Inflation Adjustments The Rodriguez Company is considering an average-risk inves
ID: 2743970 • Letter: I
Question
Inflation Adjustments
The Rodriguez Company is considering an average-risk investment in a mineral water spring project that has a cost of $165,000. The project will produce 950 cases of mineral water per year indefinitely. The current sales price is $139 per case, and the current cost per case is $108. The firm is taxed at a rate of 30%. Both prices and costs are expected to rise at a rate of 3% per year. The firm uses only equity, and it has a cost of capital of 14%. Assume that cash flows consist only of after-tax profits, since the spring has an indefinite life and will not be depreciated.
What is the NPV of the project? Do not round intermediate steps. Round your answer to the nearest hundred dollars. (Hint: The project is a growing perpetuity, so you must use the constant growth formula to find its NPV.)
$
Should the firm accept the project?
-Select-NoYesItem 2
Suppose that total costs consisted of a fixed cost of $8,500 per year plus variable costs of $85 per unit, and suppose that only the variable costs were expected to increase with inflation. Would this make the project better or worse? Continue with the assumption that the sales price will rise with inflation.
This will make the project -Select-betterworseItem 3 .
Explanation / Answer
Net income= (sales-cost)*(1-tax)
=[950*(139-108)]*(1-0.3)
=$20615
this will increase by 3% every year and continue forever
The npv is given by
NPV=-investment+[20615/(1+14%)^1]+[20615*(1+3%)/(1+14%)2]+[20615*(1+3%)^2/(1+14%)^3]....
[20615/(1+14%)^1]+[20615/(1+14%)2]+[20615/(1+14%)^3]....
This sum to infinity in GP with
Sum= a*(1+r)/(1-r)
r=[20615*(1+3%)/(1+14%)2]/[20615/(1+14%)^1]
=0.9
=[[20615/(1+14%)^1]*(1+0.9)]/(1-0.9)
=$356,734.85
NPV=-165000+356734.85
=191,734.85
Yes they should accept the project since NPV is positive
In second case the fixed cost does not increase and because of it the net incomw will increase
and NPV will increase overall. This will make project better