Finding the Present Value Compounded Monthly

  • Thread starter Thread starter runicle
  • Start date Start date
  • Tags Tags
    Value
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 8K views
runicle
Messages
75
Reaction score
0
At the end of the season, the jeep Carmen is buying is offered with 0% financing for 48 months. The negoctiated cost is $38 400, plus GST and PST. The total cost is divided into equal payments for 48 months, with the first payment on the date of purchase. Carmen will make the first payment, then invest an amount to provide the money each month for the remaining payments, which start in a month. How much must Carmen invest, at 6% per annun, compounded monthly, to have the amount each month for the payment?
Let present value be PV
PV=R x (1 + i)^-n / i

This is what i did.
PV = 38400 x (1 - (1 + 0.06/12)^-48)/ 0.06/12
PV = 7 680 000 x 0.21290588
PV = 1 635 084

Is there any complication / error?
 
Physics news on Phys.org
so the amount of INTEREST per month should equal the amount that needs to be paid per month.

what is the amount per month? $38400 + GST + PST divded by the number of months.

calculate the amount u would need to invest if the interest it paid per month is equal to what u just got above. Also Carmen is investing the money AFTER the first payment so for how many periods will the interest be paying?