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Tom Adams has received a job offer from a large investment bank as a clerk to an

ID: 2731413 • Letter: T

Question

Tom Adams has received a job offer from a large investment bank as a clerk to an associate banker. His base salary will be $47,000. He will receive his first annual salary payment one year from the day he begins to work. In addition, he will get an immediate $11,000 bonus for joining the company. His salary will grow at 3.10 percent each year. Each year he will receive a bonus equal to 14 percent of his salary. Mr. Adams is expected to work for 25 years. What is the present value of the offer if the discount rate is 9 percent?

Please show calculations.

Explanation / Answer

Answer

Figure in $

Years

Salary

Bonus

Joining bonus

Cashflow

Disc Rate : 9%

Present value

A

B

C

D

E

A*0.14

A+B+C

D*E

0

0.00

0.00

11000

11000.00

1

11000

1

47000.00

6580.00

0

53580

0.92

49155.96

2

48457.00

6783.98

0

55240.98

0.84

46495.23

3

49959.17

6994.28

0

56953.45

0.77

43978.51

4

51507.90

7211.11

0

58719.01

0.71

41598.03

5

53104.65

7434.65

0

60539.3

0.65

39346.39

6

54750.89

7665.12

0

62416.01

0.60

37216.63

7

56448.17

7902.74

0

64350.91

0.55

35202.15

8

58198.06

8147.73

0

66345.79

0.50

33296.71

9

60002.20

8400.31

0

68402.51

0.46

31494.42

10

61862.27

8660.72

0

70522.99

0.42

29789.67

11

63780.00

8929.20

0

72709.2

0.39

28177.2

12

65757.18

9206.01

0

74963.18

0.36

26652.02

13

67795.65

9491.39

0

77287.04

0.33

25209.38

14

69897.32

9785.62

0

79682.94

0.30

23844.84

15

72064.13

10088.98

0

82153.11

0.27

22554.15

16

74298.12

10401.74

0

84699.86

0.25

21333.33

17

76601.36

10724.19

0

87325.55

0.23

20178.59

18

78976.01

11056.64

0

90032.65

0.21

19086.36

19

81424.26

11399.40

0

92823.66

0.19

18053.24

20

83948.41

11752.78

0

95701.19

0.18

17076.05

21

86550.82

12117.11

0

98667.93

0.16

16151.75

22

89233.89

12492.74

0

101726.6

0.15

15277.48

23

92000.14

12880.02

0

104880.2

0.14

14450.53

24

94852.15

13279.30

0

108131.4

0.13

13668.35

25

97792.56

13690.96

0

111483.52

0.12

12928.5

Net present value

693215.5

Answer : The present value of the offer is $ 693215.5

Figure in $

Years

Salary

Bonus

Joining bonus

Cashflow

Disc Rate : 9%

Present value

A

B

C

D

E

A*0.14

A+B+C

D*E

0

0.00

0.00

11000

11000.00

1

11000

1

47000.00

6580.00

0

53580

0.92

49155.96

2

48457.00

6783.98

0

55240.98

0.84

46495.23

3

49959.17

6994.28

0

56953.45

0.77

43978.51

4

51507.90

7211.11

0

58719.01

0.71

41598.03

5

53104.65

7434.65

0

60539.3

0.65

39346.39

6

54750.89

7665.12

0

62416.01

0.60

37216.63

7

56448.17

7902.74

0

64350.91

0.55

35202.15

8

58198.06

8147.73

0

66345.79

0.50

33296.71

9

60002.20

8400.31

0

68402.51

0.46

31494.42

10

61862.27

8660.72

0

70522.99

0.42

29789.67

11

63780.00

8929.20

0

72709.2

0.39

28177.2

12

65757.18

9206.01

0

74963.18

0.36

26652.02

13

67795.65

9491.39

0

77287.04

0.33

25209.38

14

69897.32

9785.62

0

79682.94

0.30

23844.84

15

72064.13

10088.98

0

82153.11

0.27

22554.15

16

74298.12

10401.74

0

84699.86

0.25

21333.33

17

76601.36

10724.19

0

87325.55

0.23

20178.59

18

78976.01

11056.64

0

90032.65

0.21

19086.36

19

81424.26

11399.40

0

92823.66

0.19

18053.24

20

83948.41

11752.78

0

95701.19

0.18

17076.05

21

86550.82

12117.11

0

98667.93

0.16

16151.75

22

89233.89

12492.74

0

101726.6

0.15

15277.48

23

92000.14

12880.02

0

104880.2

0.14

14450.53

24

94852.15

13279.30

0

108131.4

0.13

13668.35

25

97792.56

13690.96

0

111483.52

0.12

12928.5

Net present value

693215.5

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