Expando, Inc. is considering the possibility of building an additional factory that would produce a new addition to its product line. The company is currently considering two options. The first is a small facility that it could build at a cost of $8 million. If demand for new products is low, the company expects to receive $10 million in discounted revenues (present value of future revenues) with the small facility. On the other hand, if demand is high, it expects $12 million in discounted revenues using the small facility. The second option is to build a large factory at a cost of $11 million. Were demand to be low, the company would expect $12 million in discounted revenues with the large plant. If demand is high, the company estimates that the discounted revenues would be $16 million. In either case, the probability of demand being high is 0.30, and the probability of it being low is 0.70. Not constructing a new factory would result in no additional revenue being generated because the current factories cannot produce these new products.

Required:
1. Calculate the NPV for the following:

a. Small facility
b. Do nothing
c. Large facility

2. The best decision to help Expando is:________

a. to build the large facility.
b. to build the small facility.
c. to do nothing.

Respuesta :

Answer:

1. Calculate the NPV for the following:

  • a. Small facility  = $2.6 million
  • b. Do nothing  = $0
  • c. Large facility = $2.2 million

2. The best decision to help Expando is:________

  • b. to build the small facility.

Since the NPV of building the small facility is higher than the NPV of building the larger facility or doing nothing, they should build the small facility.

Explanation:

the expected present value of revenue generated by small plant = (0.70 x $10 million) + (0.30 x $12 million) = $7 + $3.6 = $10.6 million

the expected present value of revenue generated by large plant = (0.70 x $12 million) + (0.30 x $16 million) = $8.4 $4.8 = $13.2 million

small plant's NPV = $10.6 - $8 = $2.6 million

large plant's NPV = $13.2 - $11 = $2.2 million

NPV of doing nothing = $0 - $0 = $0