Question

A geometric gradient that increases at f= 8% per year for 14 years is shown in the accompanying diagram. The annual interest* More Info $600(1.08)13 $600(1.08) $600 1 0 1 2 13 14 Years Print Donei More Info Discrete Compounding; i = 8% Uniform Series Single Payment Compound Amount Factor To Find F Given P FIP 1.0800 1.Discrete Compounding; i = 15% Uniform Series Single Payment Compound Amount Factor To Find F Given P F/P 1.1500 1.3225 1.5209

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Answer #1

n=14

Growth rate,f=8%

r=15%

A=$600

PW of geometric gradient=A*(1-(1+g)^n/(1+r)^n)/(r-g)

=600*(1-(1+8%)^14/(1+15%)^14)/(15%-8%)

=600*(1-(2.9372/7.0757)/7%

=600*(1-0.4151)/0.07

=600*0.5849/0.07

=$5013.43

Hemce PW=$5013

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