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lina2011 [118]
1 year ago
13

what is the present value of a deferred perpetuity that pays $141 annually with the first payment occurring at year 5? assume th

e annually compounded interest rate is 6%.
Business
1 answer:
yKpoI14uk [10]1 year ago
3 0

The present value of a deferred perpetuity is $1,938.89.

What is present value?
The present value of a prospective sum of money or cash flow stream given a specified return rate is known as its present value (PV). The present value of future cash flows is reduced by the discount rate, and the higher coupon rate, the lower the present value of future cash flows. The key to correctly valuing future cash flows, whether they are earnings or debt obligations, is determining the appropriate discount rate. The concept of present value states that a quantity of funds today is worth greater than the same amount in the long term. In other words, money gained in the long term is not as valuable as money received today.

The present value of a deferred perpetuity that pays $141 annually with the first payment occurring at year 5 is $1,938.89. This can be calculated by taking the present value of an ordinary annuity formula, which is PV = A / (1 + r)^n, and adding 5 to n. This gives the equation PV = A / (1 + r)^(n + 5), which can be simplified to PV = A / (1 + r)^n * (1 + r)^5. Thus, the present value is $141 / (1 + 0.06)^10 * (1 + 0.06)^5, which equals $1,938.89.

To learn more about present value
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Answer:

The Fantastic Ice Cream Shoppe

a) Fantastic Ice Cream Shoppe

June Income Statement, using traditional format

Sales Revenue         $44,000

Cost of goods sold       5,720

Gross profit              $38,280

Expenses:

Rent expense             2,050

Depreciation exp.          220

Other operating exp. 2,800

Total expenses        $5,070

Net Income             $33,210

b) Fantastic Ice Cream Shoppe

June Income Statement, using contribution margin format

Sales Revenue                   $44,000

Direct materials      5,720

Operating expense  700

Total variable expense         6,420

Contribution margin         $37,580

Fixed expenses:

Rent expense             2,050

Depreciation exp.          220

Other operating exp.  2,100

Total expenses                  $4,370

Net income                      $33,210

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a) Data and Calculations:

Sales of ice cream during June = 8,800 servings

Price per serving = $5

Sales revenue = $44,000 ($5 * 8,800)

Purchase cost of ice cream in large tubs = $14 * 8,800/28 = $4,400

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Total cost of direct materials = $5,720

Fixed costs:

Rent = $2,050 per month

Depreciation = $220

Other operating expenses:

Fixed operating expense = $2,100 ($2,800 * 75%)

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