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DerKrebs [107]
3 years ago
7

After deciding to acquire a new car, you can either lease the car or purchase it with a two-year loan. The car you want costs $3

3,000. The dealer has a leasing arrangement where you pay $95 today and $495 per month for the next two years. If you purchase the car, you will pay it off in monthly payments over the next two years at an APR of 5 percent. You believe that you will be able to sell the car for $21,000 in two years. What break-even resale price in two years would make you indifferent between buying and leasing?
Business
1 answer:
KIM [24]3 years ago
4 0

Answer:

$33467.03

Explanation:

Given: we are given that $33000 is the cost of the car that’s on sale if the person wants a cash option.

             

Leasing option of $495 per month for the next two years with an immediate payment of $95 as a balloon payment for the vehicle.

The person will sell the vehicle for $21000 after 2 years from now.

We need to calculate the breakeven price to sell the vehicle after two years if the person sold the car on either option.

Therefore we will use the future value annuity formula to calculate how much would yield on the lease payments of $495 after two years first.

Fv = P [((1+r) ^n)-1)/r]

Where Fv is the future value that will yield from the payments.

P is the periodic payment which is $495 per month.

r is the interest per period so in this case it is 5%/12 as the 5% is on an annual basis and the individual will make monthly payments.

n is the number of payments made and in this case it is 24 payments because $495 is paid monthly for 2 years.

Now we insert the values on the formula above

 Fv = $495 [((1+ (5%/12) ^24)-1)/ (5%/12)]   then compute on a calculator and get the answer

Fv = $12467.03 + $95 we add $95 to the solution because the customer must pay it as a deposit if they choose the lease option.

The value the customer must sell the car for to break even for both options in two years’ time is the sum of $21000 which the customer sells the car for in two years’ time plus the above future value for the lease repayments, so $21000+ $12467.03 =$33467.03 .  

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3 0
3 years ago
The controller of Bridgeport Housewares Inc. instructs you to prepare a monthly cash budget for the next three months. You are p
Rina8888 [55]

Answer:

Bridgeport Housewares Inc.

1. Monthly Cash Budget with supporting schedules for September, October, and November:

a. Cash Budget for September, October, and November:

                                                        September      October     November

Beginning balance                           $40,000      $111,0000      $137,500

Cash receipts                                   253,000       259,500        288,000

Total cash available                       $293,000     $370,500     $425,500

Cash Payments:

Payment for manufacturing costs   140,000       130,000        135,000              

Income tax                                                              55,000

Dividend                                                                                      25,000

Selling & administrative expenses   42,000        48,000          51,000

Capital expenditures                                _                    _       200,000

Total cash payment                      $182,000    $233,000      $411,000

Balance                                           $111,000     $137,500       $14,500

Minimum Cash Balance                  50,000        50,000         50,000

Cash to invest or borrow              $61,000      $87,500      -$35,500

b. Supporting Schedules:

i) Cash Collections:

                                                        September      October     November

10% Cash Sales, month of sales       $25,000     $30,000       $31,500

Sales on account: 90%

70% following month of sales                               157,500        189,000

30% 2nd month following sale                                                    67,500

30% of July Sales                                60,000

70% of August                                    168,000

30% of August                                                        72,000

Total cash receipts                         $253,000  $259,500     $288,000

2. The budget indicates that the minimum cash balance (will or will not) be maintained in November.  This situation can be corrected by (investing or borrowing) and/or by the (purchase or sale) of the marketable securities, if they are held for such purposes.  At the end of September and October, the cash balance will (exceed or be sort of) the minimum desired balance.

Explanation:

a) Data and Calculations:

1. Budget Information:

                                                        September      October     November

Sales                                                 $250,000    $300,000      $315,000

Manufacturing costs                           150,000       180,000        185,000

Selling and administrative expenses  42,000         48,000          51,000

Capital expenditures                                _                    _           200,000

2. Cash Collections:

                                                        September      October     November

10% Cash Sales, month of sales       $25,000     $30,000       $31,500

Sales on account: 90%

70% following month of sales                               157,500        189,000

30% 2nd month following sale                                                    67,500

30% of July Sales                                60,000

70% of August                                    168,000

30% of August                                                        72,000

Total cash receipts                         $253,000  $259,500     $288,000

3. Manufacturing Costs:

Manufacturing costs                           150,000       180,000        185,000

less Depreciation, insurance, &

property tax expenses                       50,000        50,000          50,000

Remainder                                          100,000       130,000        135,000

4. Remainder of Manufacturing costs:

80% paid in the month incurred        80,000       104,000        108,000

Remainder 20%, month following     20,000        26,000         27,000

August manufacturing cost:              40,000

Payment for manufacturing costs $140,000     $130,000     $135,000

5. Cash Payments:

Payment for manufacturing costs   140,000       130,000        135,000              

Income tax                                                              55,000

Dividend                                                                                      25,000

Selling & administrative expenses   42,000        48,000          51,000

Capital expenditures                                _                    _       200,000

Total cash payment                      $182,000    $233,000      $411,000

Other relevant information:

Current assets as of September 1:

Cash of $40,000

Marketable securities of $75,000

Accounts receivable of $300,000 ($60,000 from July sales and $240,000 from August sales). Sales on account for July and August were $200,000 and $240,000, respectively

Current Liabilities:

September 1 Accounts payable = $40,000 incurred in August for manufacturing costs.

Selling and administrative expenses are paid in cash in the period they are incurred.

Income tax = $55,000 October

Quarterly Dividend of $25,000 in November

Minimum cash balance of $50,000 monthly

b) When Bridgeport Housewares Inc prepares budgeted monthly cash budgets, important highlights are indicated.  For instance, it becomes easier for the management of Bridgeport to know when to borrow cash to meet the minimum cash balance or in the alternative sell off some marketable securities.  It is also easier for Bridgeport to understand that it can be having excess cash which should not be allowed to sit idle, but can be invested in marketable securities.  The cash budgets and their preparation also help Bridgeport to be better prepared to exert the required efforts to generate sales revenue in order not to jeopardize its liquidity position.  It can also help Bridgeport to understand that the capital expenditure could have been paid for instalmentally starting from September or so instead of lumping the sum in November.  There are many other insights garnered from the cash budgets and their preparation.

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Explanation:

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