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Answer: above par
## Explanation This question involves understanding the relationship between bond purchase price, yield to maturity, and realized horizon yield. **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. **Initial Purchase at Discount:** When a bond is purchased at a discount (98 < 100), the YTM is higher than the coupon rate. 2. **Realized Horizon Yield Calculation:** The realized horizon yield considers: - Coupon payments received - Reinvestment income from coupons - Capital gain/loss from selling 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 have sold the bond at a **price above par**. **Reasoning:** - If the bond was purchased at 98 (discount), there's an expected capital appreciation as the bond approaches maturity. - To achieve the same YTM as originally calculated (which included this capital appreciation), when selling after only 2 years (with 3 years remaining), the bond must be sold at a premium to compensate for the shorter holding period. - The bond's price would have risen from 98 toward par (100) as it approached maturity, but to achieve the original YTM with only 2 years of holding, it needs to be sold above par. **Alternative Perspective:** If the bond was sold at par or below par, the realized horizon yield would be lower than the original YTM because: - Selling at par: Would give some capital gain (from 98 to 100) but not enough to match original YTM over shorter period - Selling below par: Would result in capital loss, reducing yield below original YTM Therefore, the bond must have been sold **above par** to achieve the same yield as the original YTM. **Answer: 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