Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Debby\'s Dance Studios... Debby\'s Dance Studios is considering the purchase of

ID: 2741562 • Letter: D

Question

Debby's Dance Studios...

Debby's Dance Studios is considering the purchase of new sound equipment that will enhance the popularity of its aerobics dancing. The equipment will cost $24, 300. Debby is not sure how many members the new equipment will attract, but she estimates that her increased annual cash flows for each of the next five years will have the following probability distribution. Debby's cost of capital is 10 percent. Use Appendix D for an approximate answer but calculate your final answers using the formula and financial calculator methods. a. What is the expected value of the cash flow? The value you compute will apply to each of the five years. b. What is the expected net present value? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places.)

Explanation / Answer

(a)

to find the expected cash flow we will each cash flow with it's respective probability

Cash Flow

probability

3980

0.4

1592

5280

0.2

1056

8140

0.2

1628

10600

0.2

2120

Total

6396

so the Expected cash flow is 6396

(b)

to find net present value we will first take each year cash flow's present value

year

cash flow

PV

1

6396

5814.545

2

6396

5285.95

3

6396

4805.409

4

6396

4368.554

5

6396

3971.413

now we will deduct each of the present values from the initial investment which is cost of equipment

= 24300 - 5814.55 - 5285.95 - 4805.41 - 4368.55 - 3971.413

= NPV(net present value) = 54.13

Cash Flow

probability

3980

0.4

1592

5280

0.2

1056

8140

0.2

1628

10600

0.2

2120

Total

6396

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote