Calculate npv and irr for both projects

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Reference no: EM13494934

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.

a)      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

 

 

b)      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

 

 

 

 

 

2.       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

3.       Statistics and Regression Analysis

a)      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

 

 

 

b)      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

 

 

 

 

 

 

4.       Bond

a)      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

 

 

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

Date

Payment

1

80

2

80

3

1,080

Bond price

 

 

5.       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

 

Reference no: EM13494934

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