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If the interest rate is 5% per year, what decision would you make based on the d

ID: 1203993 • Letter: I

Question

If the interest rate is 5% per year, what decision would you make based on the decision tree diagram in the Figure (show work)

E(PWnew) = $61,038, select new

E(PWnew) = -$161,038, do nothing

E(PWnew) = $161,038, select new

E(PWnew) = -$61,038, do nothing

E(PWnew) = $61,038, select new

E(PWnew) = -$161,038, do nothing

E(PWnew) = $161,038, select new

E(PWnew) = -$61,038, do nothing

$200.000 profit per year for six years, starting at EOY 3 (0.6) 280.000 profit per year for six years, starting at EOY 3 Year 0 S0 profit/lyr. for 8 years SO profit/yr. for 8 years

Explanation / Answer

NEW PRODUCT A.

PROFIT

YEAR 1

YR2

YR3

YR4

YR5

YR6

Pdt A

200000

200000

200000

200000

DISCOUNTED@5%

.952

.9070

.863

.822

.783

.746

172600

164400

156600

149200

INVESTMENT AT EOY2 (-)

100000

100000

100000

100000

100000

discounted

90700

86000

82200

78300

74600

Net profits

-4100

13333

78300

75600

Pdt B ( PROFITS)

280000

280000

280000

280000

DISCOUNTED AT5%

.952

.9070

.863

.822

.783

.746

241640

230160

219240

208880

Invest eoy2(-)

100000

100000

100000

100000

100000

90700

86000

82200

783000

74600

Net profits

65640

60

Discison :

It is obvious that Project B is more profitable at 5% interest rate as the net cash flow is greater.

PROFIT

YEAR 1

YR2

YR3

YR4

YR5

YR6

Pdt A

200000

200000

200000

200000

DISCOUNTED@5%

.952

.9070

.863

.822

.783

.746

172600

164400

156600

149200

INVESTMENT AT EOY2 (-)

100000

100000

100000

100000

100000

discounted

90700

86000

82200

78300

74600

Net profits

-4100

13333

78300

75600

Pdt B ( PROFITS)

280000

280000

280000

280000

DISCOUNTED AT5%

.952

.9070

.863

.822

.783

.746

241640

230160

219240

208880

Invest eoy2(-)

100000

100000

100000

100000

100000

90700

86000

82200

783000

74600

Net profits

65640

60