I finally got around to properly playing with testfol.io’s Monte Carlo engine. With the Pro version, I was able to stretch the analysis out to a 40-year horizon and run 5,000 simulations. The underlying dataset only goes back 38 years, which isn’t ideal, but it’s enough to work with.

Here’s what I wanted to know: if you take a diversified portfolio and apply leverage to it, does it actually make retirees better off, or does it just add risk without adding much benefit?

Across every percentile I tested, the safe withdrawal rate (SWR) went up when leverage was applied, even in the worst-case scenario. At the 5th percentile (essentially the “things went about as badly as they could” case), the SWR improved by 71 basis points.

That might sound small. It isn’t. Think about how much ink has been spilled debating whether the classic 4% rule is even reliable anymore. A 71 basis point bump on top of that is roughly an 18% increase in your annual retirement budget. Ask yourself when you last got an 18% raise. That’s the scale we’re talking about here, and it shows up in the worst 5% of outcomes, not just the lucky ones.

And it’s not like this improvement came at the cost of portfolio quality. The Sharpe and Sortino ratios stayed essentially flat. In other words, you’re not paying for that extra withdrawal capacity with meaningfully worse risk-adjusted returns, at least not by these two measures.

Some of the tail outcomes do look alarming at first glance. But context matters a lot here. The single worst scenario for the extra-leveraged portfolio (“Portfolio 2”) had a max drawdown of 30% and a longest drawdown period of about 4.2 years. Both numbers are reasonable and manageable.

If we look at the “worst” numbers in each category, they all come from different paths. The path with the deepest drawdown (51%) must have had a relatively fast recovery. The path with the longest time underwater (18 years) must have gone sideways for a long time. It is only a hypothesis, testfol.io doesn’t allow me to look at each single generated path, but the combination of all the ‘ingredients’ cannot be worse…than the worst scenario.

That distinction matters more than it might seem. An 18-year real drawdown is a genuinely difficult thing to sit through, even if the portfolio never dropped that far below its peak. All of these figures are inflation-adjusted, by the way: in nominal terms, that 18-year drawdown was actually under 8 years.

I bring this up because the psychological side of this can’t be separated from the math. You’re trusting a process while you’re pulling money out of it, and every day you spend underwater is not a stress-free day. You can tell yourself the portfolio will recover eventually, but in the moment you’re never 100% sure. Maybe your trend-following sleeve (I used KMLM as the proxy) has stopped working. Maybe you’re living through another Global Financial Crisis and every voice around you is saying the system is broken for good. Those are legitimate questions to sit with when you’re the one living through the drawdown, not just backtesting it years later.

For what it’s worth, at a 5% inflation-adjusted withdrawal rate, the leveraged portfolio only ran out of money before year 40 in the single worst simulated scenario. The 1st-percentile cohort (i.e., still a bad outcome, just not the worst one) finished the 40-year period with roughly the same amount of money they started with.

IEF vs TLT

One limitation of the main simulation: it excludes the 1970s, because that’s as far back as the KMLM data goes. So I ran a separate, simpler comparison — just global stocks, bonds, and gold — swapping in IEF versus TLT as the bond sleeve, this time with a dataset that includes the ’70s.

The portfolio with IEF has a higher floor. What I did find useful is that swapping TLT for IEF in the original, leveraged portfolio only slightly hurt the results. Given that trade-off, IEF looks like the more responsible choice.

CRRY

Adding CRRY as an additional diversifier made the results look almost silly good. But I want to flag the obvious caveat: the dataset only runs from 2008 to 2026. There simply isn’t a long-history alternative strategy dataset available to check whether that holds up over a longer stretch, so take it with real skepticism.

Optimisation

I then run testfol.io optimisation engine using historical data (I lowered a bit CRRY return and increased its vol):

The goal was to find the portfolio with the highest CAGR at the 5th percentile. Unsurprisingly, I would say, the result was this one:

The candidate portfolio is an unlevered EW of the 5 ingredients:

Honestly, you don’t need to be a statistics genius to see why the optimizer landed there. If your portfolio components are uncorrelated and their returns are roughly normally distributed, leverage becomes a free lunch: mathematically, you come out ahead in almost every scenario. Of course, we all know how shaky those two assumptions get in the real world.

But… even though correlations tend to converge toward 1 during genuine stress events, this portfolio has what they call first and second responders built in. Looking back at past crises, correlations did spike, but there was consistently at least one component moving in the opposite direction while everything else fell apart. Adding a long volatility strategy on top of that should make the whole thing more resilient to exactly this failure mode.

Even though the backtest technically “survives” 3x leverage, I’d treat that more as weak reassurance that 2x is reasonable with some safety margin left over, not as a green light to run it at 3x for real.

If I had to boil this whole exercise down to one sentence: the original safe-withdrawal-rate research was pointed in the right direction, but it probably wasn’t bold enough.

A well-diversified portfolio gets you a long way on its own (say hi to Scott Cederburg, who in his own research treated a 99% drawdown as a “success”). But adding leverage on top of genuine diversification, along with a mix of inflation-reactive assets, appears to do meaningfully better than the standard all-stocks approach. And with newer instruments like MFEH, savers can now dial in the right amount of currency exposure too, rather than taking on FX risk as an unpriced side effect of certain instruments.

None of this is a reason to go max leverage tomorrow. It’s a reason to take the boring, diversified, moderately-levered version of this idea more seriously than it usually gets credit for.

What I am reading now:

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Categories: Retirement

12 Comments

Matteo · July 13, 2026 at 4:57 pm

I am very fascinated by this approach to leverage as a tool for improving the risk-reward ratio, and although I am limited by the instruments available to Italian retail investors, I have tried to replicate something similar in my own way.
The issue I haven’t quite grasped is that, in these simulations, it seems to me that the cost of leverage isn’t factored in, whereas with the commercial brokers available, overnight margin charges can be significant (in the case of Directa, MLFR ECB + 5 per cent, i.e. 7.5 per cent per annum), which ends up eroding my expected returns.
Apart from individual leveraged ETFs already on the market, what options are there for a retail investor in the Eurozone to build a leveraged portfolio?

    TheItalianLeatherSofa · July 14, 2026 at 12:15 pm

    Directa sponsorizza Discacciati, ti dovrebbe dare un’idea della loro serieta’ 🙂 puoi usare…un altro broker 😉 oppure i futures o i box-spread. non sono strategie ‘semplici’ ma non sono impossibili da mettere in piedi. ognuna ha i suoi pro e contro, sicuro bisogna studiare.

      Matteo · July 14, 2026 at 4:43 pm

      Non sapevo chi fosse Discacciati, non penso fosse mai entrato nel mio radar social. Per quanto riguarda Directa, al netto della serietà, per quello che ci faccio ora è sufficiente, ma sicuramente andando avanti a studiare credo che in futuro passerò a broker più “seri”.
      Devo dire che sono sempre stati frenato dall’usare futures o altri strumenti derivati, non avendo una formazione specifica nell’ambito, ma in effetti se sono l’unico strumento a disposizione…

    rodolfo · July 18, 2026 at 5:12 am

    Ti leverage a portfolio you can use credit Lombard that gives 60% leverage with Fineco, at an interest rate of Euribor+ 0,25%

Slim89 · July 14, 2026 at 7:40 am

Super interesting, thanks for the analysis

I still do not understand why nobody write papers on this approach.
The paper on 100% stocks retirement portfolio made a lot of noise, this is by far more interesting and giving additional insights.

    TheItalianLeatherSofa · July 14, 2026 at 12:11 pm

    Markowitz won a Nobel on this, I would not say nobody writes papers 🙂 you can see it maybe as an extension of MPT but the core concept is the same. the “lot of noise” is a different beast, imagine how many ‘investors’ loves dividends. as sound as a concept may be, it is not assured it would be embraced by many (see how Ben Felix doesn’t digest the longest and more robust RP out there, trend)

Marco P · July 14, 2026 at 7:50 am

Leggo sempre con interesse i tuoi articoli (oltre a seguire il podcast). Capisco l’utilità di una leva moderata ma di fatto come si applica su un PTF? Che orizzonte temporale bisogna avere per considerare con un margine di sicurezza una leva 1,5 ? Nell’articolo parli di un backtest su 40 anni ma avendone quasi 44 è un orizzonte temporale troppo lungo per me ormai
Grazie

    TheItalianLeatherSofa · July 14, 2026 at 12:06 pm

    ciao, in realta’ in questo tipo di simulazioni, piu’ corto e’ l’orizzonte, piu’ sei sicuro di ottenere il risultato simulato. i due parametri che devi guardare solo la volatilita’ post leva ed il rapporto tra CAGR e Max Drawdown. riducendo la leva, questi 2 paramentri migliorano ma perdi pure rendimento, quindi devi trovare il compromesso per te tra rischio e quello che poi ti porti a casa. il senso dell’esercizio e’ che pure andando a leva 2, ti ritrovi in una situazione con meno rischio di quelli che sono 100% azioni

Bruno · July 17, 2026 at 3:10 pm

Thanks for this! I’m curious about CRRY, how did you get the backtest dataset?

    TheItalianLeatherSofa · July 18, 2026 at 9:26 am

    BNP has the reconstructed index on their site, then I applied a cost (66bps/year) to align it to CRRY

Claudio · July 19, 2026 at 9:08 am

Mi aggancio alla domanda di Matteo e alla risposta di rodolfo, perché il “come” in Italia cambia completamente il risultato.

1. Il costo del prestito decide tutto. A ECB+5% tipo Directa la leva non conviene mai: quello che guadagni in più te lo mangiano interessi e volatilità, a qualsiasi livello di leva. Sotto lo 0,5% di spread i conti dell’articolo tornano, sopra il 2% si ribaltano. Il Lombard Fineco a Euribor+0,10% esiste davvero, ma occhio: è una promo con condizioni (trasferimento di almeno 20k, scade a settembre), il tasso è variabile e soprattutto il fido è revocabile — la banca può chiudertelo o chiederti rientri proprio quando i mercati crollano. Cioè nel momento esatto in cui ti serve.

2. C’è una cosa che il Monte Carlo non vede: la banca. Le simulazioni assumono che tu resti investito 40 anni, qualunque cosa succeda. Ma con un Lombard, a leva 2x basta un calo del 17% circa per farti arrivare la margin call — e un calo così, con la leva, capita in pratica ogni anno. Risultato: vendi forzatamente sul minimo, e quel drawdown “recuperabile” del backtest diventa una perdita vera e definitiva. A leva 1,2x invece la margin call scatta solo oltre −70%: di fatto mai. La “leva moderata” di cui parla l’articolo non è prudenza generica: è il confine tra un rischio che la simulazione misura e uno che non può misurare.

3. Il fisco italiano rema contro. Gli interessi del Lombard non li deduci e non li compensi, mentre sui guadagni paghi il 26%. Tradotto: il vantaggio netto della leva è circa la metà di quello che vedi nei backtest lordi. Coi futures almeno fai redditi diversi e compensi le minus — un motivo in più per la strada “da studiare” che dice TILS.

Morale per noi retail italiani: leva massimo 1,2x, solo se il prestito costa meno dello 0,5% sopra l’Euribor, e sapendo che al netto di tasse il guadagno è comunque piccolo. Fuori da questi paletti non stai comprando il portafoglio dell’articolo: ne stai comprando la caricatura.

    TheItalianLeatherSofa · July 20, 2026 at 10:52 am

    anche qui con la AI slop?
    non capisco il primo punto: il costo della leva e’ esplicitato nella simulazione, 60bps. va da se che se prendi a prestito a meno i risultati migliorano e se costa di piu’ i risultati peggiorano.
    il punto 2 dipende dalla banca. non so da dove arriva quel 17% ma non e’ cosi’ per tutti (sicuro con IBKR non vai in margin call).

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