Question

Your buddy in mechanical engineering has invented a money machine. The main drawback of the machine is that it is slow. It takes one year to manufacture $100. ​However, once​ built, the machine will last forever and will require no maintenance. The machine can be built​ immediately, but it will cost $1,000 to build. Your buddy wants to know if he should invest the money to construct it. If the interest rate is 9.5% per​ year. a. What should your buddy​ do? b. What is your advice if the machine takes one year to​ build?

Answer 1

Answer:

 

Explanation:

a ) We shall calculate the NPV of the project . If it is positive , then money can be invested

Cash outflow in the beginning =1000

Present value of perpetual annuity of 100 at 9.5 %

100 / .095

= 1052.63

which is more than initial cash outflow

So NPV is positive

Hence money can be invested.

b )

If machine takes one year to build , first year cash outflow of 100 will be absent

Present value of 100 after 1 year

= 100 / 1.095

= 91.32

So present value of annuity

= 1052.63 - 91.32

= 961.31

This is less than 1000 so

NPV is negative.

Hence money can not be invested.