Question

The management of Wyoming Corporation is considering the purchase of a new machine costing $375,000. The company's desired rate of return is 6%. The present value factor for an annuity of $1 at interest of 6% for 5 years is 4.212. In addition to the foregoing information, use the following data in determining the acceptability of this investment: ​
Year Income from Operations Net Cash Flow
1 $18,750 $93,750
2 18,750 93,750
3 18,750 93,750
4 18,750 93,750
5 18,750 93,750 ​ ​

The present value index for this investment is

a. 0.95
b. 1.05
c. 1.25
d. 1.00

Answer 1

Answer:

Option B is the correct answer,1.05

Explanation:

Present value index can be computed using the below formula:

present value index=present value of cash inflows/initial amount invested

present value of cash inflows=annual net cash flow*present value factor of annuity

annual net cash flow=$93,750

present value factor of annuity=4.212

present value of cash inflows=$93,750*4.212=$394,875.00  

initial amount invested is $375,000

present value index=$394,875.00/$375,000 =1.053

The present value index of this project is approximately 1.05,which is the option B in the multiple choices