At a 10% annual interest rate, what is the present value of a P500 annuity active exclusively during the third and fourth years ?
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Answer: B. P 717.17
Explanation
The present value calculation must discount the specific cash flows occurring in years three and four. Using a ten percent discount rate properly reduces future cash flows to their equivalent value at year zero. Summing the discounted values of the five hundred currency units for both years results in 717.17. An annuity represents a series of equal periodic payments made at regular intervals over a specific time. Discounting future money accounts for the time value of money and anticipated interest earning potential. The present value formula multiplies each future payment by one divided by one plus the interest rate.
Engineers use present value analysis to evaluate capital investments with multi-year operational cost schedules. Deferred annuity calculations help structure retirement payouts and structured financial settlement agreements. Accurately valuing multi-year cash flows ensures businesses make profitable equipment purchasing decisions. Other numerical options fail to account for the exact compound discount factors corresponding to years three and four. Option values like 731.17 incorrectly apply annuity due formulas instead of standard ordinary annuity timing. Minor arithmetic errors in exponentiation frequently lead incorrect choices away from the exact computed value.
- Subject
- Engineering
- Category
- Civil Engineering
- Topic
- —
- Difficulty
- medium
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