1. two sources of income with equal present valuec C at time 0 provide annual payents in arrears during 10 years. The first product, i.e. Product 1, pays 50,000 - 2,000k, where k is measured in years, and the second product pays a constant annual amount of b. The present vaues are calculated using a force of interest of delta(t) = 0.05 - 0.002t, where t is measured in years.

EBK CFIN
6th Edition
ISBN:9781337671743
Author:BESLEY
Publisher:BESLEY
Chapter4: Time Value Of Money
Section: Chapter Questions
Problem 15PROB
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two sources of income with equal present valuec C at time 0 provide annual payents in arrears during 10 years. The first product, i.e. Product 1, pays 50,000 - 2,000k, where k is measured in years, and the second product pays a constant annual amount of b. The present vaues are calculated using a force of interest of delta(t) = 0.05 - 0.002t, where t is measured in years.

 
derive a general expression for the pv of each income stream in function of k, C, and b and without integrals.
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