A 3 year bond with semiannual coupons of 13% has a yield of 18.92%. You are to u

Question

A 3 year bond with semiannual coupons of 13% has a yield of 18.92%. You are to use Excel's "SumProduct" function to compute the duration of this bond. Given two ranges of values, "SumProduct" computes their dot product. Create a table as shown, with entries appropriate to your bond, replacing the question marks with appropriate formulas. In a single cell, use the functions "SumProduct" and "Sum" to compute the duration of this bond using only the cells shown above. (a) What is the duration of this bond? (b) What formula using the functions SumProduct and Sum (and using 37 characters or less) calculates this duration?

Explanation / Answer

SUMPRODUCT(BC12,BD12)/(1+$BE$9)^BC12

106.5*3=319.5-Last year Redemption amount

Total amount=319.5+56.24=375.74

Duration=375.74/100=3.8

Face value Coupon Yield 100 0.13 0.1892 R/2 0.065 0.0946

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