5. Flexibility options Randall and Arts Inc. is looking at investing in a production facility that will require an initial investment of $500,000. The facility will have a three-year useful life, and it will not have any salvage value at the end of the projects life. If demand is strong, the facility will be able to generate annual cash flows of $260,000, but if demand turns out to be weak, the facility will generate annual cash flows of only $130,000. Randall and Arts Inc. thinks that there is a 50% chance that demand will be strong and a 50% chance that demand will be weak.

If the company uses a project cost of capital of 13%, what will be the expected net present value (NPV) of this project?

-$19,788

-$25,724

-$29,681

-$39,575

Randall and Arts Inc. could spend $510,000 to build the facility. Spending the additional $10,000 on the facility will allow the company to switch the products they produce in the facility after the first year of operations if demand turns out to be weak in year 1. If the company switches product lines because of low demand, it will be able to generate cash flows of $255,000 in years 2 and 3 of the project. What is the expected NPV of this project if Randall and Arts Inc. decides to invest the additional $10,000 to give themselves a flexibility option? (Note: Do not round your intermediate calculations.)

$38,418

$82,262

$42,687

$32,905

What will be the value of Randall and Arts Inc.s flexibility option?

$74,036

$42,687

$32,905

$83,262

$38,418

Can you please show how to do by hand