A multinational bank just bought two bonds each worth $10,000. One of the bonds pays a fixed interest of 5% semi-annually and the other pays LIBOR semi-annually. The six month LIBOR is at 5% currently. The risk manager of the bank is concerned about the sensitivity to interest rates.
Which of the following statements are true?
- The price of the bond paying floating interest is more sensitive to interest rates than the bond paying fixed interest.
- The price of the bond paying fixed interest is more sensitive to interest rates than the bond paying floating interest.
- Both bond prices are equally sensitive to interest rates.
- The given information is not enough to determine the sensitivity of the bond prices.
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