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BabaBlast [244]
3 years ago
15

Suppose Community Bank offers to lend you $20,000 for one year at a nominal annual rate (annual percentage rate) of 6.00%, but y

ou must make interest payments at the end of each month and then pay off the $20,000 principal amount at the end of the year. What is the effective annual rate (EAR) on this loan?
a. 6.00%
b. 6.09%
c. 6.14%
d. 6.17%
e. 6.19%
Business
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

The correct answer is option (D).

Explanation:

According to the scenario, the given data are as follows:

Payment = $20,000

Annual rate (r) = 6%

Time period (n) = 12 months

So, we can calculate the effective annual rate by using following formula:

EAR = ((( 1 + ( r / n ))^n ) - 1)

By putting the value, we get

EAR = ((( 1 + (0.06 / 12))^12 ) - 1)

= (((1.005)^12) - 1)

= (1.06167781186 - 1)

= 0.0617

= 6.17%

Hence, the effective annual rate (EAR) on this loan is 6.17%.

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2 years ago
Nadia Company, a merchandising company, prepares its master budget on a quarterly basis. The following data has been assembled t
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1. Schedule of expected cash receipts from customers :

                               April          May          June

Cash  20%          $52,500     $55,125    $57,880

Credit 80%            48,000     210,000   220,500

Total receipts   $100,500   $265,125  $278,380

2. Schedule of expected cash payments for purchases :

Payment for purchases:           April            May            June

50% (month of purchase)     $81,900     $85,995    $90,293

50% (following month)            18,300         81,900      85,995

Total cash payment           $100,300     $167,895   $176,288

3. Statement of Cash budget for the second quarter ended June 30:

                                                       April          May            June       Total

Beginning cash balance            $9,000   ($58,363) ($23,649)      $9,000

Cash receipts from customer  100,500    265,125    278,380     644,005

Total cash available               $109,500  $206,762  $254,731   $653,005

Cash payments:

Purchases                              $100,300     $167,895   $176,288  $444,483

Selling & Administrative            76,063         79,516       82,615     238,194

Equipment purchase                  11,500          3,000                          14,500

Dividends                                                                           3,500        3,500

Total cash payments:            $187,863     $250,411  $262,403  $700,677

Cash shortfall                        ($78,363)    ($43,649)     ($7,672)

Bank overdraft                         20,000        20,000      16,000      56,000

Cash balance                       ($58,363)    ($23,649)     $8,328       $8,328

Explanation:

a) Data:

Nadia Balance Sheet as of March 31:

Cash                                $9,000

Acct Receivable              48,000

Inventory                       12,6000

Buildings & Equip. (net) 214,100

Total                            $283,700

Acct. Payable                 $18,300

Common Stock             190,000

Retained Earnings          75,400

Total                            $283,700

b) Sales:

Month     Quantity                       Unit Price        Total

March 10,000 units                       $25.00          $250,000

April = 10,500 (10,000 x 1.05)          "                  $262,500

May = 11,025 (10,500 x 1.05)            "                 $275,625

June = 11,576 (11,025 x 1.05)            "                 $289,400

July = 12,155 (11,576 x 1.05)             "                  $303,875

c) Sales Terms:

                       March          April          May          June

Cash  20%                      $52,500     $55,125    $57,880

Credit 80%                        48,000     210,000    220,500

d) Inventory:

                         March          April          May          June

                        8,400       8,820         9,261         9,724

Ending         $126,000  $132,300   $138,915    $145,860

Beginning                     $126,000   $132,000   $138,915

e) Selling & Administrative Expenses  

                                          April          May            June      Total

Salaries and wages       $7,500      $7,500      $7,500    $22,500

Shipping                           15,750       16,538       17,364       49,652

Advertising                       6,000        6,000        6,000        18,000

Others                            10,500        11,025         11,576         33,101

Depreciation                                                                            6,000

Sales commissions        32,813       34,453        36,175       104,441

Sales Manager's Salary  3,500         4,000         4,000         11,500

Total                            $76,063      $79,516     $82,615

f) Purchases of Inventory

                                                   April            May            June      Total

Ending Inventory                        8,820          9,261         9,724

Units of Inventory sold             10,500         11,025        11,576

Inventory available for sale      19,320       20,286       21,300

less beginning inventory           8,400         8,820         9,261

Purchases                                 10,920        11,466        12,039

Cost of purchases x $15     $163,800     $171,990   $180,585

Payment for purchases:           April            May            June

50% (month of purchase)     $81,900     $85,995    $90,293

50% (following month)            18,300         81,900      85,995

Total cash payment           $100,300     $167,895   $176,288

g)                                        April            May            June

Equipment purchase      $11,500        $3,000

h) Nadia Company's preparation of quarter budgets helps it to foresee cash shortages and make necessary arrangements to meet up with cash obligations.  It focuses management efforts to achieve sales and deliver on other perimeters, including the control of expenses.  It is important for the master budget to be prepared with inputs from other subsidiary budgets so that management plans ahead.

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