Find the future value of an annuity due

Financial Accounting Intro Concepts Meth/Uses
14th Edition
ISBN:9781285595047
Author:Weil
Publisher:Weil
ChapterA: Appendix - Time Value Of Cash Flows: Compound Interest Concepts And Applications
Section: Chapter Questions
Problem 25E
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Find the future value of an annuity due of $8,000 paid at the beginning of each 6-month period for 6 years if the interest rate is 6%, compounded semiannually. (Round your answer to the nearest cent.)

Expert Solution
Step 1

An Annuity is a series of payments of fixed amounts and at fixed intervals.

These can be of two types:

  • Ordinary Annuity – payment is made at the end of each period.
  • Annuity Due – Payment is made at the beginning of each period

FV of an annuity due can be calculated as:

FV = Cr1+rn-1 × 1+r

Where C denotes the fixed installment, or $ 8,000

r denotes the rate of interest, 6% annually or 0.03 compounded semi-annually

n denotes the number of installments or 6 years; 12 periods

 

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