solution

Peter has a business opportunity that requires him to invest $10,000 today to receive $12,000 in one

year. He can either use $10,000 that he already has for this investment or borrow the money from his

bank at an interest rate of 10%. However, the $10,000 he has right now is needed for urgent repairs to

his home, repairs that will cost at least $15,000 if he delays them for a year. Should Peter make the

investment? If so, which alternative (b-d) is best? (Note: It’s okay in this case to consider the

financing decision along with the investment decision.)

a) No, since the net present value (NPV) of the investment, should he take it, is less than the net

present value (NPV) of the home repairs if he delays them for one year.

b) Yes, since he can borrow the $10,000 from a bank, repair his home, invest $10,000 in the

business opportunity, which has an NPV > $0 will mean that he will still come out ahead

after paying off the loan.

c) Yes, since the net present value (NPV) of the investment is greater than zero he can invest the

$10,000 in the business opportunity, and then next year use this money plus the benefit from

this money to make the necessary home repairs.

d) Yes, since the net present value (NPV) of the investment, should he take it, is greater than the

NPV of the home repairs if he delays for one year.

 
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