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Consider the following T-bonds, prices are taken on 10.20.2023: Maturity Coupon Bid price Ask price Yield Duration 5/15/2043 2.875% 70.094 70.104 5/15/2043 3.875% 87.216 87.216

Consider the following T-bonds, prices are taken on 10.20.2023:

Maturity Coupon Bid price Ask price Yield Duration
5/15/2043 2.875% 70.094 70.104
5/15/2043 3.875% 87.216 87.216
8/15/2053 4.125% 85.096 85.106

  1. Why are the bonds selling at discount?
  2. Why are the coupon rates of the two bonds maturing in 5/15/2043 different?
  3. A pension fund manager has $10m invested in bond 1, $25m invested in bond 2, and $15m in bond 3. What is the weighted average Duration of the portfolio? What will be the total change in value of his portfolio if interest rates increase by 75BP?
  4. Which of the three bonds is the best choice for investment now if you expect long-term interest rates to drop?

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