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

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Discussion Overview

The discussion revolves around the conversion of a net future worth of $72,700 after 5 years at 10% interest into an annual equivalent worth over a period of 20 years at the same interest rate. Participants explore the feasibility of this conversion and the necessary calculations involved.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant inquires whether it is possible to convert a net future worth of $72,700 into an annual equivalent worth over 20 years at 10% interest.
  • Another participant suggests using online tools to calculate compounding interest for determining the future value.
  • A further response confirms that if a net present value is known, it is possible to determine the annual payout that can be taken at 10% interest over 20 years, framing it as an annuity problem.
  • One participant questions if the original inquiry is related to schoolwork.

Areas of Agreement / Disagreement

The discussion contains multiple viewpoints regarding the conversion process and the methods to achieve it. There is no consensus on the approach or the necessity of the calculations involved.

Contextual Notes

Participants reference net present worth and annuity factors without detailing specific formulas or assumptions. The discussion does not resolve the mathematical steps required for the conversion.

Who May Find This Useful

Individuals interested in engineering economics, financial mathematics, or students working on related homework problems may find this discussion relevant.

garr6120
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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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