Topic 23 Term Structure

Created by Vincent

p.22

What is the least appropriate measure to identify and manage 'shaping risk' in a bond portfolio?

A. Effective duration
B. Key rate durations
C. Portfolio yield
D. Average maturity
E. Sensitivities to level, steepness, and curvature factors

Select an answer

p.22

Explanation

The least appropriate measure for identifying and managing shaping risk is average maturity, as it does not provide specific insights into how the portfolio reacts to changes in the yield curve's shape compared to effective duration or key rate durations.

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p.22
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the least appropriate measure to identify and manage 'shaping risk' in a bond portfolio?

D

p.22
Expected and Realized Returns on Bonds

What is the most strongly linked factor to volatility in short-term rates according to research?

D

p.22
Term Structure of Interest Rates

Which yield curve shift is most likely associated with restrictive monetary policy?

A

p.22
Rolling Down the Yield Curve

What type of portfolio might an investor rotate into if they expect a bullish flattening of the yield curve?

A

p.22
Spot Rates and Forward Rates

What does the spot rate for a particular maturity represent?

B

p.23
Forward Pricing Model

What happens to forward rates when the spot curve is flat?

A

p.23
Forward Pricing Model

What does the forward pricing model equate when valuing forward contracts?

B

p.23
Bootstrapping Spot Rates

What is the purpose of bootstrapping in finance?

C

p.1
Term Structure of Interest Rates

What is the term structure of interest rates primarily used to understand?

C

p.1
Spot Rates and Forward Rates

What do spot rates represent in the context of government securities?

B

p.1
Forward Pricing Model

What is a forward rate?

D

p.1
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

Which of the following spreads is mentioned as important to understand in the context of the term structure of interest rates?

C

p.1
Yield to Maturity

What is the significance of the shape of the yield curve?

B

p.2
Spot Rates and Forward Rates

What is the relationship between the discount factor P~T~ and the spot rate S~T~ for a zero-coupon bond?

B

p.2
Spot Rates and Forward Rates

What is the term structure of spot rates commonly referred to as?

C

p.2
Spot Rates and Forward Rates

What does the forward rate f(j,k) represent?

B

p.2
Yield to Maturity

How does the yield to maturity (YTM) of a coupon bond relate to the spot rate?

A

p.2
Forward Pricing Model

What is the formula for the forward price F(j,k) of a zero-coupon bond?

E

p.3
Expected and Realized Returns on Bonds

What is the calculated price of the bond using the spot rate curve?

E

p.3
Expected and Realized Returns on Bonds

What is the yield to maturity (Y3) calculated for the bond?

C

p.3
Expected and Realized Returns on Bonds

Under what conditions will the expected return equal the bond's yield?

E

p.3
Expected and Realized Returns on Bonds

What does the realized return on a bond refer to?

D

p.3
Forward Pricing Model

What does the forward pricing model state about the prices of two investments?

A

p.4
Forward Pricing Model

What is the formula for calculating the forward price F(j,k)?

A

p.4
Spot Rates and Forward Rates

What is the two-year spot rate given in the example?

A

p.4
Bootstrapping Spot Rates

What is the calculated value of P₂?

E

p.4
Forward Pricing Model

What does the forward price of $0.8082 represent?

B

p.4
Forward Rate Model

What does the forward rate model illustrate?

E

p.5
Forward Pricing Model

What is the implied three-year forward rate for a loan starting two years from now, given S₂ = 4% and S₅ = 6%?

C

p.5
Forward Pricing Model

What does it mean if the yield curve is upward sloping?

A

p.5
Term Structure of Interest Rates

What is a par rate?

D

p.5
Bootstrapping Spot Rates

How can spot rates be derived from the par curve?

C

p.5
Bootstrapping Spot Rates

What is the first step in bootstrapping spot rates from the par curve?

D

p.6
Forward Pricing Model

When the yield curve is downward sloping, where are the forward curves most likely to lie?

C

p.6
Forward Pricing Model

What is the model that equates buying a long-maturity zero-coupon bond to entering into a forward contract to buy a zero-coupon bond that matures at the same time?

E

p.7
Spot Rates and Forward Rates

What happens to the forward rate as j increases in an upward-sloping spot curve?

B

p.7
Spot Rates and Forward Rates

In a downward-sloping yield curve, how does the forward rate behave as j increases?

E

p.7
Spot Rates and Forward Rates

What does the forward curve represent in relation to the spot curve when the spot curve is upward sloping?

C

p.7
Forward Pricing Model

What does a change in the forward price indicate about future spot rates?

A

p.7
Spot Rates and Forward Rates

According to the forward rate model, how is the spot rate for a long-maturity security determined?

B

p.8
Expected and Realized Returns on Bonds

What is the expected return on a bond over a one-year horizon if spot rates evolve as predicted by today's forward curve?

C

p.8
Expected and Realized Returns on Bonds

What does an active portfolio manager aim to do in the bond market?

E

p.8
Yield to Maturity

What is the price of a one-year zero-coupon bond given a one-year spot rate of 3%?

C

p.8
Forward Pricing Model

If the expected spot rate for year 1 is 5.01%, what does this imply about the forward rate for the same period?

A

p.8
Forward Pricing Model

What is the relationship between spot rates and forward rates according to the provided information?

D

p.9
Expected and Realized Returns on Bonds

What is the holding period return for a bond that pays $1 at maturity and has a price of $0.9709?

D

p.9
Spot Rates and Forward Rates

What is the price of a two-year zero-coupon bond given a two-year spot rate of 4%?

D

p.9
Rolling Down the Yield Curve

If an investor believes future spot rates will be lower than corresponding forward rates, what action should they take?

C

p.9
Rolling Down the Yield Curve

What is the strategy called when an investor purchases bonds with maturities longer than their investment horizon?

C

p.9
Rolling Down the Yield Curve

What happens to the price of a bond as it approaches maturity in an upward-sloping yield curve?

E

p.10
Forward Pricing Model

If future spot rates are expected to be lower than the current forward rates for the same maturities, bonds are most likely to be:

B

p.10
Term Structure of Interest Rates

The strategy of rolling down the yield curve is most likely to produce superior returns for a fixed income portfolio manager investing in bonds with maturity higher than the manager's investment horizon when the spot rate curve:

E

p.10
Swap Rate Curve

In a plain vanilla interest rate swap, what is the fixed rate called?

C

p.11
Swap Rate Curve

What is the primary reason market participants prefer the swap rate curve over the government bond yield curve?

E

p.11
Swap Rate Curve

What does the swap rate curve typically provide that the U.S. government bond yield curve does not?

B

p.11
Swap Rate Curve

What is the significance of the MRR in the context of swap rates?

A

p.11
Swap Rate Curve

In the equation for computing the value of fixed rate payments on a swap, what does SFR represent?

B

p.11
Swap Rate Curve

What has replaced LIBOR as a reference rate for derivative instruments according to the new curriculum?

A

p.12
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does the swap spread represent?

E

p.12
Swap Rate Curve

Which statement about the swap rate curve is most accurate?

B

p.12
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the calculated swap spread if the fixed rate of a one-year fixed-for-floating MRR swap is 0.57% and the one-year Treasury yield is 0.11%?

D

p.12
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does a positive swap spread indicate?

A

p.12
Swap Rate Curve

What is the significance of the swap rate curve?

E

p.13
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the formula to calculate the swap spread?

E

p.13
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does the I-spread represent in bond markets?

A

p.13
Swap Rate Curve

How is the missing swap rate estimated when it is not available for a specific maturity?

D

p.13
Swap Rate Curve

In the example provided, what is the interpolated swap rate for a bond maturing in 1.6 years?

D

p.13
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the I-spread for the 6% Zinni, Inc. bonds yielding 2.35%?

D

p.14
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does the I-spread reflect in bond pricing?

E

p.14
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the Z-spread used for in bond valuation?

C

p.14
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What assumption does the term 'zero volatility' in Z-spread refer to?

A

p.14
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the Z-spread for the two-year bond priced at $104.12 with an 8% coupon?

E

p.14
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the price of the three-year, 5% annual-pay ABC, Inc. bond with a Z-spread of 100 bps?

C

p.15
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does the 'TED' in TED spread stand for?

C

p.15
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does a rising TED spread indicate about banks?

D

p.15
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

How is the TED spread calculated?

D

p.15
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does the MRR-OIS spread indicate?

C

p.15
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

Which statement about the Z-spread is most accurate?

C

p.16
Traditional Theories of Term Structure

What does the unbiased expectations theory suggest about forward rates?

A

p.16
Traditional Theories of Term Structure

According to the unbiased expectations theory, how do long-term interest rates relate to future short-term rates?

D

p.16
Traditional Theories of Term Structure

What is the implication of risk neutrality in the unbiased expectations theory?

C

p.16
Traditional Theories of Term Structure

If the one-year spot rate is 5% and the two-year spot rate is 7%, what would the one-year forward rate in one year be under the unbiased expectations theory?

E

p.16
Traditional Theories of Term Structure

What shape does the yield curve take when short-term rates are expected to rise according to the unbiased expectations theory?

C

p.17
Term Structure of Interest Rates

What does an upward sloping yield curve indicate according to the pure expectations theory?

B

p.17
Local Expectations Theory

What is a key assumption of the local expectations theory?

D

p.17
Liquidity Preference Theory

According to the liquidity preference theory, what does a positive-sloping yield curve indicate?

E

p.17
Segmented Markets Theory

What does the segmented markets theory suggest about the determination of yields?

C

p.17
Liquidity Preference Theory

What is a characteristic of liquidity premiums according to the liquidity preference theory?

E

p.18
Traditional Theories of Term Structure

What does the preferred habitat theory suggest about forward rates?

D

p.18
Traditional Theories of Term Structure

According to the preferred habitat theory, what must be offered to entice investors to shift from their preferred habitats?

A

p.18
Traditional Theories of Term Structure

What is the primary reason pension plans and insurance companies purchase long-maturity bonds?

A

p.18
Traditional Theories of Term Structure

How does the preferred habitat theory differ from the liquidity preference theory regarding risk premiums?

A

p.18
Yield to Maturity

What is yield curve risk?

D

p.19
Effective Duration

What does effective duration measure?

E

p.19
Key Rate Duration

What is key rate duration primarily used for?

E

p.19
Shaping Risk

What does shaping risk refer to?

B

p.19
Key Rate Duration

How is key rate duration numerically defined?

D

p.19
Sensitivity to Yield Curve Movements

What are the three categories of yield curve movements?

C

p.20
Yield to Maturity

What does the equation ΔΡ/−− −P represent in the context of yield curve movements?

D

p.20
Expected and Realized Returns on Bonds

In the example provided, what is the predicted percentage change in portfolio value due to the yield curve movements?

A

p.20
Maturity Structure of Yield Curve Volatilities

What is the general trend of interest rate volatility with respect to maturity?

B

p.20
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the significance of interest rate volatility for bond managers?

A

p.20
Term Structure of Interest Rates

What does the term structure of interest rate volatility graph represent?

B

p.21
Yield to Maturity

What does the variable σ(t,T) represent in the context of bond yields?

D

p.21
Expected and Realized Returns on Bonds

Which macroeconomic factor explains two-thirds of the variation in long-term bond yields?

E

p.21
25
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the bond risk premium?

D

p.21
Monetary Policy

What effect does expansionary monetary policy typically have on the yield curve during economic expansions?

B

p.21
Traditional Theories of Term Structure

How does investor demand affect bond yields?

B

p.23
Rolling Down the Yield Curve

What strategy might bond managers use when the yield curve is upward sloping?

E

p.23
Swap Rate Curve

Why do market participants prefer the swap rate curve as a benchmark?

E

p.24
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the swap spread defined as?

B

p.24
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does a higher swap spread indicate?

B

p.24
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What is the Z-spread used for?

B

p.24
Spread Measures (Z-Spread, TED Spread, MRR-OIS Spr...

What does the TED spread indicate?

D

p.24
Traditional Theories of Term Structure

According to the unbiased expectations theory, what do forward rates predict?

A

p.25
Term Structure of Interest Rates

What does the segmented markets theory suggest about the yield curve?

A

p.25
Term Structure of Interest Rates

What is the primary focus of preferred habitat theory?

C

p.25
Expected and Realized Returns on Bonds

What does effective duration measure?

A

p.25
Yield to Maturity

Which of the following statements about yield volatilities is true?

D

p.26
Forward Pricing Model

What does the forward rate model indicate about investor behavior regarding zero-coupon bonds?

B

p.27
Effective Duration

What is shaping risk in the context of portfolio management?

E

p.27
Volatility Term Structure

What does short-term volatility in the volatility term structure reflect?

A

p.27
Yield Curve Dynamics

What happens to short-term rates during economic expansions when restrictive monetary policy is applied?

B

p.11

What is a swap rate in the context of interest rate swaps?

A swap rate is the fixed rate in a plain vanilla interest rate swap, where one party pays a fixed rate and the counterparty pays a floating rate. The swap rate is used to determine the fixed payments in the swap agreement.

p.11

What is the swap rate curve?

The swap rate curve is a graph showing swap rates for various maturities. It serves as an important interest-rate benchmark for credit markets.

p.12

Why do market participants prefer the swap rate curve over the government bond yield curve as a benchmark?

Market participants prefer the swap rate curve because: (1) swap rates reflect the credit risk of commercial banks rather than governments, (2) the swap market is not regulated by any government, making rates more comparable across countries, and (3) the swap curve typically has yield quotes at many maturities.

p.11

How is the value of fixed rate payments on a swap computed?

The value of fixed rate payments on a swap is computed using the relevant spot rate curve. For a given swap tenor T, the swap fixed rate (SFR) is solved in the equation: sum from i=1 to T of SFR/(1+Si)^i + 1/(1+ST)^T = 1.

p.11

What is the relationship between the swap fixed rate and the coupon rate of a bond?

The swap fixed rate (SFR) can be thought of as the coupon rate of a $1 par value bond given the underlying spot rate curve.

p.12

How do you compute the swap fixed rate for a given tenor using spot rates?

To compute the swap fixed rate for a given tenor, set up the equation: sum of SFR/(1+Si)^i for each period plus 1/(1+ST)^T equals 1, and solve for SFR using the spot rates for each maturity.

p.13

What is the swap spread?

The swap spread is the amount by which the swap rate exceeds the yield of a government bond with the same maturity. Swap spread = swap rate – Treasury yield.

p.13

Why are swap spreads almost always positive?

Swap spreads are almost always positive because government bonds have lower credit risk compared to the surveyed banks that determine the swap rate.

p.14

What does a higher swap spread indicate?

A higher swap spread indicates higher compensation for liquidity and credit risk.

p.24

How is the swap spread used by investors?

Investors use the swap spread to separate the time value portion of a bond's yield from the risk premiums for credit and liquidity risk.

p.24

What does the swap spread provide for a default-free bond?

For a default-free bond, the swap spread provides an indication of the bond's liquidity and/or possible mispricing.

p.13

How is the swap spread calculated? Provide an example.

Swap spread = swap rate – Treasury yield. For example, if the two-year swap rate is 2.02% and the two-year U.S. Treasury yield is 1.61%, the swap spread is 2.02% – 1.61% = 0.41% or 41 basis points.

p.13

What is the I-spread and how does it relate to the swap rate?

The I-spread (interpolated spread) is the amount by which the yield on a credit-risky bond exceeds the swap rate for the same maturity.

p.13

How can missing swap rates for specific maturities be estimated?

Missing swap rates for specific maturities can be estimated from the swap rate curve using linear interpolation.

p.11

What is the significance of the swap rate curve in the valuation of assets and liabilities by banks?

Wholesale banks managing interest rate risk with swap contracts are more likely to use swap curves to value their assets and liabilities, while retail banks are more likely to use a government bond yield curve.

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