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belka [17]
3 years ago
14

You are scheduled to receive annual payments of $60,000 for each of the next 20 years. The annual rate of return is 8 percent. W

hat is the difference in the future value in year 20 if you receive these payments at the beginning of each year rather than at the end of each year
Business
1 answer:
babymother [125]3 years ago
3 0

Answer:

= $ 219,657.43

Explanation:

FV of annuity = P x [(1+r) n -1/r]

P = Periodic payment = $ 20,000

r = Periodic interest rate = 0.08

n = Number of periods = 20

FV = $ 60,000 x [(1+ 0.08)20 -1/0.08]

  = $ 60,000 x [(1.08)20 -1/0.08]

  = $ 60,000 x [(4.66095714384931 -1)/0.08]

  = $ 60,000 x (3.66095714384931/0.08)

= $ 60,000 x 45.7619642981163

= $ 2,745,717.85788698 or $ 2,745,717.86

FV of annuity due =(1+r) x P x [(1+r) n -1/r]

                              = (1+0.08) x $ 2,745,717.85788698

                              = 1.08 x $ 2,745,717.85788698

                             = $ 2,965,375.28651794 or $ 2,965,375.29

Difference in FV of ordinary annuity and annuity due

                             = $ 2,965,375.29 - $ 2,745,717.86

                             = $ 219,657.43

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Answer:

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a. & c. Identify the events that result in revenue or expense recognition and those which affect the statement of cash flows. In the Statement of Cash Flows column, use OA to designate operating activity, FA for financing activity, IA for investing activity and NA to indicate the element is not affected by the event.

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Therefore, the amount of cash flow from operating activities reported on the 2018 statement of cash flows is $25,000.

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Before closing balance in service revenue account = Services performed on account + Services performed for cash = $81,000 + $19,000 = $100,000

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The "after closing balance" is equal to zero because, at the end of a particular period, the balance of the service revenue account turns to $0 when the firm has to close the balance of the service revenue account in the retained earnings.

f. What is the balance of the retained earnings account that appears on the 2018 balance sheet?

Retained earnings = Net income - Cash dividend paid to the stockholders = $38,100 - $5,900 = $32,200

Therefore, the balance of the retained earnings account that appears on the 2018 balance sheet is $32,200.

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