Figure 2.3 (above) shows that the term structure of interest rates can be declining, with short-term spot
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Figure 2.3 (above) shows that the term structure of interest rates can be declining, with short-term spot rates higher than long-term spot rates. How steep can the decline in spot rates be? Consider two STRIPS: One has 3-years to maturity and yields a continuously compounded rate r(0, 3) = 10%, while the second has 5 years to maturity and yields a continuously compounded rate r(0, 5) = 5%. Discuss whether this scenario is possible, and, if not, what arbitrage strategy could be set up to gain from the mispricing.
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Figure 2.3 The Shapes of the Term Structure A: 10/30/1992 : Increasing B: 11/30/2000 : Decreasing 8. 6.4 7 6.2 5.8 5.6 5.4 10 2 10 Time to Maturity Time to Maturity C: 03/31/2000 : Hump D: 07/31/1989 : Inverted Hump 6.4 6.3 7.9 318 62 6.1 7.7 7.6 5.9 7.5 74 0. 6 8 Time to Maturity 2 8. 10 2 10 Time to Maturity Interest Rate (%) Interest Rate (%) Interest Rate (%) Interest Rate (%) Figure 2.3 The Shapes of the Term Structure A: 10/30/1992 : Increasing B: 11/30/2000 : Decreasing 8. 6.4 7 6.2 5.8 5.6 5.4 10 2 10 Time to Maturity Time to Maturity C: 03/31/2000 : Hump D: 07/31/1989 : Inverted Hump 6.4 6.3 7.9 318 62 6.1 7.7 7.6 5.9 7.5 74 0. 6 8 Time to Maturity 2 8. 10 2 10 Time to Maturity Interest Rate (%) Interest Rate (%) Interest Rate (%) Interest Rate (%)
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