Comparisons of home improvement costs.
Company Total Remodeling Cost Financing Terms Ramona is Considering
Large Home Improvement Store $13,200
Financing through the bank servicing the national home improvement company: 1 year 0% financing with a minimum monthly payment of $100; 16.99% APR for the remaining 3 years
Local Small Business Home Improvement Company $11,800
Financing through her local credit union: 3% origination fee to be paid first then 7.5% APR for 5 years
Online Construction Business $10,200
Financing through an online banking service: $1,000 applied toward the project before payback begins then 11.9% APR for 4 years.


Calculate the monthly payments for 2 of these options given that interest is compounded monthly.

What is the total amount that must be paid for each of the 2 options you chose?
In the 2 options you chose, what percentage of the total amounts to be paid back to each financial institution is interest?

How would you explain to Ramona the differences between these percentages and their corresponding APR’s?

Based on the financial outcomes for the 2 options you chose, which company would you suggest that Ramona choose to remodel her kitchen? Defend your suggestion.

Respuesta :

1. The monthly payments for 2 of these options are:

  • Local Small Business Home Improvement Company = $236.45
  • Online Construction Business = $294.39.

2. The total payments for 2 of these options are:

  • Local Small Business Home Improvement Company = $14,540.87
  • Online Construction Business = $14,130.69.

3. The percentage of the total amounts to be paid back as interest is:

  • Local Small Business Home Improvement Company = 16.41%
  • Online Construction Business = 20.74%.

4. The percentages above represent the aggregated interest portion of the total payments, while the APR (annual percentage interest) represents the yearly financing cost charged by the financing institution for extending credit.

5. Ramona should choose the Online Construction Business to remodel her kitchen because the total cost she will incur is less than the total cost for the Local Small Business Home Improvement Company.

Large Home Improvement Store:

Home improvement cost = $13,200

Financing:

Year 1 0% monthly payment of $100 = $1,200

Balance after Year 1 = $12,000

APR 16.99%

Remaining payment period = 3 years

N (# of periods) = 36 months

I/Y (Interest per year) = 16.99%

PV (Present Value) = $12,000

FV (Future Value) = $0

Results:

PMT = $427.77

Sum of all periodic payments = $15,399.83

Total Interest = $3,399.83

Total costs = $16,599.83 ($15,399.83 + $1,200)

Local Small Business Home Improvement Company:

Home improvement cost = $11,800

Financing:

3% origination fee = $354 ($11,800 x 3%)

APR = 7.5%

Payment period = 5 years

N (# of periods) = 60 months (5 years x 12)

I/Y (Interest per year) = 7.5%

PV (Present Value) = $11,800

FV (Future Value) = $0

Results:

PMT = $236.45

Sum of all periodic payments = $14,186.87

Total Interest = $2,386.87

Total costs = $14,540.87 ($14,186.87 + $354)

Interest as a percentage of the total payment = 16.41% ($2,386.87/$14,540.87 x 100)

Online Construction Business:

Home improvement cost = $10,200

Additional applied amount = $1,000

Total = $11,200

APR = 11.9%

Payment period = 4 years

N (# of periods) = 48 months (4 years x 12)

I/Y (Interest per year) = 11.9%

PV (Present Value) = $11,200

FV (Future Value) = $0

Results:

PMT = $294.39

Sum of all periodic payments = $14,130.69

Total Interest = $2,930.69

Total cost = $14,130.69

Interest as a percentage of the total payment = 20.74% ($2,930.69/$14,130.69 x 100)

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