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Questions and Answers
What is the primary purpose of bonds?
What is the primary purpose of bonds?
What happens to the price of a bond when the market requires a higher return than the bond's coupon rate?
What happens to the price of a bond when the market requires a higher return than the bond's coupon rate?
What is the characteristic of a zero-coupon bond?
What is the characteristic of a zero-coupon bond?
What type of bond is issued by a state government or government agency?
What type of bond is issued by a state government or government agency?
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What happens to the YTM when market interest rates rise?
What happens to the YTM when market interest rates rise?
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What is the purpose of the YTM in bond pricing?
What is the purpose of the YTM in bond pricing?
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What happens to the bond price when the YTM decreases?
What happens to the bond price when the YTM decreases?
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According to Pure Expectations Theory, what determines long-term interest rates?
According to Pure Expectations Theory, what determines long-term interest rates?
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What does an upward-sloping yield curve typically indicate?
What does an upward-sloping yield curve typically indicate?
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What happens to the bond price when interest rates go up?
What happens to the bond price when interest rates go up?
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What does a negative forward rate suggest?
What does a negative forward rate suggest?
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What determines the shape of the yield curve?
What determines the shape of the yield curve?
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What is the shape of the yield curve when the market expects short-term rates to decrease in the future?
What is the shape of the yield curve when the market expects short-term rates to decrease in the future?
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According to the Liquidity Preference Theory, what do investors prefer to hold?
According to the Liquidity Preference Theory, what do investors prefer to hold?
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What is the main reason investors require a higher return premium for long-term securities?
What is the main reason investors require a higher return premium for long-term securities?
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Which of the following is a characteristic of shorter-term securities?
Which of the following is a characteristic of shorter-term securities?
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Why is the median preferred over the mean in relative valuation?
Why is the median preferred over the mean in relative valuation?
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What is the relationship between the discount rate and prices of shorter-term securities?
What is the relationship between the discount rate and prices of shorter-term securities?
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What is the main implication of the Liquidity Preference Theory on long-term securities?
What is the main implication of the Liquidity Preference Theory on long-term securities?
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What is the liquidity premium in the context of the Liquidity Preference Theory?
What is the liquidity premium in the context of the Liquidity Preference Theory?
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What is the primary difference between a callable bond and a convertible bond?
What is the primary difference between a callable bond and a convertible bond?
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How does a rise in market interest rates affect the price of a bond with a fixed coupon rate?
How does a rise in market interest rates affect the price of a bond with a fixed coupon rate?
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What is the primary advantage of investing in perpetual bonds?
What is the primary advantage of investing in perpetual bonds?
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Why do indexed bonds protect investors from inflation?
Why do indexed bonds protect investors from inflation?
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What is the primary difference between a treasury bond and a municipal bond?
What is the primary difference between a treasury bond and a municipal bond?
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When the yield to maturity of a bond decreases, what happens to the effective annual return of the bond?
When the yield to maturity of a bond decreases, what happens to the effective annual return of the bond?
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What is the implication of a flat yield curve on the economy?
What is the implication of a flat yield curve on the economy?
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What is the relationship between the spot rate and forward rate in determining the market's expectations of future interest rates?
What is the relationship between the spot rate and forward rate in determining the market's expectations of future interest rates?
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What is the implication of an inverted yield curve on the market's expectations of future interest rates?
What is the implication of an inverted yield curve on the market's expectations of future interest rates?
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What is the effect of an increase in interest rates on the price of a bond with a fixed coupon rate?
What is the effect of an increase in interest rates on the price of a bond with a fixed coupon rate?
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What is the reason why investors require a higher return premium for long-term securities according to the Liquidity Preference Theory?
What is the reason why investors require a higher return premium for long-term securities according to the Liquidity Preference Theory?
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What is the characteristic of shorter-term securities according to the Liquidity Preference Theory?
What is the characteristic of shorter-term securities according to the Liquidity Preference Theory?
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What is the implication of the Liquidity Preference Theory on the yield curve?
What is the implication of the Liquidity Preference Theory on the yield curve?
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Why is the median preferred over the mean in relative valuation?
Why is the median preferred over the mean in relative valuation?
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What is the relationship between the discount rate and prices of shorter-term securities?
What is the relationship between the discount rate and prices of shorter-term securities?
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What is the effect of an increase in interest rates on the price of a bond with a coupon rate higher than the YTM?
What is the effect of an increase in interest rates on the price of a bond with a coupon rate higher than the YTM?
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What does a downward sloping yield curve suggest about the market's expectations of future interest rates?
What does a downward sloping yield curve suggest about the market's expectations of future interest rates?
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What is the relationship between the spot rate and forward rate in determining the market's expectations of future interest rates?
What is the relationship between the spot rate and forward rate in determining the market's expectations of future interest rates?
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What happens to the bond price when the YTM decreases and the coupon rate is higher than the YTM?
What happens to the bond price when the YTM decreases and the coupon rate is higher than the YTM?
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What is the implication of a flat yield curve on the economy?
What is the implication of a flat yield curve on the economy?
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What happens to the bond's price when the market's required return on the bond is higher than its coupon rate?
What happens to the bond's price when the market's required return on the bond is higher than its coupon rate?
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What is the primary difference between a convertible bond and a callable bond?
What is the primary difference between a convertible bond and a callable bond?
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What is the effect of a decrease in market interest rates on the price of a bond with a fixed coupon rate?
What is the effect of a decrease in market interest rates on the price of a bond with a fixed coupon rate?
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What is the primary advantage of indexed bonds?
What is the primary advantage of indexed bonds?
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What is the primary difference between a treasury bond and a municipal bond?
What is the primary difference between a treasury bond and a municipal bond?
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What is the primary driver of the yield curve's shape according to the Liquidity Preference Theory?
What is the primary driver of the yield curve's shape according to the Liquidity Preference Theory?
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What is the impact of a higher liquidity premium on long-term securities?
What is the impact of a higher liquidity premium on long-term securities?
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Why do investors prefer to hold shorter-term securities according to the Liquidity Preference Theory?
Why do investors prefer to hold shorter-term securities according to the Liquidity Preference Theory?
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What is the implication of a downward-sloping yield curve on the market's expectations of future interest rates?
What is the implication of a downward-sloping yield curve on the market's expectations of future interest rates?
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What is the advantage of using the median over the mean in relative valuation?
What is the advantage of using the median over the mean in relative valuation?
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What is the primary goal of relative valuation?
What is the primary goal of relative valuation?
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What is a major issue in relative valuation due to the choice of comparables?
What is a major issue in relative valuation due to the choice of comparables?
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Why may high-growth companies appear overvalued compared to low-growth companies in relative valuation?
Why may high-growth companies appear overvalued compared to low-growth companies in relative valuation?
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What is the advantage of using the median over the mean in relative valuation?
What is the advantage of using the median over the mean in relative valuation?
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What may affect the prices of comparables in relative valuation?
What may affect the prices of comparables in relative valuation?
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Why may smaller companies trade at different multiples compared to larger companies in relative valuation?
Why may smaller companies trade at different multiples compared to larger companies in relative valuation?
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What is the relationship between the coupon rate and the YTM in a bond that is sold at a price above its face value?
What is the relationship between the coupon rate and the YTM in a bond that is sold at a price above its face value?
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What happens to the bond price when the market's required return on the bond decreases, and the coupon rate is lower than the YTM?
What happens to the bond price when the market's required return on the bond decreases, and the coupon rate is lower than the YTM?
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According to the Pure Expectations Theory, what is the shape of the yield curve when the market expects short-term interest rates to remain constant in the future?
According to the Pure Expectations Theory, what is the shape of the yield curve when the market expects short-term interest rates to remain constant in the future?
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What is the effect of an increase in interest rates on the price of a bond with a coupon rate equal to the YTM?
What is the effect of an increase in interest rates on the price of a bond with a coupon rate equal to the YTM?
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What is the relationship between the time to maturity and the bond price of a premium bond?
What is the relationship between the time to maturity and the bond price of a premium bond?
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What is the implication of a downward-sloping yield curve on the economy?
What is the implication of a downward-sloping yield curve on the economy?
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What is the primary implication of a negative forward rate in the bond market?
What is the primary implication of a negative forward rate in the bond market?
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According to the Liquidity Preference Theory, what is the main reason for the upward slope of the yield curve?
According to the Liquidity Preference Theory, what is the main reason for the upward slope of the yield curve?
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What is the relationship between the spot rate and forward rate in determining the market's expectations of future interest rates?
What is the relationship between the spot rate and forward rate in determining the market's expectations of future interest rates?
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What is the characteristic of shorter-term securities according to the Liquidity Preference Theory?
What is the characteristic of shorter-term securities according to the Liquidity Preference Theory?
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What is the implication of an inverted yield curve on the market's expectations of future interest rates?
What is the implication of an inverted yield curve on the market's expectations of future interest rates?
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What is the primary driver of the yield curve's shape according to the Liquidity Preference Theory?
What is the primary driver of the yield curve's shape according to the Liquidity Preference Theory?
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What is the effect of a decrease in market interest rates on the price of a bond with a fixed coupon rate?
What is the effect of a decrease in market interest rates on the price of a bond with a fixed coupon rate?
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What is the relationship between the discount rate and prices of shorter-term securities?
What is the relationship between the discount rate and prices of shorter-term securities?
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Study Notes
Bonds
- Bonds raise long-term capital for corporations and governments.
- Investors pay the initial cost (price) and receive coupon (interest) periodically, and the face value of the bond when it matures.
- Zero-coupon bonds do not pay coupon payments over the life of the bond, only the face value at maturity.
- Convertible bonds can be converted into a pre-determined number of stocks in the future.
- Indexed bonds have a rate of return eroded by inflation, with the coupon related to inflation movements.
- Callable bonds allow the seller to buy the bond back from the investor in the future.
- Perpetual bonds have no maturity date.
- Treasury bonds are issued by the federal government.
- Municipal bonds are issued by state governments or government agencies.
Bond Pricing and YTM
- YTM 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, with rising interest rates increasing YTM and decreasing bond prices, and vice versa.
Relationship Between YTM, Coupon Rate, and Time to Maturity
- If the coupon rate is higher than YTM, the bond is sold at a price above face value (expensive/premium).
- As time to maturity decreases, the bond price decreases, and as time to maturity increases, the bond price increases.
- When YTM decreases, the bond price increases, decreasing the effective annual return.
- If interest rates go down, this decreases YTM, increasing bond price.
- If the coupon rate is lower than YTM, the bond is sold at a price below face value (cheap/discount).
- As time to maturity decreases, the bond price increases, and as time to maturity increases, the bond price decreases.
- When YTM increases, the bond price decreases, increasing the effective annual return.
- If interest rates go up, this increases YTM, decreasing bond price.
Pure Expectations Theory
- Pure Expectations Theory assumes the current yield curve solely reflects investors' expectations of future short-term interest rates.
- Long-term interest rates are determined by the market's expectation of future short-term interest rates (forward rates).
- Investors are indifferent between holding short-term or long-term securities, provided any combination of investment gives the same total return over the same investment period.
Yield Curve Shape
- Normal (upward-sloping) yield curve: long-term bonds have higher yields compared to short-term bonds, indicating expectations of stronger economic growth and potentially higher inflation in the future.
- Inverted (downward-sloping) yield curve: short-term bonds have higher yields compared to long-term bonds, indicating expectations of slower economic growth or a recession in the future.
- Flat yield curve: rarely seen, indicating a changing economy.
Discount Factors/Spot Rates/Forward Rates
- Discount factors are determined from the market price and cashflows of a bond, starting with the shortest maturity, to obtain the corresponding spot rate and create a yield curve.
- Forward rates are market expectations of interest rates in the future.
- Comparing forward rates to spot rates indicates what the market thinks will happen in the future for bonds.
- Spot rates vs. forward rate curves provide an indication of what the market is thinking in the future for bonds.
Interest Rate Changes
- High interest rates: decrease in bond prices, providing an opportunity for investors.
- Low interest rates: increase in bond prices, making them more valuable.
Liquidity Preference Theory
- Liquidity Preference Theory assumes the current yield curve reflects investors' expectations of future short-term interest rates and their preference for liquidity.
- Investors prefer to hold shorter-term securities, exposed to less interest rate risk, and are willing to pay extra for reducing this risk exposure.
- Investors are only willing to invest in long-term securities, exposed to higher interest rate risk, if offered a high enough return premium for the increased risk.
Relative Valuation
- The median is preferred over the mean as a comparison point, as it is unaffected by extreme outliers or non-symmetric distributions of scores.
- The median is a better representation of the true average if the sample has outliers.
Types of Bonds
- Bonds are issued by corporations and governments to raise long-term capital
- Investors pay the initial cost (price) and receive coupon (interest) periodically
- When the bond matures, investors receive the face value of the bond (initial cost)
- Zero-coupon bonds do not pay coupon payments, only the face value at maturity
- Convertible bonds can be converted into a predetermined number of stocks in the future
- Indexed bonds have a rate of return affected by inflation, with coupon payments related to inflation movements
- Callable bonds allow the seller to buy the bond back from the investor in the future
- Perpetual bonds have no maturity date
- Treasury bonds are issued by the federal government
- Municipal bonds are issued by state governments or government agencies
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 falls (discount)
- If the market requires a lower return than the bond's coupon rate, the bond's price increases (premium)
- Changes in market interest rates affect YTM
- When market interest rates rise, YTM increases, and bond prices fall
- When market interest rates fall, YTM decreases, and bond prices rise
Relationship Between YTM, Coupon Rate, and Time to Maturity
- Expensive/Premium Bonds: sold at a price above face value, with a higher coupon rate than YTM
- Cheap/Discount Bonds: sold at a price below face value, with a lower coupon rate than YTM
- When YTM decreases, the bond price increases, and the effective annual return decreases
- When YTM increases, the bond price decreases, and the effective annual return increases
Pure Expectations Theory
- Assumes the current yield curve solely reflects investors' expectations of future short-term interest rates
- Long-term interest rates are determined by the market's expectation of future short-term interest rates (forward rates)
- Investors are indifferent between holding short-term or long-term securities, assuming the same total return
Yield Curve Shape
- Normal/Upward Sloping: long-term bonds have higher yields, indicating stronger economic growth and higher inflation expectations
- Inverted/Downward Sloping: short-term bonds have higher yields, indicating slower economic growth or recession expectations
- Flat Yield Curve: rarely seen, only during economic changes, indicating a shift in the yield curve
Discount Factors, Spot Rates, and Forward Rates
- Discount Factors are determined from the market price and cashflows of a bond, used to obtain the corresponding spot rate and create a yield curve
- Forward rates are market expectations of interest rates in the future
- Comparing forward rates to spot rates can indicate market expectations of future interest rate changes
- Using spot rates vs. forward rates can indicate market expectations of future bond prices
Liquidity Preference Theory
- Assumes the current yield curve reflects investors' expectations of future short-term interest rates and their preference for liquidity
- Investors prefer shorter-term securities with lower interest rate risk, requiring a higher return premium for increased risk
- Shorter-term securities: lower risk, lower return (discount rate), higher prices
- Long-term securities: higher risk, higher return (discount rate), lower prices
Relative Valuation
- The median is a more reliable comparison point than the mean
- The median is unaffected by extreme outliers or non-symmetric distributions of scores
- The median is a better representation of the true average if the sample has outliers
Types of Bonds
- Bonds are issued by corporations and governments to raise long-term capital
- Investors pay the initial cost (price) and receive coupon (interest) periodically
- When the bond matures, investors receive the face value of the bond (initial cost)
- Zero-coupon bonds do not pay coupon payments, only the face value at maturity
- Convertible bonds can be converted into a predetermined number of stocks in the future
- Indexed bonds have a rate of return affected by inflation, with coupon payments related to inflation movements
- Callable bonds allow the seller to buy the bond back from the investor in the future
- Perpetual bonds have no maturity date
- Treasury bonds are issued by the federal government
- Municipal bonds are issued by state governments or government agencies
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 falls (discount)
- If the market requires a lower return than the bond's coupon rate, the bond's price increases (premium)
- Changes in market interest rates affect YTM
- When market interest rates rise, YTM increases, and bond prices fall
- When market interest rates fall, YTM decreases, and bond prices rise
Relationship Between YTM, Coupon Rate, and Time to Maturity
- Expensive/Premium Bonds: sold at a price above face value, with a higher coupon rate than YTM
- Cheap/Discount Bonds: sold at a price below face value, with a lower coupon rate than YTM
- When YTM decreases, the bond price increases, and the effective annual return decreases
- When YTM increases, the bond price decreases, and the effective annual return increases
Pure Expectations Theory
- Assumes the current yield curve solely reflects investors' expectations of future short-term interest rates
- Long-term interest rates are determined by the market's expectation of future short-term interest rates (forward rates)
- Investors are indifferent between holding short-term or long-term securities, assuming the same total return
Yield Curve Shape
- Normal/Upward Sloping: long-term bonds have higher yields, indicating stronger economic growth and higher inflation expectations
- Inverted/Downward Sloping: short-term bonds have higher yields, indicating slower economic growth or recession expectations
- Flat Yield Curve: rarely seen, only during economic changes, indicating a shift in the yield curve
Discount Factors, Spot Rates, and Forward Rates
- Discount Factors are determined from the market price and cashflows of a bond, used to obtain the corresponding spot rate and create a yield curve
- Forward rates are market expectations of interest rates in the future
- Comparing forward rates to spot rates can indicate market expectations of future interest rate changes
- Using spot rates vs. forward rates can indicate market expectations of future bond prices
Liquidity Preference Theory
- Assumes the current yield curve reflects investors' expectations of future short-term interest rates and their preference for liquidity
- Investors prefer shorter-term securities with lower interest rate risk, requiring a higher return premium for increased risk
- Shorter-term securities: lower risk, lower return (discount rate), higher prices
- Long-term securities: higher risk, higher return (discount rate), lower prices
Relative Valuation
- The median is a more reliable comparison point than the mean
- The median is unaffected by extreme outliers or non-symmetric distributions of scores
- The median is a better representation of the true average if the sample has outliers
Relative Valuation
- Relative valuation involves comparing the price of an asset to the prices of similar or comparable assets in the market.
- Market prices are standardized to create price multiples, which enable comparisons between assets.
- Relative valuation is popular because it reflects market perceptions and moods, making it easier to justify valuations.
- The median is preferred over the mean as a comparison point because it is more reliable and unaffected by extreme outliers or non-symmetric distributions.
Issues in Relative Valuation
- The choice of comparables is subjective and can significantly affect the valuation.
- Market conditions can influence the prices of comparables, leading to inaccurate valuations.
- Differences in growth rates between companies can lead to misleading conclusions.
- Scale and size differences between companies can result in valuation discrepancies.
Non-Linear Regression
- Non-linear regression assumes a linear relationship between the multiple and its fundamentals.
- Non-stationarity occurs when the relationship between the multiple and financial variables is not stable.
- Multi-collinearity occurs when independent variables are correlated with each other, making coefficients unreliable.
Bonds
- Bonds are long-term debt instruments issued by corporations and governments to raise capital.
- Investors pay the initial price and receive coupon (interest) payments periodically, and the face value when the bond matures.
- Types of bonds include:
- Convertible bonds: can be converted into a pre-determined number of stocks.
- Indexed bonds: rate of return is eroded by inflation.
- Callable bonds: seller can buy the bond back from the investor.
- Perpetual bonds: have no maturity date.
- Treasury bonds: issued by federal governments.
- Municipal bonds: issued by state governments or government agencies.
Bond Pricing and Yield to Maturity (YTM)
- YTM 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.
Characteristics of Bonds
- Par value bond: coupon rate equals YTM.
- Discount bond: coupon rate is less than YTM.
- Premium bond: coupon rate is greater than YTM.
Pure Expectations Theory
- Assumes the current yield curve reflects investors' expectations of future short-term interest rates.
- Long-term interest rates are determined by market expectations of future short-term interest rates (forward rates).
- Investors are indifferent between holding short-term or long-term securities, provided any combination gives the same total return.
Yield Curve Shape
- Normal (upward sloping): long-term bonds have higher yields, indicating expectation of stronger economic growth and higher inflation.
- Inverted (downward sloping): short-term bonds have higher yields, indicating expectation of slower economic growth or recession.
- Flat yield curve: rare and occurs when the economy is changing.
Discount Factors, Spot Rates, and Forward Rates
- Discount factor is determined from the market price and cashflows of a bond.
- Spot rate is used to create a yield curve.
- Forward rates reflect market expectations of interest rates in the future.
- Comparing forward rates to spot rates indicates market expectations.
High and Low Interest Rates
- High interest rates decrease bond prices, providing an opportunity for investors.
- Low interest rates increase bond prices, making them more valuable.
Liquidity Preference Theory
- Assumes the current yield curve reflects investors' expectations of future short-term interest rates and their preference for liquidity.
- Investors prefer shorter-term securities, which are exposed to less interest rate risk.
- Investors demand a higher return premium for taking on increased risk in long-term securities.
- This is the liquidity premium.
- Implications:
- Shorter-term securities: lower risk, lower return (discount rate), and higher prices.
- Long-term securities: higher risk, higher return (discount rate), and lower prices.
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Description
Learn about bonds, a type of long-term investment issued by corporations and governments, and how they work, including coupon payments, face value, and convertible bonds.