Answer:
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.
= New Forecast
= Previous period's forecast.
= Smoothing Constant
= Previous period's Actual Demand.