Douglas can afford 240$ a month for five years for a car loan. If the APR is 8.5%, how much can he afford to borrow to purchase a car if he has 10,000 as a down payment?

Douglas can afford 21697.88 to borrow to purchase a car.

Explanation:

As the formula for calculating present value is given as:

PV = PMT * ( (1-(1+r)^-n) / r )

As Douglas can afford 240$ a month for five years for a car loan so

it means that payment = 240 $

As the APR is 8.5% which means after dividing by 12 the rate per month = 8.5%/12

Total number of Months = 5*12

Total number of Months = 60

Putting these values into the above formula, we get

PV = PMT * ( (1-(1+r)^-n) / r )

PV = 240 * ( (1-(1+8.5%/12)^-60) / (8.5%/12) )

PV = 11697.88

As the down payment = 10,000 so the total value of car

= 11697.88+10000

= 21697.88

Douglas can afford 21697.88 to borrow to purchase a car.

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