Engineering Board Exam Reviewer · Annuity Due and Deferred Annuity · hard

A man deposits P5,000 at the beginning of each year for 10 years at 8% interest and leaves the accumulated amount untouched for 5 more years. Find the amount at the end of year 15.

  1. P106,427.56
  2. P114,941.77
  3. P78,227.44
  4. P135,760.57

Answer

B. P114,941.77

Solution

The accumulation at the end of year 10 for an annuity due is 5,000(F/A,8%,10)(1.08)=5,000(14.4866)(1.08)=P78,227.44. Growing 5 more years: 78,227.44(1.08)5=P114,941.77.

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