### Variable Percentage Withdrawal (VPW)

Posted:

**Thu Jul 25, 2013 11:12 pm**PLEASE read the FREQUENTLY ASKED QUESTIONS (F.A.Q.) section of the following post before posting your question:http://www.bogleheads.org/forum/viewtop ... 0#p1761563 .

**DOWNLOAD LOCATION**

You can find the link to download the

*latest version*on the Bogleheads Wiki Variable Percentage Withdrawal page.

**SCREENSHOT**

Hi,The Variable Percentage Withdrawal methodwas improved and simplified (relative to this initial post) to only require the retirement age and asset allocation. If you do not wish to download the above spreadsheet, see the following post for the improved version along with generic withdrawal tables: http://www.bogleheads.org/forum/viewtop ... 0#p1761563 .

I'm seeking comments on a withdrawal method I've thought up. I've been reading the forums for a while and I've read many Safe Withdrawal Rate (SWR) threads. I've also read the Withdrawal Methods Wiki page. Yet, I'm not satisfied with the methods I've seen :

- Constant-Dollar : I would need to make a huge leap of faith to start withdrawing 4% (or whatever %) of the my portfolio, and index it to inflation every year. (1) This is scary! I would be subject to
*bad*sequence of return risk, and (2) there is a very high probability that I will leave much money unspent (if the*bad*sequence doesn't show up). I might be too old to spend it, once I realize that I have too big a pile of money. - Constant-Percentage : This one does not have as much sequence of return risk (I can still end up with a much lower amount to spend than I expected, if I chose too high a percentage). The problem is that I am, again, quite likely to underspend and leave a lot of money unspent.
- Spend Only the Dividends : I would likely overspend my bonds and underspend my equities, unless, of course, I had a 50/50 portfolio and rebalanced it regularly. Yet, I would still be very likely to leave a lot of money unspent.

Let say I have a portfolio with an expected 3% real return. I want this portfolio to survive 30 years. I have no bequest motive, so I am happy to drawdown 100% of it.

At the start of year 1 of retirement, I withdraw 4.95% of my portfolio (and take the opportunity to rebalance it).

At the start of year 2 of retirement, I withdraw 5.06% of my remaining portfolio (and rebalance it).

At the start of year 3 of retirement, I withdraw 5.17% of my remaining portfolio (and rebalance it).

And so on, until year 30, where I withdraw 100% of my remaining portfolio. (No need to rebalance!)

So, even if the famous bad sequence of return was to happen, I wouldn't run out of money before the end of 30 years. As a bonus, I am sure to have spent it all; there's no risk of having a single dime left for year 31 (unless I died before year 30, of course).

The withdrawn amount varies as an increasing percentage of portfolio balance.

The percentages, above, are computed from a constant-payment 30-year annuity at 3%:

Payment: 0.049533

Balance

Year 1: 1.000000

Year 2: 0.978981 (= (1.000000 – 0.049533) * 1.03)

Year 3: 0.957331 (= ( 0.978981 – 0.049533) * 1.03)

…

Year 30: 0.049533

So, we get:

Year 1: 4.95% (= 0.049533 / 1.000000)

Year 2: 5.06% (= 0.049533 / 0.978981 )

…

Year 30: 100%

Now, I don't know about you, but personally, if I'm not dead at the end of 30 years, I'd like to have some minimal money left. So, as a first improvement, I would cap the

*increasing*percentage at 20% to smooth out the final portfolio decline.

Another improvement is to cap the drawdown. Let say I want to drawdown 75% of my porfolio: I would apply the VPW method on this 75%, and I would only spend the expected return (3%) of the remaining (more precisely: (3/1.03) %, so that the capital can rebuild up). This would add up to:

Year 1: 4.44%

Year 2: 4.51%

Year 3: 4.59%

…

Year 25: 9.72%

Year 26: 9.95%

Year 27: 9.17%

...

Year 30: 7.09 %

…

Year 40: 3.67%

...

Year 50: 3.03%

With the two improvements, the rate increases until year 26. Then the rate starts declining. The “expected remaining balance” slides towards 25% of the original portfolio.

I am sure somebody has probably thought about something similar before. (I was partly inspired by the Canadian Registered Retirement Income Fund (RRIF) minimum withdrawal rules, probably similar to US RMD.)

I have an excel spread sheet to compute the percentages, given 3 inputs:

- expected real return
- number of years
- Drawdown percentage

So, does VPW make sense?