To find the balance in the account at the end of the calendar year, we calculate the effective interest rate, 6%/4 = 1.5% per quarter. Then, lumping the amounts at the effective dates. F = ($4000- $175)(F[P, 1.5%, 4)+ (S1200- $1800)(F/P, 1.5%, 3) + ($180- $800)(F/P, 1.5%, 2) + ($1600 - $1100)(F/P, 1.5%, 1) + $2300 = $3825(1.0614) -$600(1.0457)- $620(1.0302)+ $500(1.0150)+ $2300 %3D $5601.21

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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fee cash flow diagram

Example [11]
To find the balance in the account at the end of the calendar year, we calculate
the effective interest rate, 6%/4 = 1.5% per quarter. Then, lumping the amounts
at the effective dates.
F = ($4000- $175)(F/P, 1.5%, 4) + ($1200 - $1800)(F[P, 1.5%, 3)
+ ($180- $800)(F/P, 1.5%, 2) + ($1600 - $1100)(F/P, 1.5%, 1)+ $2300
= $3825(1.0614)-$600(1.0457)-$620(1.0302) + $500(1.0150)+ $2300
%3D
= $5601.21
%3D
Transcribed Image Text:Example [11] To find the balance in the account at the end of the calendar year, we calculate the effective interest rate, 6%/4 = 1.5% per quarter. Then, lumping the amounts at the effective dates. F = ($4000- $175)(F/P, 1.5%, 4) + ($1200 - $1800)(F[P, 1.5%, 3) + ($180- $800)(F/P, 1.5%, 2) + ($1600 - $1100)(F/P, 1.5%, 1)+ $2300 = $3825(1.0614)-$600(1.0457)-$620(1.0302) + $500(1.0150)+ $2300 %3D = $5601.21 %3D
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