Engineering Economics: Converting a NFW to an AEW (future worth)

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SUMMARY

The discussion centers on converting a net future worth of $72,700 after 5 years at a 10% interest rate into an annual equivalent worth over 20 years at the same interest rate. Participants confirm that this conversion is feasible by treating the future worth as an annuity at 10% interest for 20 years. The key calculation involves determining the annual payout that will deplete the principal by the end of the term. The discussion emphasizes the importance of understanding net present value (NPV) in this context.

PREREQUISITES
  • Understanding of net present value (NPV)
  • Knowledge of annuity calculations
  • Familiarity with compounding interest principles
  • Basic financial mathematics
NEXT STEPS
  • Learn how to calculate annuities using financial formulas
  • Study the concept of net present value (NPV) in depth
  • Explore the implications of compounding interest over different time periods
  • Research financial calculators or software for annuity calculations
USEFUL FOR

Finance students, financial analysts, and anyone involved in investment planning or economic engineering will benefit from this discussion.

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given a net future worth of $72700 after 5 years at 10% interest is it possible to convert it to an annual equivalent worth that is 20 years at 10% interest?
 
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If you are asking what the value of $72700 will be in 15 years from that date simply google "calculate compounding interest".
 
I have $72700 worth of Future worth and I want to convert it in an annuity factor that is 20 years I have already found the compounded interest. I just want to know given Net present worth can I convert it into annual equivalent worth.
 
garr6120 said:
I have $72700 worth of Future worth and I want to convert it in an annuity factor that is 20 years I have already found the compounded interest. I just want to know given Net present worth can I convert it into annual equivalent worth.
Sure. If you have a net present value of X, what annual payout can you take at 10% interest so that at the end of 20 years, all the principal is consumed? This is the same as an annuity of X at 10% interest for 20 years of payments.
 
garr6120 said:
given a net future worth of $72700 after 5 years at 10% interest is it possible to convert it to an annual equivalent worth that is 20 years at 10% interest?
Is this a schoolwork question?
 
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