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TPAW Planner - an interesting online drawdown simulator
Neminem Laedit
Posted: 08 January 2025 11:37:25(UTC)
#81

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The excellent Eric Amzalag, CFP, RICP tells some refreshing truths about traditional financial "advice"...

https://youtu.be/jR5cynx2_aw?si=rm0s4PPs7F2zs6l1

He touches on the same ideas about risk, loss aversion, position sizing, and variable withdrawals, as Merton and TPAW do.

The ratchet system he recommends is inferior, but is certainly a step in the right direction, beyond 'simple' SWR.
1 user thanked Neminem Laedit for this post.
Jay P on 08/01/2025(UTC)
Neminem Laedit
Posted: 09 January 2025 13:50:29(UTC)
#82

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A recent article giving an overview from Ben Mathew.

https://www.whitecoatinv...s-safe-withdrawal-rates/
2 users thanked Neminem Laedit for this post.
Joe 90 on 09/01/2025(UTC), Blunt Instrument on 18/01/2025(UTC)
Joe 90
Posted: 10 January 2025 07:32:17(UTC)
#83

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Neminem Laedit;330572 wrote:
A recent article giving an overview from Ben Mathew.

https://www.whitecoatinv...s-safe-withdrawal-rates/

This is an excellent article, thanks for posting.

I have recently used the tool to adjust my withdrawal trajectory, allowing higher spending in the first 10 years of retirement, and it has made a significant difference. I'm off to the Caribbean tomorrow!
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Neminem Laedit on 10/01/2025(UTC)
Neminem Laedit
Posted: 10 January 2025 11:16:39(UTC)
#84

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Joe 90;330654 wrote:
I'm off to the Caribbean tomorrow!


I can't think of a better endorsement of TPAW.

Enjoy !
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Jay P on 10/01/2025(UTC)
Neminem Laedit
Posted: 10 January 2025 12:04:34(UTC)
#85

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It's interesting that the Merton share in TPAW is directly related to the Kelly fraction used in betting.
https://en.wikipedia.org/wiki/Kelly_criterion

Mathematically, it's the investment equivalent.

The Merton share also introduces the idea of Utility.

A common way to measure Utility is by the metric CRRA (Constant Relative Risk Aversion), which empirical experiments indicate is how most people behave when faced with uncertainty.

Most people have a CRRA of around 2 or 3.

A CRRA of 1 equates to a Full-Kelly bettor.
A CRRA of 2 equates to Half-Kelly, etc.

If we plug stocks excess real return and volatility into the Merton equation for a person with average CRRA,

Say 5% excess real return for stocks
Say 18% volatility (standard deviation) for stocks
Say 2.5 CRRA

We get a Merton share of

5% / (18%^2 * 2.5) = 61.7% allocation to stocks, which is very close to the classic 60/40 allocation.

But that would only apply if the investor only had their investment portfolio to sustain them.

Add in SP, DB etc., and they are treated as coming from bonds, so the stock allocation to the savings portfolio will rise, without altering the Total Portfolio risk.

This is just one of the sophisticated insights of TPAW and the Lifecycle Model.

It's all based around the concept of Utility. (for a retiree, that's not "wealth" but spending[which may include legacy])

Ultimately, the Utility for you is the shape of your spending graph as produced by TPAW.

The input numbers, e.g. CRRA, expected returns, spending tilts, etc. are all just means to an end to optimise that Utility, and you don't really need to understand the math.

Just understand the graph - which you yourself have created - and you're good to go...
4 users thanked Neminem Laedit for this post.
Jay P on 10/01/2025(UTC), Guest on 10/01/2025(UTC), AlanT on 10/01/2025(UTC), Guest on 11/01/2025(UTC)
Joe 90
Posted: 11 January 2025 17:25:19(UTC)
#86

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With reference to my earlier post, I’ve amended my approach so that instead of setting a “legacy” I’ve set a one-off extra spend of £500k for my 80th birthday. This brings the suggested equity allocation down to zero towards that date, which makes sense. The “legacy” approach does the opposite on the assumption that in investing to create a legacy, a higher risk is appropriate.

One thing I don’t quite understand about the TPAW tool: It seems to overstate risk profile. Even a 35% equity allocation is classified as “aggressive”. Furthermore, dialling a high bond allocation produces higher returns which seems counterintuitive.

Grateful for any guidance.

Greetings from QMII just setting sail from Southampton.
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Jay P on 11/01/2025(UTC), Guest on 11/01/2025(UTC), Neminem Laedit on 11/01/2025(UTC)
Neminem Laedit
Posted: 11 January 2025 20:27:24(UTC)
#87

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Joe 90;330821 wrote:

One thing I don’t quite understand about the TPAW tool: It seems to overstate risk profile. Even a 35% equity allocation is classified as “aggressive”. Furthermore, dialling a high bond allocation produces higher returns which seems counterintuitive.

Grateful for any guidance.


Without seeing your plan, it's hard to judge fully.

However, if you look under Risk>Risk Tolerance>Relative Risk aversion (RRA) corresponding...

we find that "aggressive" starts at slider value 15, which corresponds to a RRA of 1.94. (note: if you have set Decrease Risk Tolerance with Age > 0 the RRA today will be higher, leading to a lower stock allocation from the Merton equation example below.)

Furthermore, if you are using the recommended "regression prediction" for returns, the equity risk premium has narrowed recently to just 2.6% (5.1%-2.5%). Bonds have picked up; it's not that stocks have fallen.

Plugging these numbers into our Merton equation we have:-

2.6%/(18%^2 * 1.94), which gives us a 41% stock allocation.

So, in current conditions, 41% may be deemed "aggressive". (These are just arbitrary words given to different points on the sliding scale, and shouldn't really become the overriding guide in planning)

However, there are several other factors which TPAW takes account of, which may alter that idealised - savings portfolio only - 41% number...
i) If you have specified any essential expenses. This will lower the stock AA.
ii) whether you have any guaranteed income streams. This will raise the stock AA.
iii) other stuff I've probably forgotten/don't fully understand... The maths behind TPAW is complex and the results are sometimes counter-intuitive.

But, as Ben Mathew says, you don't really need to get hung-up on all the math, and the why's and wherefore's, although I get that it may be natural for people to try to understand it.

He and his brother have produced something game-changing, which frankly renders moot about 50% of the topics on sites such as this...

Your spending graph is the only thing that matters. The math and the sliders, etc. are just cogs and dials to create the best picture. The picture says it all...

I remember Ben dealing with an example where, in some cases, more bonds produced higher withdrawals, but haven't found the example yet. (It may produce higher withdrawals, not sure about higher "returns").

Enjoy your trip !
2 users thanked Neminem Laedit for this post.
Guest on 12/01/2025(UTC), Guest on 12/01/2025(UTC)
Joe 90
Posted: 12 January 2025 06:53:59(UTC)
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Neminem Laedit;330832 wrote:
Joe 90;330821 wrote:

One thing I don’t quite understand about the TPAW tool: It seems to overstate risk profile. Even a 35% equity allocation is classified as “aggressive”. Furthermore, dialling a high bond allocation produces higher returns which seems counterintuitive.

Grateful for any guidance.


Without seeing your plan, it's hard to judge fully.

However, if you look under Risk>Risk Tolerance>Relative Risk aversion (RRA) corresponding...

we find that "aggressive" starts at slider value 15, which corresponds to a RRA of 1.94.

Furthermore, if you are using the recommended "regression prediction" for returns, the equity risk premium has narrowed recently to just 2.6% (5.1%-2.5%). Bonds have picked up; it's not that stocks have fallen.

Plugging these numbers into our Merton equation we have:-

2.6%/(18%^2 * 1.94), which gives us a 41% stock allocation.

So, in current conditions, 41% may be deemed "aggressive". (These are just arbitrary words given to different points on the sliding scale, and shouldn't really be the overriding guide in planning)

However, there are several other factors which TPAW takes account of, which may alter that idealised - savings portfolio only - 41% number...
i) If you have specified any essential expenses. This will lower the stock AA.
ii) whether you have any guaranteed income streams. This will raise the stock AA.
iii) other stuff I've probably forgotten/don't fully understand... The maths behind TPAW is complex and the results are sometimes counter-intuitive.

But, as Ben Mathew says, you don't really need to get hung-up on all the math, and the why's and wherefore's, although I get that it may be natural to try to understand it.

He and his brother have produced something game-changing, which frankly renders moot about 50% of the topics on sites such as this...

Your spending graph is the only thing that matters. The math and the sliders, etc. are just cogs and dials to create the best picture. The picture says it all...

I remember Ben dealing with an example where, in some cases, more bonds produced higher withdrawals, but haven't found the example yet. (It may produce higher withdrawals, not sure about higher "returns").

Enjoy your trip !

Thank you. I addressed Ben on this point on the White Coat Investor site. This is his response, which I have applied, and (no surprise) it solves the problem!

“You can change the risk tolerance for legacy in Risk -> Advanced -> Increase Risk Tolerance for Legacy. If you move that slider to 0, then legacy will have the same asset allocation as general spending.

The risk tolerance labels of “conservative”, “moderate” and “aggressive” refers only to the risk portfolio and does not reflect essential expenses which get funded by 100% bonds. In other words, if you have categorized a lot of expenses as essential and funded them by 100% bonds, thereby creating a floor for those expenses, then even an “aggressive” allocation on the remaining risk portfolio would not be aggressive in terms of spending. The risk to spending is what is shown in the spending graph. Adjust the risk tolerance slider to arrive at the spending graph you like the most. If that aligns with your preferences, you don’t need to worry about the “conservative” vs “moderate” vs “aggressive” labeling on the slider.“
3 users thanked Joe 90 for this post.
Neminem Laedit on 12/01/2025(UTC), Guest on 12/01/2025(UTC), Guest on 12/01/2025(UTC)
Neminem Laedit
Posted: 13 January 2025 16:15:20(UTC)
#88

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Neminem Laedit;330832 wrote:


(note: if you have set Decrease Risk Tolerance with Age > 0 the RRA today will be higher, leading to a lower stock allocation from the Merton equation...)



To explain more fully:

The Risk Tolerance you select is actually your risk tolerance at age 20.

If you set Decrease Risk Tolerance with Age to 0, that means you maintain the same risk tolerance as your 20 year-old self throughout life.

The default setting is 2, meaning that your risk tolerance decreases through life by a small amount. In other words, your RRA (relative risk aversion) increases.

It follows that your actual risk tolerance at the start of your plan will depend on your age at the start of the plan, and decreases throughout the plan. (increasing RRA)

I suppose you have to ask yourself "How risk tolerant was I when I was aged 20?" and that is the value to enter in the slider. A bit weird, but I guess Ben Mathew has sound reasons for this approach.

Another reason why descriptions "moderate", "aggressive", etc. are generalisations, and shouldn't be fixated upon.

The knobs and dials (whatever the complex maths behind them) just change the spending picture.

Your picture is your plan.
2 users thanked Neminem Laedit for this post.
GARRY TAYLOR on 13/01/2025(UTC), Joe 90 on 13/01/2025(UTC)
Neminem Laedit
Posted: 14 January 2025 10:06:09(UTC)
#89

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Neminem Laedit;330993 wrote:
Neminem Laedit;330832 wrote:


(note: if you have set Decrease Risk Tolerance with Age > 0 the RRA today will be higher, leading to a lower stock allocation from the Merton equation...)



The default setting is 2, meaning that your risk tolerance decreases through life by a small amount. In other words, your RRA (relative risk aversion) increases.

It follows that your actual risk tolerance at the start of your plan will depend on your age at the start of the plan, and decreases throughout the plan. (increasing RRA)


You can find what your actual risk tolerance is today, and the associated RRA, by viewing the table under

Risk>Advanced>Decrease Risk Tolerance With Age>Risk Tolerance Table

So by moving the slider you could calibrate the model to accord with your personal, gut-feeling RRA of today, and/or the RRA you imagine you would have at the end of life.

For example:

This is a table of your risk tolerances at key ages:

Your Age........ Risk Tolerance...... Relative Risk Aversion (RRA)
At Age 20...............22.0...............................0.68
Now........................14.7...............................2.04
Retirement.............14.6...............................2.07
Max Age...................9.0...............................4.79

An RRA < 1 implies risk-seeking behaviour. Who wasn't that aged 20 ? Lol...

(I think Ben starts it at age 20 because the planner has also to be useable for Accumulators)
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