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VladimirAG [237]
2 years ago
7

Jamal gets qualified for a 30,000 car loan that has a 5 year term and has an interest rate of 5.9% APR. He decides to take those

loan terms to purchase the car. How much is his monthly payment?
Business
1 answer:
stiks02 [169]2 years ago
6 0

Jamal's monthly payment for the car loan is $578.59.

Data and Calculations:

Amount of Jamal's auto loan = $30,000

Term of the auto loan = 5 years or 60 months

Interest rate payable = 5.9% APR

Monthly payment from an online financial calculator:

Monthly Pay = $578.59

Total Loan Amount = $30,000.00

Upfront Payment = $0.00

Total of 60 Loan Payments = $34,715.41

Total Loan Interest  = $4,715.41

Total Cost = $34,715.41

Thus, Jamal will be making a monthly payment of $578.59.

Learn more about calculating monthly payments for auto loans at brainly.com/question/11866605

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The difference between the annuity payment paid under the annual plan and that under the monthly plan is $11,496.43.

The Annuity Difference

An annuity is a series of payments made at equal intervals such as monthly, quarterly, or annually.

The annuity payment under each of the two plans in the question can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

For the annual plan, the annuity payment can be calculated using equation (1) as follows:

PV = Present value = Loan from bank = Purchase price * (100% - Percentage of down payment) = $180,000 * (100% - 20%) = $144,000

PA = P = Annuity payment under annual plan = ?

r = APR = 7%, or 0.07

n = number of periods or years = 30

Substitute the values into equation (1) and solve for PA, we have:

$144,000 = PA * ((1 - (1 / (1 + 0.07))^30) / 0.07)

$144,000 = PA * 12.4090411835059

PA = $144,000 / 12.4090411835059

PA = $11,604.44

For the monthly plan, the annuity payment can be calculated using equation (1) as follows:

PV = Present value = Loan from bank = $144,000

PM = Annuity payment under monthly plan = ?

r = APR / 12 = 7% /12 = 0.07 / 12 = 0.00583333333333333

n = number of periods or months = 30 * 12 = 360

Substitute the values into equation (1) and solve for PM, we have:

$144,000 = PM * ((1 - (1 / (1 + 0.00583333333333333))^360) / 0.00583333333333333)

$144,000 = PM * 150.307567947822

PM = $144,000 / 150.307567947822

PM = $958.04

The difference between the annuity payment paid under the annual plan and that under the monthly plan can therefore be calculated as follows:

Difference = PA – PM = $11,604.44 - $958.04 = $11,496.43

Therefore, the difference between the annuity payment paid under the annual plan and that under the monthly plan is $11,496.43.

Learn more here: brainly.com/question/13405769.

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2 years ago
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