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I can't figure out the formula to get this calculator to work
http://www.smartmoney.com/retirement...tory=moneylast I've tried combining the payment and PV functions and I can get it to work if return is 0% with some inflation rate, but I can't figure out hot to factor the two together. If a portfolio is equal to 25,000 and it has to last 2 years (24 periods) given a rate of return of 5% and an inflation rate of 4% the maximum yearly withdrawal is $12,805. What is the formula in Excel to generate this number? |
#2
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Not sure how you got 12,805 - the web calculator gives me 12,560.
Which would correspond (approximately) with =PMT((5%-4%),2,-25000,0,1) === 12,562.19 In article , Ted Metro wrote: I can't figure out the formula to get this calculator to work http://www.smartmoney.com/retirement...tory=moneylast I've tried combining the payment and PV functions and I can get it to work if return is 0% with some inflation rate, but I can't figure out hot to factor the two together. If a portfolio is equal to 25,000 and it has to last 2 years (24 periods) given a rate of return of 5% and an inflation rate of 4% the maximum yearly withdrawal is $12,805. What is the formula in Excel to generate this number? |
#3
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Thanks, yeah I'm tired it is ---- 12,560.
Something is very close, but not quite right because the error in that formula becomes magnified as I use longer time horizons in the calculator. That gives me a place to experiment though, thanks for the lead. "JE McGimpsey" wrote: Not sure how you got 12,805 - the web calculator gives me 12,560. Which would correspond (approximately) with =PMT((5%-4%),2,-25000,0,1) === 12,562.19 In article , Ted Metro wrote: I can't figure out the formula to get this calculator to work http://www.smartmoney.com/retirement...tory=moneylast I've tried combining the payment and PV functions and I can get it to work if return is 0% with some inflation rate, but I can't figure out hot to factor the two together. If a portfolio is equal to 25,000 and it has to last 2 years (24 periods) given a rate of return of 5% and an inflation rate of 4% the maximum yearly withdrawal is $12,805. What is the formula in Excel to generate this number? |
#4
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I got it!
=PMT((PV(inflation,1,-(interest rate-inflation rate)*100,0)/100),years to last,-current value,0,1) "Ted Metro" wrote: Thanks, yeah I'm tired it is ---- 12,560. Something is very close, but not quite right because the error in that formula becomes magnified as I use longer time horizons in the calculator. That gives me a place to experiment though, thanks for the lead. "JE McGimpsey" wrote: Not sure how you got 12,805 - the web calculator gives me 12,560. Which would correspond (approximately) with =PMT((5%-4%),2,-25000,0,1) === 12,562.19 In article , Ted Metro wrote: I can't figure out the formula to get this calculator to work http://www.smartmoney.com/retirement...tory=moneylast I've tried combining the payment and PV functions and I can get it to work if return is 0% with some inflation rate, but I can't figure out hot to factor the two together. If a portfolio is equal to 25,000 and it has to last 2 years (24 periods) given a rate of return of 5% and an inflation rate of 4% the maximum yearly withdrawal is $12,805. What is the formula in Excel to generate this number? |
#5
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On Apr 6, 10:18 pm, Ted Metro
wrote: "JE McGimpsey" wrote: Ted Metro wrote: I can't figure out the formula to get this calculator to work http://www.smartmoney.com/retirement...tory=moneylast [....] If a portfolio is equal to 25,000 and it has to last 2 years (24 periods) given a rate of return of 5% and an inflation rate of 4% the maximum yearly withdrawal is $12,805. Not sure how you got 12,805 - the web calculator gives me 12,560. Which would correspond (approximately) with =PMT((5%-4%),2,-25000,0,1) === 12,562.19 Thanks, yeah I'm tired it is ---- 12,560. Something is very close, but not quite right because the error in that formula becomes magnified as I use longer time horizons in the calculator. That's because "5%-4%" is only a common approximation. Refer to http://learningforlife.fsu.edu/cours...entReturns.htm . =round(pmt((1+5%)/(1+4%)-1, 2, -25000, 0, 1) yields 12,560. For a more interesting and arguably more realistic example, try a PV of 100,000 over 30 years with an average after-tax return of 5% and average inflation of 3%. =round(pmt((1+5%)/(1+3%)-1, 30, -100000, 0, 1) yields 4345, which matches the result of the smartmoney.com calculator. |
#6
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Thanks joeu2004 -- good info !!
"joeu2004" wrote: On Apr 6, 10:18 pm, Ted Metro wrote: "JE McGimpsey" wrote: Ted Metro wrote: I can't figure out the formula to get this calculator to work http://www.smartmoney.com/retirement...tory=moneylast [....] If a portfolio is equal to 25,000 and it has to last 2 years (24 periods) given a rate of return of 5% and an inflation rate of 4% the maximum yearly withdrawal is $12,805. Not sure how you got 12,805 - the web calculator gives me 12,560. Which would correspond (approximately) with =PMT((5%-4%),2,-25000,0,1) === 12,562.19 Thanks, yeah I'm tired it is ---- 12,560. Something is very close, but not quite right because the error in that formula becomes magnified as I use longer time horizons in the calculator. That's because "5%-4%" is only a common approximation. Refer to http://learningforlife.fsu.edu/cours...entReturns.htm . =round(pmt((1+5%)/(1+4%)-1, 2, -25000, 0, 1) yields 12,560. For a more interesting and arguably more realistic example, try a PV of 100,000 over 30 years with an average after-tax return of 5% and average inflation of 3%. =round(pmt((1+5%)/(1+3%)-1, 30, -100000, 0, 1) yields 4345, which matches the result of the smartmoney.com calculator. |
#7
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Errata....
On Apr 7, 5:33 am, "joeu2004" wrote: =round(pmt((1+5%)/(1+4%)-1, 2, -25000, 0, 1) [....] =round(pmt((1+5%)/(1+3%)-1, 30, -100000, 0, 1) Well, at least my typos are consistent ;-). Of course, those should be: =round(pmt(...), 0) |
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