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8. Horatio has a future value retirement savings need of $825,000. His planned retirement date is 15 years from now, and he b
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Answer #1

ANSWER FOR THIS SOLUTION IS OPTION A) $29,222

SOLUTION:

GIVEN IN THE PROBLEM - a) FUTURE VALUE OF SAVINGS(FV) = $825,000

b) RATE OF RETURN (r)= 8.5%

c) PERIOD(n) = 15 YEARS

d) SERIES OF ANNUAL PAYMENTS(ANNUITY) AT THE END OF EACH YEAR(C) = ?

FORMULA

FV = C*[(1+r)n - 1 / r]

825000 = C * [(1+.085)15 - 1 / .085]

825000= C* [(1.085)15-1/.085]

825000= C*[(3.3997-1)/.085]

825000= C*[2.3997/.085]

825000= C*28.2318

C=825000/28.2318

C= $ 29,222

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