How Is Penelope's Monthly Lease Payment Calculated?

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Penelope is calculating her monthly lease payment for a car valued at $43,195 with a $4,300 down payment, a four-year lease at 2.91 percent interest compounded monthly, and a $20,000 buyout at the end. The present value of the buyout payment is calculated to be approximately $17,804.89. After subtracting the down payment and the present value of the buyout from the car's price, the formula for the monthly payment results in an amount close to $464.85. There is some uncertainty regarding the calculations, as one participant arrives at $465 while another confirms the correct payment is $464.85. Accurate calculations are crucial for determining the exact monthly lease payment.
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Penelope wants to buy a car that is worth $43,195 by making a $4300 down payment and arranging a four-year lease
that calls for monthly payments in advance, interest of 2.91 percent compounded monthly, and a buyout payment of
$20,000 at the end of the lease. Calculate the amount of the monthly lease payment Penelope must make.


So what I thought of doing is

I subtract

43195 - 4300 - PRESENTVALUE OF (20000) = A[1-(((1+(0.0291/12))^-48))/]

PRESENTVALUE OF (20000) = 20000/((1+(0.0291/12))^48) = 17804.89

I get A = 465,

Im not sure if this is right, the solution saids 464.85, I carried all my decimals in my calculations as well.
 
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Larrytsai said:
Penelope wants to buy a car that is worth $43,195 by making a $4300 down payment and arranging a four-year lease
that calls for monthly payments in advance, interest of 2.91 percent compounded monthly, and a buyout payment of
$20,000 at the end of the lease. Calculate the amount of the monthly lease payment Penelope must make.


So what I thought of doing is

I subtract

43195 - 4300 - PRESENTVALUE OF (20000) = A[1-(((1+(0.0291/12))^-48))/]
Your equation seems to be missing some factors.

PRESENTVALUE OF (20000) = 20000/((1+(0.0291/12))^48) = 17804.89

I get A = 465.

I'm not sure if this is right. The solution said 464.85. I carried all my decimals in my calculations as well.
My calculations come up with 464.85. Without seeing the details of your calculation, it's impossible to say what went wrong.
 
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