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Finance Annuity Due Payment?
I cannot figure out this problem for my finance class please help.
You want to buy a new sports car from Muscle Motors for $74,000. The contract is in the form of a 72-month annuity due at a 7.05 percent APR. What will your monthly payment be? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e.g., 32.16))
3 Answers
- Don GLv 78 years agoFavorite Answer
The formula for the PV of an Annuity Due is (1 - (1 / (1 + r) ^n) / r ) x (1 + r).
Here PV is known, it's 74,000. R = 7.05% / 12, or .5875%, and N = 72.
So 74,000 = (1 - (1 / 1.005875^72) / .005875) x 1.005875, and
74,000 = (1 - (1 / 1.524646) / .005875) = (1 - .65589) / .005875 = .34411 / .005875 = 58.571915 x 1.005875 = 58.916025 (factor).
So 74,000 = Annuity Due x 58.916025, and Annuity Due = 74,000 / 58.916025, or 1,256.03
Of course, using a financial calculator, with payments set at BGN, is much easier.
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