Minimum Nest Egg in Today's Dollars? [closed]





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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


Please note: I'm not in school and this isn't a homework question. I'm just trying to learn what formulas are needed for retirement planning.










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closed as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L Nov 21 at 15:05



  • 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
    Nov 21 at 3:50






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    Nov 21 at 6:30










  • @Aganju This is not a homework question.
    – Seth
    2 days ago










  • We could reopen this question, but we'd then have to close it as a duplicate of money.stackexchange.com/questions/26368
    – Nathan L
    yesterday

















up vote
-1
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


Please note: I'm not in school and this isn't a homework question. I'm just trying to learn what formulas are needed for retirement planning.










share|improve this question















closed as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L Nov 21 at 15:05



  • 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
    Nov 21 at 3:50






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    Nov 21 at 6:30










  • @Aganju This is not a homework question.
    – Seth
    2 days ago










  • We could reopen this question, but we'd then have to close it as a duplicate of money.stackexchange.com/questions/26368
    – Nathan L
    yesterday













up vote
-1
down vote

favorite









up vote
-1
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


Please note: I'm not in school and this isn't a homework question. I'm just trying to learn what formulas are needed for retirement planning.










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


Please note: I'm not in school and this isn't a homework question. I'm just trying to learn what formulas are needed for retirement planning.







401k retirement interest inflation






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share|improve this question













share|improve this question




share|improve this question








edited yesterday

























asked Nov 20 at 20:43









Seth

15610




15610




closed as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L Nov 21 at 15:05



  • 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.




closed as off-topic by Aganju, Dheer, Pete B., Bob Baerker, Nathan L Nov 21 at 15:05



  • 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
    Nov 21 at 3:50






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    Nov 21 at 6:30










  • @Aganju This is not a homework question.
    – Seth
    2 days ago










  • We could reopen this question, but we'd then have to close it as a duplicate of money.stackexchange.com/questions/26368
    – Nathan L
    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
    Nov 21 at 3:50






  • 6




    I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
    – Aganju
    Nov 21 at 6:30










  • @Aganju This is not a homework question.
    – Seth
    2 days ago










  • We could reopen this question, but we'd then have to close it as a duplicate of money.stackexchange.com/questions/26368
    – Nathan L
    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
Nov 21 at 3:50




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
Nov 21 at 3:50




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
Nov 21 at 6:30




I'm voting to close this question as off-topic because this looks like a homework question with no solution effort shown.
– Aganju
Nov 21 at 6:30












@Aganju This is not a homework question.
– Seth
2 days ago




@Aganju This is not a homework question.
– Seth
2 days ago












We could reopen this question, but we'd then have to close it as a duplicate of money.stackexchange.com/questions/26368
– Nathan L
yesterday




We could reopen this question, but we'd then have to close it as a duplicate of money.stackexchange.com/questions/26368
– Nathan L
yesterday










1 Answer
1






active

oldest

votes

















up vote
9
down vote



accepted










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
    Nov 21 at 2:03










  • 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
    Nov 21 at 2:14


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
9
down vote



accepted










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
    Nov 21 at 2:03










  • 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
    Nov 21 at 2:14















up vote
9
down vote



accepted










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
    Nov 21 at 2:03










  • 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
    Nov 21 at 2:14













up vote
9
down vote



accepted







up vote
9
down vote



accepted






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 Nov 20 at 21:42

























answered Nov 20 at 20:54









D Stanley

50.3k8150159




50.3k8150159








  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    Nov 21 at 2:03










  • 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
    Nov 21 at 2:14














  • 2




    When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
    – Bob
    Nov 21 at 2:03










  • 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
    Nov 21 at 2:14








2




2




When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
– Bob
Nov 21 at 2:03




When you adjust for inflation, the number I compute is 536,360*(1.04)^20 or 1,175,230.
– Bob
Nov 21 at 2:03












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
Nov 21 at 2:14




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
Nov 21 at 2:14



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