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swat32
3 years ago
13

a. She has negotiated a sales price of $46,585 and she has a $15,000 down payment. She is eligible for the full $10,000 cash reb

ate. Her bank has pre-approved her for a 72-month car loan at 3.24%. Assuming Elaine wants the cheapest overall price, which option should she take? Should she take the 0% financing offer for 66 months from the dealer, or should she borrow the money from her bank at 3.24% to pay off the dealer and receive the $10,000 cash rebate?
Business
1 answer:
nirvana33 [79]3 years ago
3 0

Answer: Elaine should take Dealership's financing option.

Explanation:

Option A

Car Sale Price = $46 585

Down Payment = $15000

Interest rate = 0%

Period = 66 months

Value of Dealer Financing = $46585 - $15000 = <u>$31585</u>

Option 2.

Elaine takes the loan to pay for the car

R = 3.24%

Car price = Loan Amount = $46585

Period (n) = 72 months

Value of Option 2 Loan Financing = Loan Amount (1 + r)^n

Value of Option 2 Loan Financing = $46585(1 + 0.0324^/12)^72

Value of Option 2 Loan Financing =  $46585(1 + 0.0027)^72

Value of Option 2 Loan Financing = 56566.482756

Value of Option 2 Loan Financing = $56566.48

Elaine receives a Cash rebate of $10 000

Overall Value of option 2 = $56566.48 - $10 000 = <u>$46566.48</u>

Let us assume Elaine Pays the Down Payment of $15000 AND take A Loan to finance the rest of the Car amount

Car sale price = $46585 - $15000 = $31585

Loan Amount = $31585

Option 2 Loan Financing with down Payment

Option 2 Loan Financing = $31585(1 + 0.0324^/12)^72 + $15000

Option 2 Loan Financing = $31585(1+0.0027)^72 + $15000

Option 2 Loan Financing = 38352.524586 + $15000

Option 2 Loan Financing = $53352.524586

Elaine Receives a Cash Rebate of $10 000

Value of Option 2 with down payment = $53352.524586 - 10 000

Value of Option 2 with down payment = $43352.524586

Value of Option 2 with down payment =<u> $43352.53</u>

When Elaine pays a down payment and takes a loan of $31585, the overall finance is valued at $43352.53, When Elaine takes a loan for the entire car amount the Value of option 2 finance is $46566.48.

Dealership Option Financing Value is $31585. Elaine should take Dealership's financing option

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                        SHEFFIELD LABORATORY

                            PATENT (NO. 78-6002-1A)

Carrying value as at Dec 31

                                      2011                     2015                   2018

Cost                            $182,300           $349,000           $385,000

Amortization             <u> (10,724)   </u>             <u>(79,433)  </u>           <u>(142,403)</u>

                                 <u> 171,576     </u>         <u>   269,567  </u>           <u>242,597</u>

Cost

As at 31 Dec 2011

Design and construction of a prototype                                     $89,000

Testing of models                                                                           40,600

Fees paid engineers and lawyers to prepare application          <u> 52,700</u>

                                                                                                       <u>$182,300</u>

As at 31 Dec 2012

Cost as at Jan 1, 2012                                                                $182,300

Additional cost during the year:

Engineering activity necessary to advance.                           <u> $84,500  </u>

                                                                                                    <u>$266,800</u>

As at 31 Dec 2013

Cost as at Jan 1, 2013                                                                $266,800

Additional cost during the year:

legal fee paid                                                                              <u>$40600  </u>

                                                                                                 <u>   $307,400</u>

As at 31 Dec 2014

Cost as at Jan 1, 2013                                                                $307,400

Additional cost during the year:

Research aimed at modifying the design                                <u>$41,600 </u>

                                                                                                   <u> $349,000</u>

As at 31 Dec 2018

Cost as at Jan 1, 2018                                                                $349,000

Additional cost during the year:

legal fee paid in unseccesful patent infrigement.                   <u>  $36,000  </u>

                                                                                                    <u>$385,000</u>

Amortization for the year    

Dec 31 2011         $182,300/17 =  $10,724

Dec 31 2012

182,300/17                                          10,724

84,500/0                                          <u>      -       </u>

                                                         <u>  10,724</u>

<u />

Dec 31 , 2013 :

  $182,300/17 =  $10,724            

  84,500/16    =      5,281

40,600/0     =     <u>    -  </u>

                         <u>   16,005</u>

Dec 31 2014  =  

$182,300/17 =  $10,724            

  84,500/16    =      5,281

40,600/16     =       2,538

41,600/17      =       <u> 2,447</u>

                         <u>   20,990</u>

Dec 31 2018  =  

$182,300/17 =  $10,724            

  84,500/16    =      5,281

40,600/16     =       2,538

41,600/17      =        2,447

36,000/0     =    <u>       -</u>

                         <u>   20,990</u>

Explanation:

5 0
3 years ago
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