At time 0, Heather invests $750 into Fund A that pays a varying force of interest of 0.09t until the end of the third year; after the third year, it pays an annual effective discount rate of 5.5% for three more years. Jane deposits $900 into Fund B that pays a constant force of interest, δ, for the first four years, and after that, pays an annual effective interest rate of 8.5% for three more years. Over the duration of her investment, Heather earned 25% more interest than Jane earned over the duration of her investment. Calculate δ.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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At time 0, Heather invests $750 into Fund A that pays a varying force of interest of 0.09t until the end of the third year; after the third year, it pays an annual effective discount rate of 5.5% for three more years. Jane deposits $900 into Fund B that pays a constant force of interest, δ, for the first four years, and after that, pays an annual effective interest rate of 8.5% for three more years. Over the duration of her investment, Heather earned 25% more interest than Jane earned over the duration of her investment. Calculate δ. 

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