Question

Payment period - 36 months 2010 Honda Clvic RS Cash price R83 000 Credit Interest rate-18% per annum Deposit-10% of cost pric

How do we calculate annual payments when given balloon payment at the end as is the case here?

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Answer #1

Initial vehicle deposit: $8,300.00

Loan payments: $82,924.14

Balloon payment at end: $13,000.00

Total payable: $104,224.14

30 monthly payments of: $2,764.14

Total interest: $21,224.14

83000-8300 = Monthly Payment x Discount Factor of 30 months, interest 18% pa + 13000 x Discount Factor of 30th month, interest 18% pa

74700 = Monthly Payment x 24.0132 +13000 x 0.6403

74700 = Monthly Payment x 24.0132 + 8324

74700 - 8324 = Monthly Payment x 24.0132

66376 / 24.0132 = Monthly Payment

Monthly Payment = 2764.14

*Discount Factor of 30 months  = {[(1 + Discount Rate ) ^Period ] - 1} / [Discount Rate(1 + Discount Rate)^Period]

={[1+0.18/12)^30]-1}/[0.18/12(1+0.18/12)^30] = (1.5631-1)/0.2345 = 24.0132

**Discount Factor of 30th month = 1 / (1 x (1 + Discount Rate) ^ Period Number)

= 1/ (1 x(1+0.18/12)^30) = 1/1.5631 = 0.6403

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