This is a two-part question.
PART 1: A firm is considering an unusual project of the selling of
a machine today that will result in an immediate inflow of
$540. Without the use of the machine the firm will
incur an annuity of expenditures or outflows of
$89 per year that begin at the end of year one,
and continue for 6 consecutive years. The required
rate of return is 7.70%. What is the project's net
present value?
ANSWER TO PART 1: $
Place your answer in dollars and cents. If your answer is negative,
then indicate this by placing a "minus" sign before the number. Do
not use a dollar sign or comma. For example, an answer of negative
one thousand one hundred and eleven dollars as -1111. Work your
analysis using at least 4 decimal places of accuracy.
NOW GO ON TO THE SECOND PART!
PART 2. Given your NPV, should Scotch accept or reject the project?
Type the word "yes" if you believe they should go ahead with the
project or the word "no" if you believe they should not go ahead
with the project.
ANSWER To PART 2:
1)
Project | |||||||
Discount rate | 7.700% | ||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
Cash flow stream | 540 | -89 | -89 | -89 | -89 | -89 | -89 |
Discounting factor | 1.000 | 1.077 | 1.160 | 1.249 | 1.345 | 1.449 | 1.561 |
Discounted cash flows project | 540.000 | -82.637 | -76.729 | -71.243 | -66.150 | -61.420 | -57.029 |
NPV = Sum of discounted cash flows | |||||||
NPV Project = | 124.79 | ||||||
Where | |||||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||||
Discounted Cashflow= | Cash flow stream/discounting factor |
2)
Accept project as NPV is positive
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