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FIN 5203  FINANCIAL MANAGEMENT

MIDTERM PRACTICE TEST 1

1.   You are analyzing a project based on its timeline and the expected cash flows. The project, which is expected to last 10 years, will produce an NPV of $275,000 with the discount rate of 12.20% pa. The expected cash flows in the first five years are $120,000 per year, and they are $150,000 in the second five years (i.e., Years 6 to 10). Based on this information, what is the initial investment of this project?

a.   $512,170

b.   $458,030

c.   $470,050

d.   $492,880

e.   $439,670

2.   Imagine a project for which you need make an initial investment of $250,000 today. The project’s first year cash inflow is $40,000 and the annual cash flows will grow 2% per year. If the project has the life of eight years, at what discount rate will you be indifferent between accepting and rejecting the project?

a.   5.84%

b.   6.22%

c.   6.70%

d.   7.09%

e.   7.45%

3.   You want to buy your dream car for $100,000 today. You have only $35,000 to pay for  the car, so you are looking for a loan to finance the rest of the car purchase. Bank Y has the following loan offer for you: a four-year loan with monthly payments of $1,620 (at  the end of each month). Based on this information, what is the APR of the loan Bank Y  offers you?

a.   8.47%

b.   8.75%

c.   9.08%

d.   9.33%

e.   9.57%

4.   Imagine a loan that has quarterly payments for the next three years. If the loan amount is $230,000 and the APR is 6.80%, what will be the quarterly payments?

a.   $7,105

b.   $21,350

c.   $7,280

d.   $21,875

5.   You are a senior analyst of a mutual fund, and you are assigned to write a report on a stock. The stock is expected to pay a dividend of $3.00 per share next year, and you     believe that the dividends will grow at the rate of 5% per year. If the annual required rate of return is 9.83%, how much do you expect to sell this stock at the end of year 3?

a.   $68.48

b.   $73.55

c.   $71.90

d.   $65.77

e.   $75.12

6.   You are interested in buying a real estate in St. Louis. The property costs $700,000 today. If you buy this property, you will rent it immediately and earn $3,800 per month (paid at the beginning of each month) for the next six years. If your goal is to generate  an annual return of 15%, how much should you be selling this property at the end of year 6?

a.   $1,267,090

b.   $1,185,900

c.   $1,219,580

d.   $1,307,250

7.   Imagine an asset your firm is interested in using. You have two options to acquire/use that asset: You can buy it for $200,000 today or you can lease it for $3,980 per month (paid at the end of each month) for five years. If your firm’s discount rate is 9% per year, which option do you choose and how much do you save in today’s dollar terms?

a.   Buying and you save $5,360

b.   Leasing and you save $5,360

c.    Buying and you save $8,270

d.   Leasing and you save $8,270

8.   You bought a 30-year semi annual coupon bond for $944 today. The face value of the bond is $1,000, and its coupon rate is 8% pa. Under these circumstances, what is the yield to maturity (YTM) of this bond?

a.   7.44%

b.   7.76%

c.   8.00%

d.   8.28%

e.   8.52%

9.   Imagine a loan of $250,000. The loan has no repayment in the first three months. The payments start in month 4 (end of month payments) and the last payment will be made at month 48. The APR of this loan is 5.40%. Under these circumstances, what will be the monthly payments?

a.   $5,802.73

b.   $6,149.48

c.   $6,232.87

d.   $6,043.55

e.   $5,970.10

10. Imagine a project that will cost you $200,000 today. The project will not offer any cash  inflows for the first three years. In year 4, the cash inflow will be $36,000, and it will grow 6% per year until the end of year 10. After year 10, there will be no growth of cash flows. If the project has an expected life of 20 years and the proper discount rate is 10% per year, what is the NPV of this project?

a.   $62,258

b.   $75,417

c.   $88,166

d.   $94,070

e.   $105,334