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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.

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Schell Company manufactures automobile floor mats. It currently has two product lines, the Standard and the Deluxe. Schell has a
kenny6666 [7]

Answer:

Instructions are below.

Explanation:

Giving the following information:

Schell has a total of $39,060 in overhead.

Direct labor hours:

Standard= 400

Deluxe= 200

Machine hours:

Standard= 4,150

Deluxe= 3,000

To calculate the estimated manufacturing overhead rate we need to use the following formula:

Estimated manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

1) Direct labor hours as allocation rate

Estimated manufacturing overhead rate= 39,060/600= $65.1 per direct labor hour

Now, we can allocate to each product line:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Standard= 65.1*400= $26,040

Deluxe= 65.1*200= $13,020

2) Machine hour as allocation rate:

Estimated manufacturing overhead rate= 39,060/7,150= $5.46 per machine hour

Now, we can allocate to each product line:

Standard= 5.46* 4,150= $22,659

Deluxe= 5.46*3,000= $16,380

7 0
3 years ago
If the actual labor rate exceeds the standard labor rate and the actual labor hours exceed the number of hours allowed, the labo
vladimir2022 [97]

Answer:

Option D

Explanation:

As both, the actual rate and actual hours exceed the standards rate and standard hours, both rate and efficiency variance will be unfavorable.

And considering that if the actual labor rate exceeds the standard labor rate and if the actual labor-hours exceed the number of hours allowed, the total labor flexible budget variance will be unfavorable. As the variance is the difference between the Standard Cost and Actual Cost. So if both Standard rate & Standard hrs. are more than actual rate & actual hrs., Actual cost will be more than standard cost i.e. the variance will be unfavorable

Option d is correct

8 0
3 years ago
Steven's Auto is trying to decide whether to lease or buy some new equipment costing $23,000 that has a life of three years, aft
jolli1 [7]

Answer:

$1,241

Explanation:

For computing the net advantage to leasing first we have to determine the total cash flow from leasing and total cash flow from buying which is shown below:

For leasing:

Year       Lease payment      PVF at 5.8%    Present value

1              $6,500                   0.9452             $6,144

2             $6,500                   0.8934             $5,807

3              $6,500                  0.8444              $5,489

Total outflow                                                   $17,440

For buy:

Year      Outflow or inflow     PVF at 5.8%    Present value

0            ($23,000)                    1                      ($23,000)

1              $1,610                       0.9452             $1,522

2             $1,610                        0.8934             $1,438

3              $1,610                       0.8444              $1,359

Total outflow                                                   $18,681

Now the net advantage to leasing is

= Buy outflow - leasing outflow

= $18,681 - $17,440

= $1,241

7 0
3 years ago
150-seat restaurant $8,000,000 is needed to construct the restaurant; no additional investment is needed in working capital.
goldenfox [79]

Answer:

The answer is $7400000

Explanation:

Solution

Recall that:

There is  no information is given about per unit cost or sales price hence, a reverse calculation is to be made to find out the projected total revenue.

Now,

The reverse calculation to find sales is computed as follows:

Begin from the expected profit + Tax expenses + Interest Expenses + undistributed expenses + variable cost

Thus,

From the calculation of each term is as stated below:

1. The profit expected = 15% return on their investment. it is to be after tax return, total investment = $8000000,

So,

The Profit expected  = $8000000 *15% = $1200000.

2. The tax xxpenses = 25% that is, it should be 25% on taxable profit which is  decreased from it and then net profit after tax is available,

Thus,

we have net profit after tax we can compute the  taxable profit as = $1200000 / 75% = $1600000.  for example, tax amount on taxable profit = $160000 * 25% = $400000.

3. The Interest Expenses = 5% of borrowed fund from bank,

Now,

The  borrowed fund from bank = $2000000 (8000000-6000000)

The expenses interest = $ 100000 ($2000000*5%)

4. Undistributed Expenses is stated as follows:

The Undistributed expenses are given in the question = $2000000.

5. Variable cost that is the labor cost and cost of food :

From the question it is given that it is 50% of the sales, which means the remaining 50% is the contribution.

Now

The contribution on reverse calculation is  computed as:

Profit +taxes + Interest + fixed expenses

Contribution = 1200000 + 400000 + 100000 + 2000000 = $ 3700000,

Thus,

We say,let the sales be 10 , then variable cost be 50 and contribution is 50, that means variable cost = contribution in this case.

so, in proportional calculation , the variable cost = $3700000 .

Thus

The projected sales = expected profit + Tax expenses + Interest Expenses + undistributed expenses + variable cost

The total revenue projected =$1200000+ $ 400000 + $100000 + $ 2000000 +$ 3700000

Therefore, the total revenue projected = $ 7400000

3 0
3 years ago
Waterways Corporation is a private corporation formed for the purpose of providing the products and the services needed to irrig
zmey [24]

Answer:

Explanation:

PREPARE COST OF GOODS MANUFACTURED :

Beginning work in process 42000

Raw material consumed

Beginning raw material 38000

Add : raw material purchase 184500

Less : Ending raw material (52700)

Raw material consumed 169800

DIrect labour 42000

Factory overhead

Factory supplies used 16800

Factory utilities 10200

Depreciation factory equipment 16800

Indirect labour 48000

Property taxes 5500

Reent factory equipment 47000

Repairs factory equipment 4500

Total manufacturing overhead 148800

Total manufacturing cost 360600

Less : Ending work in process (52700)

Cost of goods manufactured

INCOME STATEMENT :

Sales revenue 1350000

Cost of goods sold

Beginning finished goods inventory 72550

Cost of goods manufactured 349900

goods available for sale 422450

Less : endin finished goods inventory (68800)

Cost of goods olsld (353650)

Gross profit 996350

Less : advertising expenses (54000)

Less : selling commission (40500)

Less : dep on office equipment (2400)

Less : office suppplies used (1600)

Less : other administrative exp (72000)

Less : Salaries exp (325000) (495500)

Net income 500850

BALANCE SHEET CURRENT SECTION :

ASSETS

Current assets

Cash 260000

Account receivable 275000

Prepaid exp 41250

Inventory

Raw material 52700

Work in process 52700

Finished goods 68800 174200

Total current assets 750450

8 0
3 years ago
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