Finance Quiz: Yield Curve Interpretation
20 questions · exam conditions
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Yield Curve InterpretationQuestion 1 of 20

A pension fund manager observes a consistently upward-sloping yield curve over many years, even during periods when the consensus economic forecast is for stable, low inflation and steady central bank policy rates. Which theory of the term structure of interest rates best explains this persistent upward slope?

The pure expectations theory, as investors are systematically overestimating future rate increases.
The efficient market hypothesis, as all available information is already incorporated into bond prices.
The market segmentation theory, as demand from short-term investors is consistently overwhelming supply across all maturities.
The liquidity preference theory, as investors demand a maturity risk premium for holding longer-term bonds.
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Finance Quiz

Finance Quiz: Yield Curve Interpretation

Practice Yield Curve Interpretation in Finance with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Yield Curve Interpretation, giving you a quick way to practice the rules, question types, and explanations that matter most for Finance.

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Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

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Question 1

A pension fund manager observes a consistently upward-sloping yield curve over many years, even during periods when the consensus economic forecast is for stable, low inflation and steady central bank policy rates. Which theory of the term structure of interest rates best explains this persistent upward slope?

  1. The pure expectations theory, as investors are systematically overestimating future rate increases.
  2. The efficient market hypothesis, as all available information is already incorporated into bond prices.
  3. The market segmentation theory, as demand from short-term investors is consistently overwhelming supply across all maturities.
  4. The liquidity preference theory, as investors demand a maturity risk premium for holding longer-term bonds. (correct answer)
Explanation: When you encounter questions about persistent yield curve patterns that don't align with economic expectations, you need to consider the different theories explaining term structure behavior and what drives long-term versus short-term rates. The liquidity preference theory provides the best explanation for this scenario. This theory recognizes that longer-term bonds carry additional risks beyond just interest rate expectations—specifically, greater price volatility and uncertainty about future conditions. Even when investors expect stable rates and low inflation, they still demand extra compensation (a liquidity or maturity risk premium) for tying up their money longer. This premium creates a natural upward slope to the yield curve, regardless of rate expectations. Let's examine why the other options fall short. Choice A misapplies the pure expectations theory, which would actually predict a flat yield curve during periods of stable rate expectations, not an upward slope. The theory suggests systematic overestimation, but the persistence across many years makes this unlikely. Choice B incorrectly invokes the efficient market hypothesis, which explains how information gets incorporated into prices but doesn't address why yield curves slope upward. Choice C misrepresents market segmentation theory—overwhelming short-term demand would typically flatten or invert the curve, not create consistent upward slopes across all maturities. Study tip: Remember that liquidity preference theory explains why yield curves have a "default" upward slope even in neutral economic environments. The key insight is that maturity risk premiums exist independently of interest rate expectations, making this theory crucial for explaining persistent yield curve patterns.

Question 2

An analyst observes a 'bear steepening' of the yield curve, a scenario where both short-term and long-term rates are rising, but long-term rates are rising faster. Which economic outlook is most consistent with this specific change in the yield curve's shape?

  1. The market expects the central bank to cut interest rates aggressively in the near future to combat a slowdown.
  2. The market anticipates a short-term economic recession followed by a period of deflation.
  3. The market expects rising long-term inflation and strong economic growth, prompting future central bank tightening. (correct answer)
  4. The market has entered a 'flight to quality' phase, with investors selling equities to buy long-term government bonds.
Explanation: A 'bear steepening' is characterized by rising yields across the curve ('bear' market for bonds) and a widening spread between long and short rates ('steepening'). This typically occurs when the market expects strong economic growth and higher future inflation. These expectations push long-term yields up significantly. The rise in short-term yields reflects the anticipation that the central bank will need to tighten policy (raise rates) in the future to control this growth and inflation.

Question 3

An analyst is evaluating the impact of a flat yield curve on corporate investment decisions. Which statement accurately describes a likely effect of a persistent flat yield curve on a company's capital budgeting process?

  1. It simplifies the calculation of the weighted average cost of capital (WACC) by making the cost of debt constant across all maturities. (correct answer)
  2. It encourages companies to fund all projects with short-term debt, as there is no compensation for taking on duration risk.
  3. It has no significant effect, as the cost of equity is the primary driver of capital budgeting decisions for most firms.
  4. It may cause the net present value (NPV) of long-term projects to be understated compared to a normal yield curve environment.
Explanation: When evaluating how yield curve shapes affect corporate finance decisions, focus on how interest rate structures impact the cost of capital components and project valuation methodologies. A flat yield curve means interest rates are essentially the same across all maturities - whether a company borrows for 1 year or 10 years, the cost is nearly identical. This creates a unique situation for capital budgeting because it eliminates the typical premium companies pay for longer-term financing. With debt costs constant across maturities, the debt component of WACC becomes much simpler to calculate and remains stable regardless of the financing term chosen. Answer A correctly identifies this simplification effect. Answer B is flawed because even with no duration risk premium, companies still consider factors beyond just interest rates when choosing debt maturity, such as refinancing risk, cash flow matching, and covenant structures. Answer C incorrectly assumes yield curves don't matter much - while cost of equity is important, debt costs significantly impact WACC for leveraged firms, and capital structure decisions are crucial in capital budgeting. Answer D gets the relationship backwards - a flat yield curve typically features lower long-term rates than a normal upward-sloping curve, which would actually make long-term project NPVs higher, not lower, due to lower discount rates. Remember that yield curve questions often test your understanding of how interest rate term structures flow through to corporate decision-making. Always trace the connection from the curve shape to cost of capital components, then to the financial metrics companies actually use.

Question 4

A portfolio manager is considering two strategies. Strategy A involves purchasing a 5-year zero-coupon bond. Strategy B involves purchasing a 1-year zero-coupon bond and, upon its maturity, reinvesting the proceeds into a new 4-year zero-coupon bond. The manager believes the pure expectations theory holds and that the yield curve will evolve exactly as the current curve implies.

The current yield curve is normal and upward-sloping. If the manager's assumptions are correct, what will be the relationship between the total returns of the two strategies over the 5-year horizon?

  1. Strategy A will have a higher total return due to its higher initial yield-to-maturity.
  2. Strategy B will have a higher total return because it will benefit from expected higher future interest rates.
  3. The relationship cannot be determined without knowing the specific yields on the curve.
  4. The total returns of Strategy A and Strategy B will be identical. (correct answer)
Explanation: When you encounter questions about bond investment strategies and yield curve theories, focus on what the pure expectations theory actually predicts about forward rates and returns. The pure expectations theory states that forward rates embedded in the current yield curve are unbiased predictors of future spot rates. This creates a crucial implication: if the theory holds and rates evolve exactly as the current curve suggests, then all investment strategies over the same time horizon should yield identical returns. This is because any yield advantage from longer-term bonds is exactly offset by the reinvestment opportunities (or lack thereof) in shorter-term strategies. Under these assumptions, Strategy A (holding the 5-year bond) and Strategy B (rolling from 1-year to 4-year bonds) will produce identical total returns. The higher initial yield on the 5-year bond doesn't create an advantage because the forward rates already incorporate all expected rate changes. Choice A incorrectly assumes the higher initial yield translates to higher returns, ignoring that this yield premium is compensation for expected rate changes. Choice B misunderstands the pure expectations theory—while rates may rise, this is already "priced in" to current bond prices, eliminating any return advantage. Choice C suggests insufficient information, but the pure expectations theory framework provides enough context to determine the relationship. Study tip: Remember that under pure expectations theory, the market is essentially "efficient" regarding interest rate predictions—no strategy should outperform another over the same horizon when rates evolve as expected. This principle applies to many yield curve arbitrage questions.

Question 5

The yield on the 2-year Treasury note falls by 15 basis points, while the yield on the 10-year Treasury note falls by 40 basis points. The 30-year Treasury bond yield remains unchanged. How would this change in the term structure be best described?

  1. A parallel downward shift of the entire yield curve.
  2. A bear flattening of the yield curve.
  3. A bear steepening of the yield curve.
  4. A bull flattening of the yield curve. (correct answer)
Explanation: When analyzing yield curve movements, you need to examine two key factors: the overall direction of rate changes and how the shape of the curve evolves. This question tests your understanding of how different maturity yields move relative to each other. Let's trace what happened: the 2-year yield fell 15 basis points, the 10-year yield fell 40 basis points, and the 30-year yield stayed flat. Since most yields are declining, this represents a "bull" market environment (falling rates are bullish for bonds). The curve is also "flattening" because the spread between long and short rates is narrowing—longer-term rates fell more than shorter-term rates. Answer D correctly identifies this as a bull flattening. The overall downward movement in yields creates the "bull" condition, while the greater decline in longer-term rates relative to shorter-term rates flattens the curve. Answer A is wrong because this isn't a parallel shift—different maturities moved by different amounts (15bp vs 40bp vs 0bp). Answer B incorrectly calls this "bear" flattening, but bear markets involve rising rates, not falling ones. Answer C is wrong on both counts: it's neither "bear" (rates are falling, not rising) nor "steepening" (the curve is actually getting flatter as long rates fall more than short rates). Remember the key patterns: "Bull" means rates are falling, "bear" means rates are rising. "Steepening" means long rates rise more or fall less than short rates, while "flattening" means long rates fall more or rise less than short rates.

Question 6

An analyst observes a perfectly flat Treasury yield curve where all maturities yield 3.0%. According to the pure expectations theory of interest rates, what is the market's implicit forecast for the one-year Treasury yield, one year from now?

  1. Less than 3.0%
  2. Exactly 3.0% (correct answer)
  3. Greater than 3.0%
  4. Cannot be determined without knowing the liquidity premium.
Explanation: The pure expectations theory posits that long-term interest rates are an average of current and expected future short-term rates. For the 2-year yield to be 3.0% when the current 1-year yield is 3.0%, the expected 1-year yield one year from now must also be 3.0%. Any other value would result in a sloping, not flat, yield curve. The theory assumes no liquidity premium, so that information is not needed.

Question 7

After a prolonged period of inversion, the U.S. Treasury yield curve normalizes and begins to steepen. This shift is primarily driven by falling short-term yields while long-term yields remain relatively stable. What does this 'bull steepening' most likely signify about the economy and monetary policy?

  1. The market is now pricing in higher long-term inflation and stronger sustained economic growth.
  2. The central bank has begun, or is widely expected to begin, cutting its policy rate in response to a weakening economy. (correct answer)
  3. Foreign investors are aggressively selling U.S. long-term debt, creating an oversupply of long-term bonds.
  4. Corporate credit quality is rapidly deteriorating, leading investors to favor only the longest-term government debt.
Explanation: A 'bull steepening' occurs when short-term rates fall faster than long-term rates (or fall while long-term rates are stable/rising slightly). This is a classic signal that the central bank is easing monetary policy by cutting its short-term policy rate. This action is typically taken in response to a weakening economy, slowing inflation, or the onset of a recession. The falling short-term yields directly reflect this policy shift or the strong expectation of it.

Question 8

Assume the U.S. Treasury yield curve is perfectly flat at 4.0%. The central bank then makes an unexpected announcement that causes all yields to instantly rise by 50 basis points, resulting in a new, parallel flat yield curve at 4.5%. Which of the following bond portfolios would experience the largest percentage price decline?

  1. A portfolio of floating-rate Treasury notes with an average maturity of 5 years.
  2. A portfolio consisting of a single zero-coupon Treasury bond with 2 years to maturity.
  3. A portfolio consisting of a single 30-year Treasury bond with a 4.0% coupon. (correct answer)
  4. A portfolio consisting of a single zero-coupon Treasury bond with 10 years to maturity.
Explanation: The percentage price change of a bond for a given change in yield is determined by its duration. For a parallel shift in the yield curve, the bond with the highest duration will experience the largest price change. Comparing the options: floating-rate notes have near-zero duration. A 2-year zero has a duration of 2. A 10-year zero has a duration of 10. A 30-year bond paying a 4.0% coupon when yields are 4.0% (par bond) has a modified duration of approximately 17-18 years. Since the 30-year coupon bond has the highest duration, it will suffer the largest percentage price decline.

Question 9

A bond portfolio manager is operating in an environment with a persistent, flat yield curve. The manager's forecast is that the curve will remain flat but the overall level of rates will decline significantly over the next year. Which of the following strategies would be most appropriate to capitalize on this specific view?

  1. A barbell strategy, investing in short-term and long-term bonds, to capture yield curve changes.
  2. A bullet strategy, concentrating holdings in an intermediate maturity, to minimize reinvestment risk.
  3. Increasing the overall duration of the portfolio by shifting into longer-maturity bonds. (correct answer)
  4. Decreasing the overall duration of the portfolio to protect against unexpected rate increases.
Explanation: The manager's view is on the level of rates, not the shape of the curve. The primary driver of bond portfolio returns in a declining rate environment is price appreciation. Bond price sensitivity to rate changes is measured by duration. To capitalize on an expected decline in the overall level of rates, the manager should increase the portfolio's duration to maximize price gains. Shifting into longer-maturity bonds is the most direct way to achieve this.

Question 10

A financial commentator notes that the 10-year/3-month U.S. Treasury spread has been negative for the past two quarters. Based on historical evidence, which of the following statements is the most accurate interpretation of this signal?

  1. A recession is guaranteed to begin within the next six months, as the indicator has never produced a false signal.
  2. The Federal Reserve will immediately cut its policy rate to steepen the curve and avert an economic downturn.
  3. Investors collectively anticipate lower future short-term interest rates, likely due to a projected economic slowdown. (correct answer)
  4. The U.S. government is expected to have difficulty refinancing its short-term debt obligations.
Explanation: An inverted yield curve (negative spread) is a powerful leading indicator of recessions, but it is not a guarantee and the timing is uncertain. Its shape reflects market expectations. Investors are willing to accept lower yields on long-term bonds than on short-term bills because they expect short-term rates to fall significantly in the future, which is a typical feature of an economic slowdown or recession when the central bank eases monetary policy.

Question 11

A Chief Financial Officer (CFO) of a corporation with a strong credit rating is planning to issue new debt to finance a long-term capital project. The Treasury yield curve is currently steeply inverted. From a cost-of-capital perspective, how would this shape of the yield curve most likely influence the CFO's decision regarding the maturity of the new debt?

  1. It would create a strong incentive to issue very short-term debt, such as commercial paper, to minimize current interest expense.
  2. It would encourage the issuance of long-term bonds to lock in relatively low borrowing costs for the life of the project. (correct answer)
  3. It would render the decision neutral, as corporate credit spreads are determined independently of the Treasury yield curve's shape.
  4. It would suggest delaying the debt issuance altogether until the yield curve returns to a normal, upward-sloping shape.
Explanation: An inverted yield curve means that long-term interest rates are lower than short-term interest rates. For a CFO financing a long-term project, this presents an opportunity to issue long-term debt and lock in these relatively low long-term rates for the duration of the project. This aligns the maturity of the financing with the life of the asset while taking advantage of the favorable rate environment at the long end of the curve.

Question 12

The current 1-year Treasury yield is 2.0% and the 2-year Treasury yield is 2.5%. An analyst estimates that the liquidity premium required for the second year of a two-year investment is 0.2% (20 basis points). Based on the liquidity preference theory, what is the market's expected 1-year Treasury yield one year from now?

  1. 2.5%
  2. 2.8% (correct answer)
  3. 3.0%
  4. 3.2%
Explanation: First, calculate the 1-year forward rate one year from now (f1,1). Using the formula (1+y2)^2 = (1+y1)(1+f1,1), we get (1.025)^2 = (1.020)(1+f1,1), which solves to f1,1 ≈ 3.0%. The liquidity preference theory states that the forward rate is a biased predictor of the expected future spot rate, where f1,1 = E(r1,1) + LP. The forward rate exceeds the expected future spot rate by the amount of the liquidity premium. Therefore, E(r1,1) = f1,1 - LP = 3.0% - 0.2% = 2.8%.

Question 13

An investor holds a portfolio of long-duration U.S. Treasury bonds. The yield curve, which was previously normal, begins to steepen significantly, with long-term yields rising much faster than short-term yields. What is the most immediate impact on the investor's portfolio and the most logical corresponding strategic adjustment?

  1. The portfolio's market value will decrease; the investor should shorten the portfolio's overall duration. (correct answer)
  2. The portfolio's market value will increase; the investor should sell to realize gains.
  3. The portfolio's yield-to-maturity will decrease; the investor should hold the bonds to maturity to avoid losses.
  4. The portfolio's credit risk will increase; the investor should reallocate to higher-quality government bonds.
Explanation: When you encounter questions about bond portfolios and yield curve changes, focus on the fundamental inverse relationship between interest rates and bond prices, especially considering duration risk. A steepening yield curve with long-term rates rising faster than short-term rates creates immediate problems for long-duration Treasury bonds. Since bond prices move inversely to yields, when long-term yields rise significantly, long-duration bonds experience substantial price declines. The portfolio's market value will decrease because existing bonds with lower coupon rates become less attractive compared to newly issued bonds offering higher yields. Duration measures this price sensitivity—longer duration means greater price volatility when rates change. The logical response is shortening duration to reduce interest rate risk, making answer A correct. Answer B is wrong because rising yields cause bond prices to fall, not rise—there are no gains to realize. Answer C misunderstands the mechanics: when market yields rise, existing bonds' yield-to-maturity doesn't decrease, and holding to maturity while suffering opportunity costs isn't optimal when you expect continued rate increases. Answer D confuses interest rate risk with credit risk—U.S. Treasury bonds don't have credit risk issues, and the problem stems from rate changes, not creditworthiness. Remember this key pattern: steepening yield curves hurt long-duration bond holders through price declines. When you see yield curve steepening scenarios, immediately think about duration risk and the inverse price-yield relationship. Duration management becomes crucial when rate environments shift unfavorably.

Question 14

For several months, the Treasury yield curve has been flat, and a regional bank's net interest margin (NIM) has been steadily declining. Which of the following actions by the central bank would be most beneficial for directly improving the bank's core profitability?

  1. A steepening of the yield curve, where long-term rates rise relative to short-term rates. (correct answer)
  2. A parallel downward shift of the yield curve by 50 basis points.
  3. A further flattening of the yield curve through targeted purchases of long-term bonds.
  4. An inversion of the yield curve, where short-term rates rise above long-term rates.
Explanation: When you encounter questions about bank profitability and yield curves, focus on how banks make money: they borrow short-term (deposits) and lend long-term (loans). A bank's net interest margin (NIM) is the difference between what they earn on loans versus what they pay on deposits. A flat yield curve creates pressure because short-term and long-term rates are similar, squeezing this profit margin. Answer A is correct because a steepening yield curve where long-term rates rise relative to short-term rates directly expands the bank's profit margin. The bank can charge higher rates on new long-term loans while keeping deposit rates relatively low, immediately improving NIM and core profitability. Answer B (parallel downward shift) would lower both lending and deposit rates proportionally, maintaining the same narrow spread that's causing the profitability problem. Answer C (further flattening) would actually worsen the situation by making long-term rates even closer to short-term rates, further compressing the bank's margin. Answer D (yield curve inversion) creates the worst scenario for banks—short-term funding costs exceed long-term lending rates, potentially making new lending unprofitable. Remember that regional banks typically have traditional business models focused on taking deposits and making loans, unlike investment banks that rely more on fees. When you see yield curve questions involving commercial banks, always think about how the shape affects the spread between their funding costs and lending income—steeper curves favor banks, flatter or inverted curves hurt them.

Question 15

An analyst observes an unusual 'kink' in the Treasury yield curve, where the 7-year Treasury yield is significantly lower than both the 5-year and 10-year yields. All of these bonds are actively traded and have similar liquidity. Which of the following is the most plausible explanation for this anomaly under the Market Segmentation Theory?

  1. The market universally expects a sharp but temporary drop in interest rates in exactly six years.
  2. The inherent maturity risk premium for 7-year bonds is inexplicably negative while it is positive for other maturities.
  3. A large foreign central bank is executing a targeted purchase program for 7-year Treasuries to manage its currency reserves. (correct answer)
  4. The U.S. Treasury recently issued a smaller-than-expected volume of 5-year and 10-year notes.
Explanation: The Market Segmentation Theory posits that the yields for different maturities are determined by the supply and demand within distinct maturity segments. A plausible explanation for a single maturity having an unusually low yield is a large, non-speculative source of demand that is relatively insensitive to yield. A targeted purchase program by a large entity, like a foreign central bank, fits this description perfectly, as it would drive up the price and push down the yield for that specific 7-year maturity, creating a 'kink'.

Question 16

A commercial bank's primary business model involves borrowing short-term via customer deposits and lending long-term via mortgages. The U.S. Treasury yield curve has recently inverted, with the 3-month T-bill yielding 5.0% and the 10-year T-note yielding 4.5%. Which of the following describes the most likely immediate consequence for the bank and a logical strategic response?

  1. The bank's net interest margin will expand, prompting an increase in its long-term mortgage lending activity.
  2. The bank's net interest margin will compress, prompting a portfolio shift toward shorter-duration commercial loans. (correct answer)
  3. The market value of its existing fixed-rate mortgage portfolio will increase, leading to higher reported earnings.
  4. The bank will face significantly increased credit risk, forcing it to increase its loan loss provisions immediately.
Explanation: An inverted yield curve means the bank's cost of short-term borrowing (tied to short-term rates) is higher than the interest it earns on new long-term loans (tied to long-term rates). This compresses the net interest margin (NIM), reducing profitability. A logical strategic response is to reduce this maturity mismatch by shifting the lending portfolio toward shorter-duration assets whose rates will reset more quickly.

Question 17

An analyst observes a perfectly flat Treasury yield curve where all maturities yield 3.0%. According to the pure expectations theory of interest rates, what is the market's implicit forecast for the one-year Treasury yield, one year from now?

  1. Less than 3.0%
  2. Exactly 3.0% (correct answer)
  3. Greater than 3.0%
  4. Cannot be determined without knowing the liquidity premium.
Explanation: The pure expectations theory posits that long-term interest rates are an average of current and expected future short-term rates. For the 2-year yield to be 3.0% when the current 1-year yield is 3.0%, the expected 1-year yield one year from now must also be 3.0%. Any other value would result in a sloping, not flat, yield curve. The theory assumes no liquidity premium, so that information is not needed.

Question 18

A pension fund manager observes a consistently upward-sloping yield curve over many years, even during periods when the consensus economic forecast is for stable, low inflation and steady central bank policy rates. Which theory of the term structure of interest rates best explains this persistent upward slope?

  1. The pure expectations theory, as investors are systematically overestimating future rate increases.
  2. The efficient market hypothesis, as all available information is already incorporated into bond prices.
  3. The market segmentation theory, as demand from short-term investors is consistently overwhelming supply across all maturities.
  4. The liquidity preference theory, as investors demand a maturity risk premium for holding longer-term bonds. (correct answer)
Explanation: When you encounter questions about persistent yield curve patterns that don't align with economic expectations, you need to consider the different theories explaining term structure behavior and what drives long-term versus short-term rates. The liquidity preference theory provides the best explanation for this scenario. This theory recognizes that longer-term bonds carry additional risks beyond just interest rate expectations—specifically, greater price volatility and uncertainty about future conditions. Even when investors expect stable rates and low inflation, they still demand extra compensation (a liquidity or maturity risk premium) for tying up their money longer. This premium creates a natural upward slope to the yield curve, regardless of rate expectations. Let's examine why the other options fall short. Choice A misapplies the pure expectations theory, which would actually predict a flat yield curve during periods of stable rate expectations, not an upward slope. The theory suggests systematic overestimation, but the persistence across many years makes this unlikely. Choice B incorrectly invokes the efficient market hypothesis, which explains how information gets incorporated into prices but doesn't address why yield curves slope upward. Choice C misrepresents market segmentation theory—overwhelming short-term demand would typically flatten or invert the curve, not create consistent upward slopes across all maturities. Study tip: Remember that liquidity preference theory explains why yield curves have a "default" upward slope even in neutral economic environments. The key insight is that maturity risk premiums exist independently of interest rate expectations, making this theory crucial for explaining persistent yield curve patterns.

Question 19

An investor holds a portfolio of long-duration U.S. Treasury bonds. The yield curve, which was previously normal, begins to steepen significantly, with long-term yields rising much faster than short-term yields. What is the most immediate impact on the investor's portfolio and the most logical corresponding strategic adjustment?

  1. The portfolio's market value will decrease; the investor should shorten the portfolio's overall duration. (correct answer)
  2. The portfolio's market value will increase; the investor should sell to realize gains.
  3. The portfolio's yield-to-maturity will decrease; the investor should hold the bonds to maturity to avoid losses.
  4. The portfolio's credit risk will increase; the investor should reallocate to higher-quality government bonds.
Explanation: When you encounter questions about bond portfolios and yield curve changes, focus on the fundamental inverse relationship between interest rates and bond prices, especially considering duration risk. A steepening yield curve with long-term rates rising faster than short-term rates creates immediate problems for long-duration Treasury bonds. Since bond prices move inversely to yields, when long-term yields rise significantly, long-duration bonds experience substantial price declines. The portfolio's market value will decrease because existing bonds with lower coupon rates become less attractive compared to newly issued bonds offering higher yields. Duration measures this price sensitivity—longer duration means greater price volatility when rates change. The logical response is shortening duration to reduce interest rate risk, making answer A correct. Answer B is wrong because rising yields cause bond prices to fall, not rise—there are no gains to realize. Answer C misunderstands the mechanics: when market yields rise, existing bonds' yield-to-maturity doesn't decrease, and holding to maturity while suffering opportunity costs isn't optimal when you expect continued rate increases. Answer D confuses interest rate risk with credit risk—U.S. Treasury bonds don't have credit risk issues, and the problem stems from rate changes, not creditworthiness. Remember this key pattern: steepening yield curves hurt long-duration bond holders through price declines. When you see yield curve steepening scenarios, immediately think about duration risk and the inverse price-yield relationship. Duration management becomes crucial when rate environments shift unfavorably.

Question 20

Assume the U.S. Treasury yield curve is perfectly flat at 4.0%. The central bank then makes an unexpected announcement that causes all yields to instantly rise by 50 basis points, resulting in a new, parallel flat yield curve at 4.5%. Which of the following bond portfolios would experience the largest percentage price decline?

  1. A portfolio of floating-rate Treasury notes with an average maturity of 5 years.
  2. A portfolio consisting of a single zero-coupon Treasury bond with 2 years to maturity.
  3. A portfolio consisting of a single 30-year Treasury bond with a 4.0% coupon. (correct answer)
  4. A portfolio consisting of a single zero-coupon Treasury bond with 10 years to maturity.
Explanation: The percentage price change of a bond for a given change in yield is determined by its duration. For a parallel shift in the yield curve, the bond with the highest duration will experience the largest price change. Comparing the options: floating-rate notes have near-zero duration. A 2-year zero has a duration of 2. A 10-year zero has a duration of 10. A 30-year bond paying a 4.0% coupon when yields are 4.0% (par bond) has a modified duration of approximately 17-18 years. Since the 30-year coupon bond has the highest duration, it will suffer the largest percentage price decline.