Minimum Nest Egg in Today's Dollars? [on hold]





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As a follow-on to this question, if you wanted to have a $2.5 million nest egg in 20 years, what would the nest egg value have to be today (assuming no future contributions)?



Assume:




  • 20 years until first withdrawal

  • 4.0% annual inflation

  • 8.0% annual return

  • $2.5 million future balance










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put on hold as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L 16 hours ago



  • This question does not appear to be about Personal Finance within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 4




    I downvoted and would vote to close but I don't have the rep on this site as this is clearly homework with no effort shown.
    – Ross Millikan
    yesterday






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    yesterday

















up vote
0
down vote

favorite












As a follow-on to this question, if you wanted to have a $2.5 million nest egg in 20 years, what would the nest egg value have to be today (assuming no future contributions)?



Assume:




  • 20 years until first withdrawal

  • 4.0% annual inflation

  • 8.0% annual return

  • $2.5 million future balance










share|improve this question















put on hold as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L 16 hours ago



  • This question does not appear to be about Personal Finance within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 4




    I downvoted and would vote to close but I don't have the rep on this site as this is clearly homework with no effort shown.
    – Ross Millikan
    yesterday






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    yesterday













up vote
0
down vote

favorite









up vote
0
down vote

favorite











As a follow-on to this question, if you wanted to have a $2.5 million nest egg in 20 years, what would the nest egg value have to be today (assuming no future contributions)?



Assume:




  • 20 years until first withdrawal

  • 4.0% annual inflation

  • 8.0% annual return

  • $2.5 million future balance










share|improve this question















As a follow-on to this question, if you wanted to have a $2.5 million nest egg in 20 years, what would the nest egg value have to be today (assuming no future contributions)?



Assume:




  • 20 years until first withdrawal

  • 4.0% annual inflation

  • 8.0% annual return

  • $2.5 million future balance







401k retirement interest inflation






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edited yesterday









Mathieu Guindon

1033




1033










asked yesterday









Seth

15610




15610




put on hold as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L 16 hours ago



  • This question does not appear to be about Personal Finance within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L 16 hours ago



  • This question does not appear to be about Personal Finance within the scope defined in the help center.

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 4




    I downvoted and would vote to close but I don't have the rep on this site as this is clearly homework with no effort shown.
    – Ross Millikan
    yesterday






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    yesterday














  • 4




    I downvoted and would vote to close but I don't have the rep on this site as this is clearly homework with no effort shown.
    – Ross Millikan
    yesterday






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    yesterday








4




4




I downvoted and would vote to close but I don't have the rep on this site as this is clearly homework with no effort shown.
– Ross Millikan
yesterday




I downvoted and would vote to close but I don't have the rep on this site as this is clearly homework with no effort shown.
– Ross Millikan
yesterday




6




6




I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
– Aganju
yesterday




I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
– Aganju
yesterday










1 Answer
1






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up vote
9
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The formula for future value with no contribution is just FV = PV(1+r)^n, so reversing that to find present value, you get PV = FV / (1+r)^n.



So in your case:



     2,500,000 
PV = --------- = 536,360
(1.08)^20


Note that inflation is irrelevant in your question since you didn't ask about the equivalent of 2.5 million in today's dollars. But if you wanted that, you'd just subtract the rate of inflation from r and make the same calculation.






share|improve this answer



















  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    yesterday










  • Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
    – JoeTaxpayer
    yesterday


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
9
down vote













The formula for future value with no contribution is just FV = PV(1+r)^n, so reversing that to find present value, you get PV = FV / (1+r)^n.



So in your case:



     2,500,000 
PV = --------- = 536,360
(1.08)^20


Note that inflation is irrelevant in your question since you didn't ask about the equivalent of 2.5 million in today's dollars. But if you wanted that, you'd just subtract the rate of inflation from r and make the same calculation.






share|improve this answer



















  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    yesterday










  • Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
    – JoeTaxpayer
    yesterday















up vote
9
down vote













The formula for future value with no contribution is just FV = PV(1+r)^n, so reversing that to find present value, you get PV = FV / (1+r)^n.



So in your case:



     2,500,000 
PV = --------- = 536,360
(1.08)^20


Note that inflation is irrelevant in your question since you didn't ask about the equivalent of 2.5 million in today's dollars. But if you wanted that, you'd just subtract the rate of inflation from r and make the same calculation.






share|improve this answer



















  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    yesterday










  • Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
    – JoeTaxpayer
    yesterday













up vote
9
down vote










up vote
9
down vote









The formula for future value with no contribution is just FV = PV(1+r)^n, so reversing that to find present value, you get PV = FV / (1+r)^n.



So in your case:



     2,500,000 
PV = --------- = 536,360
(1.08)^20


Note that inflation is irrelevant in your question since you didn't ask about the equivalent of 2.5 million in today's dollars. But if you wanted that, you'd just subtract the rate of inflation from r and make the same calculation.






share|improve this answer














The formula for future value with no contribution is just FV = PV(1+r)^n, so reversing that to find present value, you get PV = FV / (1+r)^n.



So in your case:



     2,500,000 
PV = --------- = 536,360
(1.08)^20


Note that inflation is irrelevant in your question since you didn't ask about the equivalent of 2.5 million in today's dollars. But if you wanted that, you'd just subtract the rate of inflation from r and make the same calculation.







share|improve this answer














share|improve this answer



share|improve this answer








edited yesterday

























answered yesterday









D Stanley

50.1k8150159




50.1k8150159








  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    yesterday










  • Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
    – JoeTaxpayer
    yesterday














  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    yesterday










  • Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
    – JoeTaxpayer
    yesterday








2




2




When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
– Bob
yesterday




When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
– Bob
yesterday












Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
– JoeTaxpayer
yesterday




Just as I was about to comment that 4% felt high, I looked at inflation for 50 years 1967-2017, and sure enough, 4.1% CAGR. Spoiled by the recent low rates, last 20 years or so.
– JoeTaxpayer
yesterday



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