Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(Related to Checkpoint 6.1) (Annuity payments) Mr. Bill S. Preston, Esq., purcha

ID: 2809443 • Letter: #

Question

(Related to Checkpoint 6.1) (Annuity payments) Mr. Bill S. Preston, Esq., purchased a new house for

$110,000.

He paid

$15,000

upfront and agreed to pay the rest over the next

15

years in

15

equal annual payments that include principal payments plus

11

percent compound interest on the unpaid balance. What will these equal payments be?

b.If Bill agrees to pay the loan over the next

15

years in

15

equal end-of-year payments plus

11

percent compound interest on the unpaid balance, what will these equal payments be?

Explanation / Answer

Total borrowings=(110000-15000)=$95000

Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate

95000=Annuity[1-(1.11)^-15]/0.11

95000=Annuity*7.190869576

Annuity=95000/7.190869576

which is equal to

=$13211.20(Approx)=equal payments.