# Questions on tax accounting

5 QUESTIONS

What is the future worth of an equal quarterly payment series of \$2,500 for 10 years, if the interest rate is 9% per year, compounded monthly?
A series of five constant dollar (or real-dollar) payments, beginning with \$6,000 at the end of the first year, are increasing at the rate of 5% per year. Assume that the average general inflation rate is 4%, and the market interest rate is 11% during this inflationary period. What is the equivalent present worth of the series?
You are considering purchasing a new injection molding machine. This machine will have an estimated service life of 10 years with a negligible after tax salvage value. Its annual net after tax operating cash flows are estimated to be \$60,000. To expect a 15% rate of return on investment, what would be the maximum amount that should be spent on purchasing the injection molding machine?
A local county is considering purchasing some dump trucks for the trash pickups. Each truck will cost \$55,000 and have an operating and maintenance cost that starts at \$18,000 the first year and increases by \$3,000 per year. Assume the salvage value is \$12,000 at the end of 5 years and the interest rate is 10% per year compounded monthly. Please find the equivalent annual cost of owning and operating each truck and cost per mile of the truck if the truck is driven 20,000 miles per year

The following information on two investment project is given:
• IRR of project A = 16%.• IRR of project B = 16%.• Both projects have a service life of 6 years and need the same initial investment of \$23,000.• IRR on incremental cash flows (A–B) = 24%.

If your MARR is 20%, which project do you choose, and why assuming that you have \$50,000 in hand at time 0.

Factor
Name
Formula
Purpose

(F/P, i, N)
Single payment compound amount factor

Moves a single payment to N periods later in time

(P/F, i, N)
Single payment present worth factor

Moves a single payment to N periods earlier in time

(A/F, i, N)
Sinking Fund factor

Takes a single payment and spreads into a uniform series over N earlier periods. The last payment in the series occurs at the same time as F.

(F/A, i, N)

Uniform Series Compound Amount factor

Takes a uniform series and moves it to a single value at the time of the last payment in the series.

(A/P, i, N)
Capital Recovery Factor

Takes a single payment and spreads it into a uniform series over N later periods. The first payment in the series occurs one period later than P.

(P/A, i, N)
Uniform Series Present Worth Factor

Takes a uniform series and moves it to a single payment one period earlier than the first payment of the series.

(P/G, i, N)

Takes a arithmetic gradient series and moves it to a single payment two periods earlier than the first nonzero payment of the series.

(A/G, i, N)
Arithmetic Gradient to Uniform Series Factor

Takes a arithmetic gradient series and converts it to a uniform series. The two series cover the same interval, but the first payment of the gradient series is 0.

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