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(Annuity payments) Mr. Bill S.​ Preston, Esq., purchased a new house for ​$60000. He paid ​$25000...

(Annuity payments) Mr. Bill S.​ Preston, Esq., purchased a new house for ​$60000. He paid ​$25000 upfront and agreed to pay the rest over the next 20 years in 20 equal annual payments that include principal payments plus 12 percent compound interest on the unpaid balance. What will these equal payments​ be? a.  Mr. Bill S.​ Preston, Esq., purchased a new house for ​$60 000 and paid ​$25000 upfront. How much does he need to borrow to purchase the​ house? ​$ nothing  ​(Round to the nearest​ dollar.)

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Answer #1

Remaining balance = $60,000 - $25,000 = $35,000

Present value = Annuity * [1 - 1 / ( 1 + r)n] / r

35,000 = Annuity * [1 - 1 / ( 1 + 0.12)20] / 0.12

35,000 = Annuity * [1 - 0.103667] / 0.12

35,000 = Annuity * 7.469444

Annuity = $4,686

Equal payments will be $4,686

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