Please give best answers to all questions on the exam with use of Excel, Excel sheets need to be attached when you submit the exam. The exam is open material, but you may not consult in any way with others.

  1. Please write the formula you use in excel and also attach the excel answers.

  1. With interest rate 8%, calculate the PV of following cash flows.

Year

Payment

PV

1

1,000

2

1,000

3

1,000

4

1,000

5

1,000

  1. You borrow $10,000 today with interest rate 7%, and you plan to pay the bank back with 8 equal annual payment. Please fill up the following table.

Year

Principal
beg. year

Payment
end year

Interest

Principal

1

2

3

4

5

6

7

8

  1. a)Please calculate NPV and IRR for both projects, and fill the blank which project you decide to say yes.

Discount rate

12%

Year

Project A

Project B

0

1000

800

1

500

420

2

500

420

3

500

420

4

500

420

5

500

420

6

200

300

7

350

300

8

360

300

9

200

450

10

200

260

11

200

260

NPV

IRR

Which project will you make a decision? Project A or Project B?

b)Please calculate the following cash flow and show us your decision about which project should be chosen and why.

Date

Cash flow A

Cash Flow B

1 Jan 02

10,000

13000

1 Jul 02

3,000

3500

1 Jul 03

3,000

4000

1 Jul 04

3,000

3500

1 Jul 05

3,000

4000

1 Jul 06

3,000

4000

  1. Statistics and Regression Analysis

  1. Please calculate average, variance and standard deviation for annual return column.

Date

Price

Dividend

Annual
return

31 Dec 98

34.13

0.92

31 Dec 99

30.81

0.96

8.89%

29 Dec 00

26.25

0.99

12.59%

31 Dec 01

30.10

1.01

18.51%

31 Dec 02

34.27

1.01

17.21%

31 Dec 03

38.08

1.01

13.06%

31 Dec 04

44.66

1.01

19.93%

30 Dec 05

43.22

1.06

0.85%

29 Dec 06

50.06

1.14

18.46%

31 Dec 07

52.43

1.20

7.14%

31 Dec 08

42.73

1.30

16.02%

Average return, E(rK)

Variance of return,s2K

Standard deviation of return,sK

  1. Please show your regress analysis table and fill form for slope, intercept and R square.

Return for the month

Date

S&P 500

IBM

3 Jan 07

1 Feb 07

2.18%

6.98%

1 Mar 07

1.00%

2.42%

2 Apr 07

4.33%

8.44%

1 May 07

3.25%

4.70%

1 Jun 07

1.78%

1.27%

2 Jul 07

3.20%

5.14%

1 Aug 07

1.29%

5.83%

4 Sep 07

3.58%

1.95%

1 Oct 07

1.48%

1.42%

1 Nov 07

4.40%

9.10%

3 Dec 07

0.86%

2.78%

2 Jan 08

6.12%

0.92%

1 Feb 08

3.48%

6.71%

3 Mar 08

0.60%

1.12%

1 Apr 08

4.75%

4.83%

1 May 08

1.07%

7.66%

2 Jun 08

8.60%

8.42%

1 Jul 08

0.99%

7.97%

1 Aug 08

1.22%

4.51%

2 Sep 08

9.21%

3.92%

1 Oct 08

16.83%

20.51%

3 Nov 08

7.48%

11.74%

1 Dec 08

0.78%

3.13%

2 Jan 09

8.57%

8.90%

Slope

Intercept

R squared

  1. Bond

  1. Please calculate YTM.

Date

Bond cash flow

15 Dec 09

1,000.00

15 Dec 10

80.00

15 Dec 11

80.00

15 Dec 12

80.00

15 Dec 13

80.00

15 Dec 14

80.00

15 Dec 15

80.00

15 Dec 16

1,080.00

YTM of bond

  1. Compute the price for following bond with YTM of 5%.

Date

Payment

1

80

2

80

3

1,080

Bond price

  1. Stocks Valuation

ABC company’s current FCF is $2,000,000, it will grown at 20% for the first 4 years and back to a steady growth rate 7% after 4 years. The WACC is 10%, outstanding shares is 4,000,000. Please use FCF model to estimate the value of their stock. Show you steps and calculations in Excel. Assume all FCFs happen at the end period.

Current FCF

2,000,000

Anticipated growth rate, years 1 4

20%

WACC

10%

Long term growth rate, after year 4

7%

Number of shares outstanding

4,000,000

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