Inflation Adjustments The Rodriguez Company is considering an average-risk inves
ID: 2765893 • 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 $155,000. The project will produce 950 cases of mineral water per year indefinitely. The current sales price is $144 per case, and the current cost per case is $109. The firm is taxed at a rate of 33%. Both prices and costs are expected to rise at a rate of 5% per year. The firm uses only equity, and it has a cost of capital of 15%. 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.)
$
Explanation / Answer
NPV is the present value of cashflows. So we will first calculate the cashflows
NPV = Initial Investment + Cashflows in year 1/(r-g)
r=15% cost of capital
g=5% growth
NPV =-155000 +22755
= 67775
Year 0 1 2 3 4 5 Mineral Cases 950.00 950.00 950.00 950.00 950.00 Sales Price per cases 144.00 151.20 158.76 166.70 175.03 Cost Per case 109.00 114.45 120.17 126.18 132.49 PBT 33250.00 34912.50 36658.13 38491.03 40415.58 Tax 10972.50 11521.13 12097.18 12702.04 13337.14 PAT 22277.50 23391.38 24560.94 25788.99 27078.44 Investment -155000 22277.50 23391.38 24560.94 25788.99 27078.44