9. Use the provided chart to solve this problem. Show your work. 9. An engineer is considering the purchase of an annuity that will pay $1000 per year forten years. The engineer feels he should obtain a 5% rate of return on the annuity afterconsidering the effect of an estimated 6% inflation per year. What should he bewilling to pay to purchase the annuity? factor namesingle paymentcompound amountsingle paymentpresent worthuniform seriessinking fundcapital recoveryuniform seriescompound amountuniform seriespresent worthuniform gradientpresent worthuniform gradientfuture worthuniform gradientuniform seriesconvertsP to FF to PF to AP to AA to FA to PG to PG to FG to Asymbol(F/P, i%, n)(P/F, 1%, n)(A/F, i%, n)(A/P, i%, n)(F/A, 1%, n)(P/A, i%, n)(P/G,i%, n)(F/G,1%, n)(A/G, i%, n)formula(1 + i)"(1 + i)-¹i(1 + i)" - 1i(1+i)"(1+i)n-1(1+i)n-1i(1+i)n-1i(1+i)n1-i(1+i)n-11² (1+i)nni(1+i)n(1+i)n-1nin(1+i)n-1

Present value is the value of investment in today's dollar. Future value is the value of investment…

9. An engineer is considering the purchase of an annuity that will pay $1000 per year for ten years. The engineer feels he should obtain a 5% rate of return on the annuity after considering the effect of an estimated 6% inflation per year. What should he be willing to pay to purchase the annuity?

9. An engineer is considering the purchase of an annuity that will pay $1000 per year for ten years. The engineer feels he should obtain a 5% rate of return on the annuity after considering the effect of an estimated 6% inflation per year. What should he be willing to pay to purchase the annuity?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

9. Use the provided chart to solve this problem. Show your work.

9. An engineer is considering the purchase of an annuity that will pay $1000 per year for
ten years. The engineer feels he should obtain a 5% rate of return on the annuity after
considering the effect of an estimated 6% inflation per year. What should he be
willing to pay to purchase the annuity?

factor name
single payment
compound amount
single payment
present worth
uniform series
sinking fund
capital recovery
uniform series
compound amount
uniform series
present worth
uniform gradient
present worth
uniform gradient
future worth
uniform gradient
uniform series
converts
P to F
F to P
F to A
P to A
A to F
A to P
G to P
G to F
G to A
symbol
(F/P, i%, n)
(P/F, 1%, n)
(A/F, i%, n)
(A/P, i%, n)
(F/A, 1%, n)
(P/A, i%, n)
(P/G,i%, n)
(F/G,1%, n)
(A/G, i%, n)
formula
(1 + i)"
(1 + i)-¹
i
(1 + i)" - 1
i(1+i)"
(1+i)n-1
(1+i)n-1
i
(1+i)n-1
i(1+i)n
1-
i
(1+i)n-1
1² (1+i)n
n
i(1+i)n
(1+i)n-1
n
i
n
(1+i)n-1

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