If the interest rate is 6% compounded monthly, how voluminous will the balloon gift be? A car is purchased for $6287.10 next to $2000 down and a
A car is purchased for $6287.10 next to $2000 down and a loan to be repaid $100 a month for 3 years followed by a balloon payment.
Answers: I won't do this for you -- but will describe you how to do it.
The present value of your payments have to be $6287.10.
You pay $2000 presently, so the PV of the remaining value have to be $4287.10.
This remaining value have two parts -- the value of the annuity and the pro of the balloon payment.
If the balloon grant is paid at year three -- you really individual have 35 monthly payments of $100. The effectiveness of this annuity is:
PV_A = 100/r - 100/[r*(1+r)^35]
Here PV_A is the present value of the annuity and r is the monthly interest rate (5%/12 = 0.5%)
This vehicle that the PV of the balloon payment is equal to X = $4287.10-PV_A.
The balloon expense is equal to the future helpfulness of that -- which is equal to X*(1+r)^36
Good luck.
This would be a really bad opinion.
Buy a cheaper car. Avoid balloon payments.
2000(1 x interest/12)^x = your answer
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