Question
9. Consider a bullet portfolio comprising a 20 year zero coupon bond with a face value of 100,000 and a barbell portfolio comprising a 10
9. Consider a bullet portfolio comprising a 20 year zero coupon bond with a face value of 100,000 and a barbell portfolio comprising a 10 year zero coupon bond with a face value of 25,174 and a 30 year zero coupon bond with a face value of 91,898. The 10-year rate is 6.0% p.a. nominal, the 20-year rate is 6.5% p.a. nominal and the 30-year rate is 6.4% p.a. nominal. These portfolios have the same market value today. Assuming semi-annual compounding and that the yield curve shifts upwards by 100 basis points at all maturities then: A. The barbell outperforms the bullet by $106.97. B. The bullet outperforms the barbell by $106.97. C. The barbell outperforms the bullet by $159.18. D. The bullet outperforms the barbell by $159.18. E. The barbell outperforms the bullet by $29.47.
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