China importers would like to spend $215,000 to expand its warehouse. however, the company has a loan outstanding that must be repaid in 2.5 years and thus will need the $215,000 at that time. the warehouse expansion project is expected to increase the cash inflows by $60,000 in the first year, $140,000 in the second year, and $150,000 a year for the following 2 years. should the firm expand at this time? why or why not? multiple choice yes; a. because the money will be recovered in 2.10 years yes; b. because the money will be recovered in 1.87 years no; c. because the project never pays back no; d. because the money will not be recovered in time to repay the loan yes; e. because the money will be recovered in 1.69 years

Yes;a.because the money will be recovered in 2.10 years

Explanation:

Assume the company takes uses the loan to expand, how much time will it take to pay back the loan?

This can be expressed as;

T=F+S+T

where;

T=total cash flow needed to repay the loan

F=cash flow for the first year

S=cash flow for the second year

T=cash flow for needed in the third year to pay the loan

In our case;

T=$215,000

F=$60,000

S=$140,000

T=unknown

replacing;

215,000=60,000+140,000+T

T+200,000=215,000

T=215,000-200,000=15,000

The cash flow needed in the third year to pay the loan=$15,000

Determine how long it will take to raise $15,000 in the third year;

total cash flow in the third year=$150,000

1 year=$150,000

To raise $15,000=15,000/150,000=0.1 years

Total number of years=1+1+0.1=2.1 years

It will take 2.1 years to pay back the loan.

The firm should expand since the money will be recovered in 2.1 years even before the repayment period.