Final answer:
The calculated present value of the cash inflows produced by the factory, when discounted at a 12% rate, is $557,535.71. However, this value does not match any of the multiple-choice options given in the question. It is advised to double-check the calculations and provided options.
Step-by-step explanation:
To calculate the value of the factory using the provided cash inflows and the discount rate, you would discount each individual cash inflow by the discount rate at each period and sum them up to get the present value of all the cash inflows, which represents the value of the factory.
Calculations:
- Year 1 inflow: $150,000 / (1 + 0.12)^1 = $133,928.57
- Year 2 inflow: $210,000 / (1 + 0.12)^2 = $167,256.24
- Year 3 inflow: $360,000 / (1 + 0.12)^3 = $256,350.90
Total present value of cash inflows: $133,928.57 + $167,256.24 + $256,350.90 = $557,535.71
To answer the student's question, we will look at the options provided and determine if any of them match our calculation:
- A. $389,285.71
- B. $397,000.00
- C. $420,535.71
- D. $412,857.14
None of the answers match our calculation of $557,535.71. To ensure accuracy, it is recommended to review the calculation and compare it with the options given.