Question

In: Finance

Net present value. Quark Industries has a project with the following projected cash​ flows: Initial​ cost:...

Net present value. Quark Industries has a project with the following projected cash​ flows: Initial​ cost: ​$210,000 Cash flow year​ one: ​$25,000 Cash flow year​ two: ​$72,000 Cash flow year​ three: ​$146,000 Cash flow year​ four: ​$146,000 a. Using a discount rate of 11​% for this project and the NPV​ model, determine whether the company should accept or reject this project. b. Should the company accept or reject it using a discount rate of 13​%? c. Should the company accept or reject it using a discount rate of 22​%?

Solutions

Expert Solution

a.Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

=25000/1.11+72000/1.11^2+146000/1.11^3+146000/1.11^4

=$283,888.00

NPV=Present value of inflows-Present value of outflows

=$283,888.00-$210,000

=$73,888.00(Approx).

Hence since NPV is positive;project must be accepted.

b.Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

=25000/1.13+72000/1.13^2+146000/1.13^3+146000/1.13^4

=$269240.31

NPV=Present value of inflows-Present value of outflows

=$269240.31-$210,000

=$59240.31(Approx).

Hence since NPV is positive;project must be accepted.

c.Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)

=25000/1.22+72000/1.22^2+146000/1.22^3+146000/1.22^4

=$215,173.37

NPV=Present value of inflows-Present value of outflows

=$215,173.37-$210,000

=$5,173.37(Approx).

Hence since NPV is positive;project must be accepted.


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