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### Question

1. What is the future value for a lump sum of \$6000 invested at 3% for five years?

2. What is present value for a lump sum of \$15,000 to be received in eight years when the opportunity cost rate is 4%?

3. What is the future value for a lump sum of \$2000 invested at 8% compounded quarterly for five years.  Note – this is equivalent to 2% per period for 20 periods such that f(i,n) = f(0.02,20) on Table 18-1.

4. What is the present value of a perpetuity of \$25,000 a year if the appropriate discount rate is 6%?

5. What is the effective annual rate (EAR) if the stated rate is 12% and compounding occurs monthly?

6. What is the future value of an annuity paying \$2,000 annually at 5% interest for 30 years?

7. What is the present value of an annuity paying \$1,000 annually at 3% interest for 10 years?

8. Alpha Clinic is considering spending \$7.5 million on the latest technology in medical imaging in anticipation of the following cash flow:

YearCash Flow

0 (\$7,500,000)

1 \$1,200,000

2 \$1,400,000

3 \$2,000,000

4 \$4,000,000

The opportunity cost is 7%.  What is the net present value of the return on investment after paying back the initial investment of \$7,500,000?

9. The Alpha Clinic investment of \$7,500,000 (Problem 8) is justified from a financial perspective. (5 points extra credit)

a.  True b.  False

10. Acme borrows \$4 million at 3% interest on a declining balance to purchase an MRI.   Depreciation is straight-line over five years.  The MRI has a trade-in value of \$100,000 at the end of the useful life.  Maintenance expense is \$15,000 per year.  Should you buy the equipment or lease it at \$75,000 per month for 60 months with maintenance included?  Be prepared to identify the net present value of each alternative in support of your decision.

11. Acme borrows \$500,000 to purchase a lab analyzer on a 3 year, annual payment term loan at a 3% rate.  The first payment is due one year from now.  What is the annual payment?

### Management

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## More Management: Questions & Answers

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### Corporate Governance Structures

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