What is the main reason why the barbell strategy tends to be more successful than the bullet strategy?
What is the main reason why the barbell strategy tends to be more successful than the bullet strategy?
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When the yield curve is flattening, which strategy tends to outperform?
When the yield curve is flattening, which strategy tends to outperform?
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What happens to the barbell strategy when there are larger parallel changes in the yield curve?
What happens to the barbell strategy when there are larger parallel changes in the yield curve?
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When long-term rates are increasing (decreasing) by more than short-term rates when yields increase (decrease), which strategy tends to outperform?
When long-term rates are increasing (decreasing) by more than short-term rates when yields increase (decrease), which strategy tends to outperform?
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What is the primary advantage of the barbell strategy over the bullet strategy?
What is the primary advantage of the barbell strategy over the bullet strategy?
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What is the primary assumption of the rollover strategy?
What is the primary assumption of the rollover strategy?
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An investor expects interest rates to decrease in the future. What should they do to their portfolio duration?
An investor expects interest rates to decrease in the future. What should they do to their portfolio duration?
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What is the primary objective of riding the yield curve?
What is the primary objective of riding the yield curve?
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What is the primary risk associated with the rollover strategy?
What is the primary risk associated with the rollover strategy?
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What happens to the bond price as its time to maturity decreases, assuming yields are stable?
What happens to the bond price as its time to maturity decreases, assuming yields are stable?
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What is the key characteristic of the duration management strategy?
What is the key characteristic of the duration management strategy?
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Which of the following is NOT a characteristic of the passive management strategy?
Which of the following is NOT a characteristic of the passive management strategy?
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What is the primary objective of riding the yield curve strategy?
What is the primary objective of riding the yield curve strategy?
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Which strategy is more profitable when the yield curve is steepening and long-term rates are increasing by more than short-term rates?
Which strategy is more profitable when the yield curve is steepening and long-term rates are increasing by more than short-term rates?
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What happens to the bond price when its time to maturity decreases, assuming yields are stable or decrease?
What happens to the bond price when its time to maturity decreases, assuming yields are stable or decrease?
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Which strategy involves selling the bond before maturity to capture a capital gain?
Which strategy involves selling the bond before maturity to capture a capital gain?
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What is the primary advantage of the barbell strategy over the bullet strategy?
What is the primary advantage of the barbell strategy over the bullet strategy?
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What happens to the yield as the bond's time to maturity decreases on an upward sloping yield curve?
What happens to the yield as the bond's time to maturity decreases on an upward sloping yield curve?
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When the yield curve is flattening, which strategy tends to outperform?
When the yield curve is flattening, which strategy tends to outperform?
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What happens to the barbell strategy when there are larger parallel changes in the yield curve?
What happens to the barbell strategy when there are larger parallel changes in the yield curve?
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What is the primary assumption of the Pure Expectations Theory?
What is the primary assumption of the Pure Expectations Theory?
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An investor is subject to which type of risk when interest rates decrease and they can reinvest the coupons at the market yield?
An investor is subject to which type of risk when interest rates decrease and they can reinvest the coupons at the market yield?
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What happens to the bond price when the yield to maturity decreases, assuming the coupon rate is higher than the YTM?
What happens to the bond price when the yield to maturity decreases, assuming the coupon rate is higher than the YTM?
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What type of risk is associated with selling a bond before maturity at a discounted price?
What type of risk is associated with selling a bond before maturity at a discounted price?
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What happens to the bond price as time to maturity decreases, assuming yields are stable?
What happens to the bond price as time to maturity decreases, assuming yields are stable?
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What is the effect of inflation on bond prices?
What is the effect of inflation on bond prices?
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What is the primary objective of riding the yield curve?
What is the primary objective of riding the yield curve?
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What is the relationship between price risk and reinvestment risk?
What is the relationship between price risk and reinvestment risk?
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Which of the following statements about the yield curve is true?
Which of the following statements about the yield curve is true?
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According to the Pure Expectations Theory, what determines long-term interest rates?
According to the Pure Expectations Theory, what determines long-term interest rates?
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What is the main difference between the Liquidity Preference Theory and the Market Segmentation Theory?
What is the main difference between the Liquidity Preference Theory and the Market Segmentation Theory?
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What is the relationship between a bond's duration and its price sensitivity to interest rate changes?
What is the relationship between a bond's duration and its price sensitivity to interest rate changes?
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What is the implication of Macaulay's Duration?
What is the implication of Macaulay's Duration?
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Which of the following theories explains the shape of the yield curve?
Which of the following theories explains the shape of the yield curve?
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What is the characteristic of a bond with a higher duration?
What is the characteristic of a bond with a higher duration?
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What is the primary advantage of the Preferred Habitat Theory?
What is the primary advantage of the Preferred Habitat Theory?
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What is the primary purpose of convexity in bonds?
What is the primary purpose of convexity in bonds?
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Which of the following statements is TRUE about convexity and duration?
Which of the following statements is TRUE about convexity and duration?
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What is the effect of a higher time to maturity on a bond's convexity?
What is the effect of a higher time to maturity on a bond's convexity?
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Which of the following bonds would have a higher convexity?
Which of the following bonds would have a higher convexity?
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What is the primary advantage of the barbell strategy over the bullet strategy?
What is the primary advantage of the barbell strategy over the bullet strategy?
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When would an investor use duration management to increase portfolio duration?
When would an investor use duration management to increase portfolio duration?
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What is the primary risk associated with the rollover strategy?
What is the primary risk associated with the rollover strategy?
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What happens to the bond price when yields decrease, and the bond has a high convexity?
What happens to the bond price when yields decrease, and the bond has a high convexity?
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Which of the following strategies involves selling the bond before maturity to capture a capital gain?
Which of the following strategies involves selling the bond before maturity to capture a capital gain?
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Study Notes
Bonds
- Bonds are long-term debt securities issued by corporations and governments to raise capital.
- Investors pay the initial cost (face value) and receive periodic interest payments (coupon) and the face value back at maturity.
- Types of bonds include:
- Zero-coupon bonds: no interest payments, only face value at maturity.
- Convertible bonds: can be converted into a predetermined number of stocks.
- Indexed bonds: coupon rate is tied to inflation.
- Callable bonds: issuer can buy back the bond from the investor.
- Perpetual bonds: no maturity date.
- Treasury bonds: issued by the federal government.
- Municipal bonds: issued by state or local governments.
Bond Pricing and YTM
- YTM (Yield to Maturity) reflects the market's required return on the bond.
- If the market requires a higher return than the bond's coupon rate, the bond's price will drop (discount).
- If the market requires a lower return than the bond's coupon rate, the bond's price will increase (premium).
- Changes in market interest rates affect YTM and bond prices.
Relationship Between YTM, Coupon Rate, and Time to Maturity
- Premium bond: coupon rate is higher than YTM, sold at a price above face value.
- Discount bond: coupon rate is lower than YTM, sold at a price below face value.
- When YTM decreases, the bond price increases, decreasing the effective annual return.
- When YTM increases, the bond price decreases, increasing the effective annual return.
Characteristics of Bonds
- Par value bond: coupon rate equals YTM.
- Discount bond: coupon rate is lower than YTM.
- Premium bond: coupon rate is higher than YTM.
Strips
- Strips are separate trading of registered interest and principal securities.
- Investors can sell components of their bonds.
- Common in Treasury bonds (federal government).
- The total of the PV of interest and principal cashflows should equal the bond's face value price.
Arbitrage
- If PV Bond = PV of all Strips, no arbitrage opportunities present.
- If PV Bond > PV of all Strips, arbitrage opportunities are present.
- If PV Bond < PV of all Strips, arbitrage opportunities are present.
Risks
- Reinvestment risk: occurs when interest rates go down, and investors can reinvest coupons at a higher market yield.
- Price risk: occurs when interest rates go up, and investors are forced to sell before maturity.
- Inflation risk: inflation erodes bond returns, especially if investors are subject to price risk.
- Liquidity risk: investors may suffer losses if they need to sell their bond before maturity at a low price.
Bonds
- Bonds are long-term debt securities issued by corporations and governments to raise capital.
- Investors pay the initial cost (face value) and receive periodic interest payments (coupon) and the face value back at maturity.
- Types of bonds include:
- Zero-coupon bonds: no interest payments, only face value at maturity.
- Convertible bonds: can be converted into a predetermined number of stocks.
- Indexed bonds: coupon rate is tied to inflation.
- Callable bonds: issuer can buy back the bond from the investor.
- Perpetual bonds: no maturity date.
- Treasury bonds: issued by the federal government.
- Municipal bonds: issued by state or local governments.
Bond Pricing and YTM
- YTM (Yield to Maturity) reflects the market's required return on the bond.
- If the market requires a higher return than the bond's coupon rate, the bond's price will drop (discount).
- If the market requires a lower return than the bond's coupon rate, the bond's price will increase (premium).
- Changes in market interest rates affect YTM and bond prices.
Relationship Between YTM, Coupon Rate, and Time to Maturity
- Premium bond: coupon rate is higher than YTM, sold at a price above face value.
- Discount bond: coupon rate is lower than YTM, sold at a price below face value.
- When YTM decreases, the bond price increases, decreasing the effective annual return.
- When YTM increases, the bond price decreases, increasing the effective annual return.
Characteristics of Bonds
- Par value bond: coupon rate equals YTM.
- Discount bond: coupon rate is lower than YTM.
- Premium bond: coupon rate is higher than YTM.
Strips
- Strips are separate trading of registered interest and principal securities.
- Investors can sell components of their bonds.
- Common in Treasury bonds (federal government).
- The total of the PV of interest and principal cashflows should equal the bond's face value price.
Arbitrage
- If PV Bond = PV of all Strips, no arbitrage opportunities present.
- If PV Bond > PV of all Strips, arbitrage opportunities are present.
- If PV Bond < PV of all Strips, arbitrage opportunities are present.
Risks
- Reinvestment risk: occurs when interest rates go down, and investors can reinvest coupons at a higher market yield.
- Price risk: occurs when interest rates go up, and investors are forced to sell before maturity.
- Inflation risk: inflation erodes bond returns, especially if investors are subject to price risk.
- Liquidity risk: investors may suffer losses if they need to sell their bond before maturity at a low price.
Active Trading Strategies
- Active management involves forecasting yield curve changes to make investment decisions
- Investors must predict changes in interest rates to adjust their portfolio
Passive Trading Strategies
- Passive management involves a "buy and hold" approach, where investors hold bonds until maturity
- minimal effort required from investors
Duration Management
- Investors can adjust their portfolio duration based on forecasts of interest rate changes
- Increase or decrease portfolio duration to respond to expected changes in interest rates
Rollover Strategy
- Invest in a bond with a shorter tenure than the investment time horizon
- Expect interest rates to increase, allowing for reinvestment in a higher-yielding bond
- Only works if interest rates are forecast to increase
Riding the Yield Curve
- Invest in a bond with a longer time to maturity (TTM) than the investment time horizon
- Only works for upward-sloping yield curves
- Take advantage of the bond's increasing value as its TTM decreases
- Sell before maturity for a capital gain
Barbell and Bullet Strategies
- Bullet strategy: invest in bonds with similar maturity dates
- Barbell strategy: invest in low-risk, low-maturity bonds and high-risk, high-maturity bonds
- Both strategies can profit from changes in interest rates, but the barbell strategy is more successful due to convexity
- The barbell strategy is superior in cases of parallel shifts and flattening curves, while the bullet strategy is superior in cases of steepening curves
Active Trading Strategies
- Active management involves forecasting yield curve changes to make investment decisions
- Investors must predict changes in interest rates to adjust their portfolio
Passive Trading Strategies
- Passive management involves a "buy and hold" approach, where investors hold bonds until maturity
- minimal effort required from investors
Duration Management
- Investors can adjust their portfolio duration based on forecasts of interest rate changes
- Increase or decrease portfolio duration to respond to expected changes in interest rates
Rollover Strategy
- Invest in a bond with a shorter tenure than the investment time horizon
- Expect interest rates to increase, allowing for reinvestment in a higher-yielding bond
- Only works if interest rates are forecast to increase
Riding the Yield Curve
- Invest in a bond with a longer time to maturity (TTM) than the investment time horizon
- Only works for upward-sloping yield curves
- Take advantage of the bond's increasing value as its TTM decreases
- Sell before maturity for a capital gain
Barbell and Bullet Strategies
- Bullet strategy: invest in bonds with similar maturity dates
- Barbell strategy: invest in low-risk, low-maturity bonds and high-risk, high-maturity bonds
- Both strategies can profit from changes in interest rates, but the barbell strategy is more successful due to convexity
- The barbell strategy is superior in cases of parallel shifts and flattening curves, while the bullet strategy is superior in cases of steepening curves
Relative Valuation
- Asset prices are compared to similar assets in the market
- Standardized prices create price multiples
Bond Pricing
- As time to maturity decreases, bond price increases
- As time to maturity increases, bond price decreases
- When YTM decreases, bond price increases, reducing effective annual return
- When YTM increases, bond price decreases, increasing effective annual return
Reinvestment Risk
- Reinvestment risk occurs when interest rates decrease and bond prices are at a premium
- Investors benefit from higher yields and can buy at a discount
Price Risk
- Price risk occurs when interest rates increase and bond prices are low
- Investors are affected if they need to sell before maturity
- Investors benefit from lower yields and higher bond prices
Inflation Risk
- Inflation decreases bond prices and ultimately returns
- Inflation risk is relevant when investors are subject to price risk
Liquidity Risk
- Liquidity risk occurs when investors need to sell before maturity
- Investors suffer losses due to selling at a discounted price
Pure Expectations Theory
- Pure Expectations Theory assumes the current yield curve reflects investors' expectations of future short-term interest rates
- Yield curve slopes upwards if interest rates are expected to increase and downwards if interest rates are expected to decrease
Yield Curve Shapes
- Upward-sloping yield curve indicates expected stronger economic growth and higher inflation
- Inverted yield curve indicates expected slower economic growth or recession
- Yield curve shape is determined by market expectations of future interest rate movements
Liquidity Preference Theory
- Investors are compensated for time and risk
- Investors face reinvestment risk if they don't need to sell and price risk if they must sell
Market Segmentation Theory
- Investors have specific preferences for bond maturity
- Supply and demand shift yields for each market segment
Preferred Habitat Theory
- Investors have preferred bond maturities and may take alternative opportunities
- Investors consider investment duration, price risk, and tolerance
Duration
- Duration measures a bond's price sensitivity to interest rate changes
- Duration increases with time to maturity
- Duration is higher for bonds with lower coupon rates and lower YTM
- Duration has a positive relationship with price sensitivity to interest rate changes
Convexity
- Convexity measures the sensitivity of a bond's duration to changes in interest rates
- Convexity captures the non-linear relationship between a bond's price and yield
- Convexity increases with lower coupon rates, lower YTM, and higher TTM
- Convexity provides a more accurate estimate of price changes in response to interest rate movements
Duration and Convexity
- Duration and Convexity have a positive relationship
- Convexity is beneficial, providing more gains when yields decrease and less losses when yields increase
- Duration increases interest rate risk, while convexity is beneficial
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Description
Explore the world of bonds, including types such as zero-coupon, convertible, indexed, and callable bonds. Learn how bonds work and their characteristics.