Exercise-22: Net present value (NPV) computation with working capital
Learning objective:
This problem illustrates the net present value (NPV) computation when working capital is involved in a proposal.
Universal Trading Company has obtained a license to introduce a new product for 6 years. The product would be purchased from the manufacturing company for $10 per unit and sold to customers for $20. Estimated annual cash expenses to sell the new product would be $18,000. Other important information associated with the new product is given below:
- Cost of equipment needed: $30,000
- Working capital needed: $40,000
- Repairs and maintenance of equipment after 5 years: $2,500
- Residual value of equipment after 6 years: $5,000
The working capital would be released at the end of 6-year period. Expected annual sales are 5,000 units of product. The company’s discount rate is 16%.
Required:
- Compute net present value (NPV) of the new product. (Ignore income tax).
- Would you recommend the addition of new product?
Solution:
(1) Net present value (NPV) of new product:
*Value from “present value of an annuity of $1 in arrears table“.
**Value from “present value of $1 table“.
(2) Conclusion:
Yes, the addition of new product is recommended to Universal Trading Company because its net present value (NPV) is positive.
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