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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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A company expects to pay a dividend of $3.50 per share one year from today. the dividend is expected to grow at 30 percent per y
monitta

Answer: $70

Explanation:

Price = Present value of year 1 dividend + Present value of year 2 dividend + Present value of year 3 dividend + Present value of year 4 dividend + Present value of year 4 price

Year 4 price = Year 4 dividend / ( Required return - Growth rate after 3 years)

= (3.50 * 1.30³ * 1.04) / (13% - 4%)

= $88.856

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7 0
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Malco Enterprises issued $10,000 of common stock when the company was started. In addition, Malco borrowed $36,000 from a local
NemiM [27]

Answer:

Malco Enterprises

a. The amount of interest expense on Year 1 income statement:

= $1,080

b. The amount of net cash flow from operating activities on the Year 1 statement of cash flows:

= $22,300

c. Total liabilities on the December 31, Year 1 Balance Sheet

= $37,080

d. The amount of retained earnings on the December 31, Year 1 balance sheet is:

= $ 32,420

e. The amount of net cash flow from financing activities on the Year 1 Statement of Cash Flows is:

= $10,000

f. The amount of interest expense on the Year 2 Income Statement is:

= $1,080.

g. The amount of net cash flow from operating activities on the Year 2 Statement of Cash Flows is:

= $24,340

h. The amount of total assets on the December 31, Year Balance Sheet is:

= $79,500.

i. The amount of net cash flow from investing activities on the Year 2 Statement of Cash Flows is:

= $0

j. Retained Earnings on the December 31, Year 2 Balance Sheet:

= $69,540

Explanation:

a) Data and Analysis:

1. Year 1: Cash $10,000 Common stock $10,000

2. July 1, Year 1: Cash $36,000 6% Notes Payable $36,000

3. Year 1: Accounts Receivable $72,500 Revenue $72,500

5. Year 1: Cash $61,300 Accounts Receivable $61,300

7. Year 1: Operating expenses $39,000 Cash $39,000

8. Year 1: Interest expense $1,080 Interest payable $1,080

4. Year 2: Accounts Receivable $85,200 Revenue $85,200

6. Year 2 Cash $71,500 Accounts Receivable $71,500

8. Year 2: Operating expense $45,000 Cash $45,000

9. Year 2, July 1: Notes Payable $36,000 Cash $36,000

10. Year 2, July 1: Interest Expense $1,080 Interest payable $1,080 Cash $2,160

a. The amount of interest expense on Year 1 income statement:

6% of $36,000 * 6/12 = $1,080

b. The amount of net cash flow from operating activities on the Year 1 statement of cash flows:

= $22,300 ($61,300 - $39,000)

c. Total liabilities on the December 31, Year 1 Balance Sheet = $37,080 ($36,000 + $1,080)

d. The amount of retained earnings on the December 31, Year 1 balance sheet is:

= $ 32,420

Revenue $72,500

Operating expenses $39,000

Interest expense $1,080

Net income = $32,420

e. The amount of net cash flow from financing activities on the Year 1 Statement of Cash Flows is:

= $10,000 (Common stock)

f. The amount of interest expense on the Year 2 Income Statement is:

= $1,080.

g. The amount of net cash flow from operating activities on the Year 2 Statement of Cash Flows is:

= $24,340

Accounts Receivable $71,500

Operating expense  $45,000

Interest on notes         $2,160

Net cash flow            $24,340

h. The amount of total assets on the December 31, Year Balance Sheet is:

= $79,500

Cash balance $68,300

Accounts receivable $11,200

Total assets = $79,500

i. The amount of net cash flow from investing activities on the Year 2 Statement of Cash Flows is:

= $0

j. Retained Earnings on the December 31, Year 2 Balance Sheet:

= $69,540

Retained earnings, beginning balance $32,420

Net income                                                39,120

Dividends                                                  (2,000)

Retained earnings, ending balance    $69,540

Revenue $85,200

Operating expenses $45,000

Interest expense $1,080

Net income  $39,120

7 0
3 years ago
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