Math Problem Statement
astTrack Bikes, Inc. is thinking of developing a new composite road bike. Development will take
66
years and the cost is
$ 182 comma 000$182,000
per year. Once in production, the bike is expected to make
$273 comma 000273,000
per year for
1010
years. Assume the cost of capital is
9 %9%.
a. Calculate the NPV of this investment opportunity, assuming all cash flows occur at the end of each year. Should the company make the investment?
b. By how much must the cost of capital estimate deviate to change the decision?**
(Hint:
Use Excel to calculate the IRR.)
c. What is the NPV of the investment if the cost of capital is
14 %14%?
Note:
Assume that all cash flows occur at the end of the appropriate year and that the inflows do not start until year
Question content area bottom
Part 1
a. Calculate the NPV of this investment opportunity, assuming all cash flows occur at the end of each year. Should the company make the investment?
The present value of the costs is
$816,437.18816,437.18.
(Round to the nearest dollar.)
Part 2
The present value of the benefits is
$1,044,6731,044,673.
(Round to the nearest dollar.)
Part 3
The NPV of the investment opportunity is
$228,236228,236.
(Round to the nearest dollar.)
Part 4
You should
accept
the investment because the NPV is
positive
.
(Select from the drop-down menus.)
Part 5
b. By how much must the cost of capital estimate deviate to change the decision?
(Hint:
Use Excel to calculate the IRR.)
The IRR of the investment opportunity is
enter your response here%.
(Round to two decimal places.)
Solution
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Math Problem Analysis
Mathematical Concepts
Net Present Value (NPV)
Internal Rate of Return (IRR)
Time Value of Money
Discount Rate
Formulas
NPV = (Present Value of Benefits) - (Present Value of Costs)
IRR is the discount rate where NPV = 0
Present Value formula: PV = CF / (1 + r)^n
Theorems
Net Present Value (NPV) Theorem
Internal Rate of Return (IRR) Theorem
Suitable Grade Level
Undergraduate Business/Finance
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