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Consider the 12-year mortgage with quarterly installments in Exercise 8.11. Calculate the percentage change in the sum of the present values of the installments if

Consider the 12-year mortgage with quarterly installments in Exercise 8.11. Calculate the percentage change in the sum of the present values of the installments if interest rate drops from 12% to 11.4% (i.e. drops of 60 basis points) by

(a) using the modified duration approximation

(b) an exact calculation

PLEASE SHOW ALL WORK BY HAND, WITHOUT USING A FINANCE CALCULATOR OR EXCEL. THANK YOU.

Exercise 8.11: Calculate the Macaulay duration of a 12-year mortgage with quarterly installments. Interest rate is 12% compounded quarterly.

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