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Which bonds price would be the most sensitive to an unexpected change in the interest rate? Please provide the formula you used, and show your

Which bonds price would be the most sensitive to an unexpected change in the interest rate? Please provide the formula you used, and show your work. a) A bond with a 5% coupon rate and 10 years to maturity b) A zero coupon bond with 15 years to maturity c) A zero coupon bond with 10 years to maturity d) A bond with a 10% coupon rate and 10 years to maturity.

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