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Answer: above par
## Explanation This question tests understanding of bond horizon yield and the relationship between purchase price, sale price, and yield to maturity. **Key Information:** - Bond purchased at issuance for 98 (discount to par) - 5-year bond held for 2 years - Coupon payments reinvested at original YTM - Realized horizon yield = Original YTM **Analysis:** 1. **Purchase at Discount:** When a bond is purchased at a discount (98 < 100), the YTM is higher than the coupon rate because the investor receives both coupon payments and capital appreciation as the bond approaches maturity. 2. **Horizon Yield Concept:** The realized horizon yield depends on: - Coupon payments received - Reinvestment income from coupons - Capital gain/loss from sale price 3. **Mathematical Relationship:** For the realized horizon yield to equal the original YTM when the bond was purchased at a discount: - The investor must sell the bond at a price **above par** to compensate for the fact that they didn't hold the bond to maturity to realize the full capital appreciation. 4. **Intuition:** When you buy a bond at a discount, part of your total return comes from the bond's price rising to par at maturity. If you sell before maturity, you need to sell at a premium to par to capture enough capital gain to maintain the same yield. **Example Calculation (Illustrative):** If a 5-year bond with 5% coupon is purchased at 98 (YTM ≈ 5.47%), and held for 2 years: - If sold at par: horizon yield would be lower than original YTM - If sold above par: horizon yield could equal original YTM **Therefore, the correct answer is C: above par.**
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An investor purchased a 5-year bond at issuance for 98 per 100 of par value and held the bond for two years. Coupon payments were reinvested at the original yield to maturity. If the realized horizon yield is equal to the original yield to maturity, the investor most likely sold the bond at a price:
A
below par
B
equal to par
C
above par
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