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02afd2 Viraj Alankar 2025-06-14 05:33:48
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# Investing with leverage
65ec75 Viraj Alankar 2025-06-09 17:38:58
Initial
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02afd2 Viraj Alankar 2025-06-14 05:33:48
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General investing advice and information with a focus towards using leverage.
86c301 Viraj Alankar 2025-06-09 17:53:38
Some new text
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## Basics
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13abe3 Viraj Alankar 2025-11-27 00:47:51
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I recommend the [Bogleheads](https://www.bogleheads.org/wiki/Main_Page) theory of investing. This involves investing in a few ETFs or mutual funds as a diversified portfolio. For example, a [3 fund portfolio](https://www.bogleheads.org/wiki/Three-fund_portfolio). I use [Schwab funds](https://www.bogleheads.org/wiki/Charles_Schwab), but any with low expense ratios will suffice. This is a set and forget strategy that requires very little work.
86c301 Viraj Alankar 2025-06-09 17:53:38
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0dfd77 Viraj Alankar 2025-06-09 18:04:57
More
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An important piece is figuring out your [asset allocation](https://www.bogleheads.org/wiki/Asset_allocation) for each fund. The simplest setup is just use a [target date fund](https://www.bogleheads.org/wiki/Target_date_funds), picking your expected retirement year. [SWYGX](https://www.schwabassetmanagement.com/resource/swygx-fact-sheet) is one such Schwab fund with a target retirement date of 2040.
53f8b0 Viraj Alankar 2025-06-09 18:00:56
TDFs
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0dfd77 Viraj Alankar 2025-06-09 18:04:57
More
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TDFs follow a [glide path](https://www.bogleheads.org/wiki/Glide_paths) that generally invests in stocks when you are young (higher risk), and moves towards bonds as you get older (less risk). You can push the target year later than your normal retirement year if you are comfortable with more risk for a longer time.
86c301 Viraj Alankar 2025-06-09 17:53:38
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ff217f Viraj Alankar 2025-06-09 18:15:55
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Target date funds are not a good idea for a taxable brokerage account. They are mainly only good for a 401k or IRA accounts for tax reasons. See [this thread](https://www.bogleheads.org/forum/viewtopic.php?t=408592) and [this SEC filing](https://www.sec.gov/newsroom/press-releases/2025-21) for why.
53f8b0 Viraj Alankar 2025-06-09 18:00:56
TDFs
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80f65e Viraj Alankar 2026-01-04 07:45:41
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This brings up an important question: are there TDF-like funds that can be used in a taxable account? Yes, [iShares](https://www.ishares.com/us/strategies/what-is-a-target-date-fund) has some. [This reddit thread](https://www.reddit.com/r/Bogleheads/comments/1jc8h03/why_vanguard_does_not_offer_a_single_etf_that/) has some good pointers. Another alternative is a balanced fund that does not adjust over time such as [AOR](https://www.ishares.com/us/products/239756/ishares-growth-allocation-etf) or [AOM](https://www.ishares.com/us/products/239765/ishares-moderate-allocation-etf). More info in this [Bogleheads video](https://youtu.be/TYLWfC4fijo?si=zWy5V13Dg_Ft9gIx).
0dfd77 Viraj Alankar 2025-06-09 18:04:57
More
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68eee0 Viraj Alankar 2026-05-03 15:43:07
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The book [The Simple Path to Wealth](https://www.amazon.com/Simple-Path-Wealth-Revised-Expanded-ebook/dp/B0DT7CM52P) is great and describes an even simpler way by just investing in one total market fund (VTSAX). In most cases this is all people need to do basic investing with reasonable return. [This interview with Ben Felix](https://youtu.be/jLFG_FZKbks?si=c-GDAvhkr3Rx3caA) is a great video for investing basics.
ff217f Viraj Alankar 2025-06-09 18:15:55
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3b5b26 Viraj Alankar 2025-06-10 11:41:47
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## Diversifying further
d3c79c Viraj Alankar 2025-06-09 20:37:05
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8cedf1 Viraj Alankar 2026-06-03 00:52:04
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### Commodities
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6590ef Viraj Alankar 2026-02-02 12:05:27
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Though the above combination of stocks and bonds is perfectly reasonable, I like to diversify further into a few other categories. Mainly I add the following, either in ETFs, options, futures, or physical assets where applicable. The options columns in the tables below have higher option liquidity, however their expense ratios might be higher for buy and hold.
d3c79c Viraj Alankar 2025-06-09 20:37:05
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a47f6b Viraj Alankar 2026-02-02 14:55:02
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| Category | ETFs | Options | Futures | Physical |
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| -------------- | --------------------- | -------------- | --------- | ------------------------------------------- |
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| Gold | GLDM, IAU, IAUM, SGOL | GLD, IAU, SGOL | /GC, /MGC | [Bullionstar](https://www.bullionstar.com/) |
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| Silver | SIVR | SIVR, SLV | /SI, /SIL | [Bullionstar](https://www.bullionstar.com/) |
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| Cryptocurrency | IBIT, MSTR | IBIT, MSTR | /MBT | [Ledger](https://www.ledger.com/) |
d3c79c Viraj Alankar 2025-06-09 20:37:05
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aa6602 Viraj Alankar 2026-02-16 11:37:58
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These in sum do not exceed about 8% of my portfolio. I reduce my bonds allocation by 8% to make room for these. The reasoning is to keep some investments non-correlated with stocks/bonds. [Portfolio Visualizer](https://www.portfoliovisualizer.com/asset-correlations) can be used to investigate correlations.
3f7bc0 Viraj Alankar 2025-06-09 20:39:53
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8cedf1 Viraj Alankar 2026-06-03 00:52:04
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### ETFs, options, futures, and indexes
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d968b1 Viraj Alankar 2026-03-26 11:45:40
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Schwab ETFs do not have much option liquidity. For such cases, I might use different ETFs or futures to represent the same category. Sometimes it is also cheaper to purchase ETFs with a higher price due to trading fees being based on number of shares. I also may use mutual funds if I don't plan to do much active trading. Index options are also sometimes preferable due to European settlement (i.e. cannot be exercised early). Some equivalents:
b08577 Viraj Alankar 2025-06-10 05:00:12
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038dfe Viraj Alankar 2025-06-10 11:32:26
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38002e Viraj Alankar 2026-03-26 11:42:25
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| Category | ETFs/funds | Options | Indexes | Futures |
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| ----------------------- | ------------------------------------------- | ------------- | -------- | ---------------------------------------------------------------------------------------- |
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| US Total Market | SCHB, VTI, SWTSX, VTSAX | | | |
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| US Large Cap | SCHX, SPY, SPYM, VOO, VV | SPY, SPYM | SPX, XSP | /MES, /ES |
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| US Small Cap | SCHA, VB, IWM | IWM | | /M2K, /RTY |
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| US Bonds | BND, IEF, SCHO, SCHR, SCHZ, SWAGX, TLH, TLT | IEF, TLH, TLT | | /MTN, /ZN, /10Y ([inversely correlated](#representing-bonds-with-futures)) |
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| International Developed | SCHF, SWISX, EFA, VEA | EFA | | /MFS ([MXEA](https://www.ice.com/products/31196848/MSCI-EAFE-Index-Future)) |
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| International Emerging | SCHE, EEM, VWO | EEM | | /MME ([MXEF](https://www.ice.com/products/31196851/MSCI-Emerging-Markets-Index-Futures)) |
b08577 Viraj Alankar 2025-06-10 05:00:12
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8cedf1 Viraj Alankar 2026-06-03 00:52:04
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### Managed futures
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1c52cc Viraj Alankar 2026-06-03 13:03:53
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Managed futures ETFs have been proposed as an alternative to bonds in a portfolio because bonds sometimes correlate highly with equities. Managed futures are also referred to as [CTAs](https://en.wikipedia.org/wiki/Commodity_trading_advisor) (Commodity Trading Advisor). They mimic hedge funds (i.e. hedge fund replicators). They attempt trend following with derivatives, and may provide a good negative correlation with equities, reduce volatility, and generate higher return. [Here](https://testfol.io/?s=0vkpeDtG6iQ) and [here](https://testfol.io/?s=4JxBbB5TRL2) are backtests comparing a 60/40 (equities/bonds) portfolio with various mixtures of managed futures ETFs. Reducing the typical bonds allocation by half, and using the other half in managed futures might be a good strategy.
8cedf1 Viraj Alankar 2026-06-03 00:52:04
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43849b Viraj Alankar 2026-06-03 01:00:01
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Popular managed futures ETFs:
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* [DBMF](https://www.imgp.com/us/fund/US53700T8273-imgp-dbi-managed-futures-strategy-etf/)
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* [KMLM](https://kraneshares.com/etf/kmlm/)
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* [CTA](https://www.simplify.us/etfs/cta-simplify-managed-futures-strategy-etf)
8cedf1 Viraj Alankar 2026-06-03 00:52:04
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4370a1 Viraj Alankar 2026-06-03 01:18:40
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Articles:
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* [Was 60/40 a Big Head Fake? Some charts from DBi](https://dbi.co/was-60-40-a-big-head-fake-some-charts-from-dbi/)
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Videos:
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* [ETF Edge on the mechanics of managed futures](https://youtu.be/Uyxk3leyw5M?si=WOaadUAqB28gs6Fv)
4673fd Viraj Alankar 2026-06-03 01:09:14
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* [How DBMF Replicates Top Hedge Fund Managers | Andrew Beer, iMGP](https://youtu.be/1e42uZpnq4k?si=SpwXi1ELlvMCLbP5)
8cedf1 Viraj Alankar 2026-06-03 00:52:04
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### Typical allocation
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480a37 Viraj Alankar 2026-01-10 12:03:12
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Here is an example of my allocation as of January 2026:
2a6755 Viraj Alankar 2025-06-10 08:22:11
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![](./allocation.png)
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6e7018 Viraj Alankar 2025-06-09 19:18:40
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## Holding cash
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de8f81 Viraj Alankar 2025-06-14 05:38:09
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Banks and brokerages give little in return for holding your cash. A HYSA will give you better return, but sometimes suffer from bad checking account features. For example, Wealthfront has very bad check-writing abilities.
6e7018 Viraj Alankar 2025-06-09 19:18:40
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e40d88 Viraj Alankar 2025-06-24 17:19:10
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Excess cash in your brokerage should be put into a money market fund. For example, at Schwab you can use [SWVXX](https://www.schwabassetmanagement.com/products/swvxx). The key point is many brokerages won't automatically sweep to this for you, so it requires you to do trades. SGOV and BIL are other good ETFs for this. You can find good money market funds at [Yieldfinder](https://yieldfinder.app/money_markets).
6e7018 Viraj Alankar 2025-06-09 19:18:40
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8b29aa Viraj Alankar 2025-11-27 00:49:56
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If you don't do this yourself, your brokerage will love your idle cash sitting around which they will use to invest and earn them, and not you, money. I do not hold much cash because inflation quickly eats into its value. I'd rather put that money to better use.
6e7018 Viraj Alankar 2025-06-09 19:18:40
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25fb94 Viraj Alankar 2026-04-15 07:08:06
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If attempting to use SWVXX as a backing for Cash Secured Puts, see [[SWVXX and Cash Secured Puts|Finance/Investing/SWVXX and Cash Secured Puts]].
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9a8eed Viraj Alankar 2025-08-03 14:04:36
Add rebalancing info.
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## Rebalancing
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8b29aa Viraj Alankar 2025-11-27 00:49:56
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Occasional portfolio rebalancing is necessary unless you are only invested in an automatic glide path fund. I just contribute funds to the deficient allocation category. If it requires a much higher amount than the funds available, utilizing leverage can get me to a balanced portfolio quicker.
9a8eed Viraj Alankar 2025-08-03 14:04:36
Add rebalancing info.
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8e2f8f Viraj Alankar 2025-12-04 22:23:36
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The paper [Rebalance your portfolio without selling](https://arxiv.org/pdf/2305.12274) describes some more ways to optimize rebalancing.
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2ef91c Viraj Alankar 2025-12-04 22:33:27
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By utilizing derivatives when rebalancing, I can turn a buy into a sell and vice versa. The notional values of long or short derivatives can simulate a reduction or an increase in that asset class. As an example, let's say I need to sell $4000 of large cap to rebalance. Instead of selling that stock, I can buy a put, which will have a negative notional value. Say SPYM is trading at 80. A .50 delta PUT 200 days out might cost $400. By buying that, I've created a negative notional value that can be added to my large cap balance:
8e2f8f Viraj Alankar 2025-12-04 22:23:36
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```math
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\text{Notional Value} = 80 \times 100 \times .50 \times -1 = -4000
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```
9a8eed Viraj Alankar 2025-08-03 14:04:36
Add rebalancing info.
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1c6637 Viraj Alankar 2025-12-04 22:43:44
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If I needed to sell $8000, I could by 2 of these. What if I wanted to spend less? I could create a synthetic short: sell a call, and buy a put (essentially funding it with the sold call), at strike price 80. For larger sums, I might use SPY or futures.
2ef91c Viraj Alankar 2025-12-04 22:33:27
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As another example, let's say I need to buy $4000 of large cap to rebalance. Instead of buying that stock, I can sell a put, which will have a positive notional value. Similar to above:
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```math
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\text{Notional Value} = 80 \times 100 \times .50 = 4000
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```
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Instead of spending money on a buy, I am actually receiving money by selling the put. Once you understand derivatives as building blocks, you can convert transactions to/from buy/sell easily.
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6e7018 Viraj Alankar 2025-06-09 19:18:40
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## Efficient use of capital
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4d1f4c Viraj Alankar 2025-06-09 19:52:42
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One of the most important things I've come to realize is that you have to make efficient use of your capital. Tom Sosnoff and Tastytrade have some good videos on this:
bd3dcf Viraj Alankar 2025-06-09 19:52:08
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- [Tom Sosnoff a Strategic Finance for the Practical Investor](https://youtu.be/wY7EKujslFg?si=MQeU3-Q90YsCCv5c)
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- [6 Steps To Build An Options Portfolio From Scratch](https://youtu.be/0qyF-edVI3c?si=O6uaEiERu2KdmNA_)
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- [Breaking Down Futures with Tom Sosnoff](https://www.youtube.com/watch?v=VZ-jetr4Mww)
6e7018 Viraj Alankar 2025-06-09 19:18:40
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919064 Viraj Alankar 2025-06-09 19:59:40
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The main question to ask yourself is are you using your capital the best way possible? In many cases your brokerage is giving you access to tools and methods to make better use of that capital. They will not tell you all of these methods, which one is best, or hold your hand through the process, unless you pay them.
930111 Viraj Alankar 2025-06-09 19:43:13
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91755f Viraj Alankar 2025-06-10 06:55:30
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### Capital efficiency example
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Let's say you wanted to invest in the S&P 500 in a buy and hold fashion. The following are some examples and costs associated:
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bea9cb Viraj Alankar 2025-06-23 09:34:09
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| Instrument | Cost | Exposure | Leverage |
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| ------------------------------------------------- | --------------- | -------- | -------- |
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| 50 shares SPY @ $590 | $30k | $30k | 1x |
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| 50 shares SPY @ $590 + 25 shares with margin loan | $30k + interest | $45k | 1.5x |
fdb020 Viraj Alankar 2026-05-30 16:31:48
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| $15k of SSO (2x leveraged ETF) | $15k | $30k | 2x |
bea9cb Viraj Alankar 2025-06-23 09:34:09
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| 1 90-delta DITM LEAPS SPY call | $20k | $40k | 2x |
fdb020 Viraj Alankar 2026-05-30 16:31:48
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| $10k of UPRO (3x leveraged ETF) | $10k | $30k | 3x |
bea9cb Viraj Alankar 2025-06-23 09:34:09
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| 1 synthetic LEAPS in SPY (long call, short put) | $2k | $60k | 30x |
8f1bb3 Viraj Alankar 2025-06-23 14:38:07
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| 1 ZEBRA LEAPS in SPY (2 long calls, 1 short call) | $14k | $50k | 3.5x |
bea9cb Viraj Alankar 2025-06-23 09:34:09
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| 1 /MES future | $2k | $30k | 15x |
91755f Viraj Alankar 2025-06-10 06:55:30
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d0e359 Viraj Alankar 2025-06-14 11:17:19
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In all cases but the first, you are paying less to have a higher exposure in the same market. Each has a different risk profile, generally increasing with leverage. In all cases you can lose money.
eadaf7 Viraj Alankar 2025-06-10 07:11:43
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a57c92 Viraj Alankar 2026-05-30 16:33:46
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Not all cases involve actually owning shares. For derivatives, it is not too important whether you end up with shares or not, as the P/L will be similar to owning the exposed amount. They also have expirations, but you can continually roll them to future dates to simulate a buy and hold.
91755f Viraj Alankar 2025-06-10 06:55:30
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6d0058 Viraj Alankar 2025-10-14 10:02:14
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## General investing goal
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I take the idea of having an diversified portfolio and just add leverage to it. In other words, I keep the same desired percentages of each category, and use the notional value of derivatives to represent to amount invested in that category. The diversified portfolio I follow is a target date fund, such as [SWYGX](https://www.schwabassetmanagement.com/resource/swygx-fact-sheet). As these percentages change over time, I do rebalancing taking into account the leverage I'm using.
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4a0159 Viraj Alankar 2025-12-04 22:38:43
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This method of using leverage is also referred to as "return stacking", and there are some [ETFs](https://www.returnstacked.com/) that also try to do this for you.
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cf4041 Viraj Alankar 2025-06-10 05:06:48
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## Leverage
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53660a Viraj Alankar 2025-06-14 05:24:51
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Adding leverage increases your risk, but increased risk is one way to possibly gain better returns. There are many ways to gain leverage, from using loans, to options, to futures.
f0bee1 Viraj Alankar 2025-06-09 18:47:34
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52fa66 Viraj Alankar 2025-10-14 10:05:08
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A fundamental question is how much leverage you want to use. Brokerages make it all too easy to over-leverage. I usually use a leverage ratio between 1.5 - 2.5. For example, if I have $100k cash, I may use that to invest a notional value of $150k in a diversified portfolio. A typical hedge fund might use a leverage ratio up to 5, so this is not exceedingly risky.
d54824 Viraj Alankar 2025-06-11 05:43:26
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b4ff91 Viraj Alankar 2025-07-08 10:10:57
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People use leverage all of the time for home loans, and it is not unheard of to use a 80% loan to value ratio for a mortgage, or a leverage ratio of 5. For a $500k home, you might put up $100k cash and take a $400k loan. You would likely do this at a reasonable interest rate, and your hope is the value of the home goes up faster than your interest charges. Your home value could fall, leaving you with a mortgage that is underwater, i.e. you owe more than the home is actually worth. You could also lose your home in a disaster. All of this can apply to investing as well.
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852857 Viraj Alankar 2025-10-14 10:06:49
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A typical company might use a loan to ultimately produce something worth more than that loan, in a sense making a leveraged bet. You could argue companies would not exist without such leverage. Even credit card debt can be considered a form of very expensive leverage. If you acknowledge leveraging exists throughout the economy, then why not use it to your advantage in your personal finances as well?
a2bdc0 Viraj Alankar 2025-06-09 18:34:40
leverage
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4e7b37 Viraj Alankar 2025-06-14 05:40:00
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The following book provides a good argument for using leverage. The general idea is use high leverage when young and reduce that leverage towards retirement:
c57b18 Viraj Alankar 2025-06-12 06:39:23
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- [Lifecycle Investing: A New, Safe, and Audacious Way to Improve the Performance of Your Retirement Portfolio](https://www.amazon.com/dp/B003N44KOM/)
b9133c Viraj Alankar 2025-06-14 10:25:59
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- [Website](https://lifecycleinvesting.net/index.html)
c57b18 Viraj Alankar 2025-06-12 06:39:23
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8f61c9 Viraj Alankar 2025-11-27 00:31:42
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[This paper on risk parity](https://www.aqr.com/-/media/AQR/Documents/Insights/Perspectives/Risk-Parity-Why-We-Lever.pdf) generally describes how I use leverage.
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Other forum threads:
5dca3c Viraj Alankar 2025-06-12 08:48:08
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- [Lifecycle Investing - Leveraging when young](https://www.bogleheads.org/forum/viewtopic.php?t=274390)
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126ada Viraj Alankar 2025-06-14 05:45:53
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### Targets
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fe57cd Viraj Alankar 2025-06-14 05:46:39
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When investing the extra cash that comes from leverage, it should be towards your desired asset allocation. That allocation should be a diversified portfolio (e.g. the Bogleheads portfolio). For example, if your current allocation is deficient in US large cap, you can use the cash from leverage to increase that particular allocation.
126ada Viraj Alankar 2025-06-14 05:45:53
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b376f5 Viraj Alankar 2025-06-13 10:02:52
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### Definition
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We'll use the following for the definition of leverage ratio:
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```math
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\text{Leverage Ratio} = \frac{\text{Notional Exposure}}{\text{Portfolio Equity}}
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```
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Notional Exposure includes:
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- Total value of all equities
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- Options notional exposure
327355 Viraj Alankar 2026-04-23 12:51:39
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- Exclude box spread loans as these should be treated like a margin loan and part of negative option value below
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- Futures notional exposure
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Portfolio Equity includes:
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- Total value of all equities
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- Options value
d086ab Viraj Alankar 2026-01-19 08:11:19
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- Positive for long, negative for short
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- Cash
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- Margin balance (negative)
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- Futures margin requirement (negative)
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- Futures profit (positive) or loss (negative)
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Suppose I have $130k in equities. I borrowed $30k as a margin loan for that position. My leverage ratio comes out to:
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```math
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\text{Leverage Ratio} = \frac{130000}{130000 - 30000} = 1.3
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```
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a9aca2 Viraj Alankar 2025-06-13 13:01:07
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#### Notional exposure vs value
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##### Options
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b30100 Viraj Alankar 2025-10-27 08:08:45
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The numerator of the leverage ratio should include the notional exposure of options. There are different ways of calculating this. A simple way is to use the delta notional exposure (also referred to as delta dollars):
a9aca2 Viraj Alankar 2025-06-13 13:01:07
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```math
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\text{Delta Notional Exposure} = \text{Delta} \times \text{Strike} \times \text{Contracts} \times \text{Multiplier}
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```
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af555c Viraj Alankar 2025-06-13 14:35:10
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The denominator should include only the market value of the option contract itself.
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##### Futures
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9c18ec Viraj Alankar 2025-06-23 09:57:14
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The numerator of the leverage ratio should include the notional exposure of futures. This is different depending on the contract type. For indexes it is usually:
7c132e Viraj Alankar 2025-06-13 13:07:26
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```math
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\text{Future Notional Exposure} = \text{Index Price} \times \text{Multiplier}
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```
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acba2f Viraj Alankar 2026-01-19 08:13:26
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Futures do not cost anything, however I include the margin requirement in the denominator, as well as any gain or loss of the futures position.
a9aca2 Viraj Alankar 2025-06-13 13:01:07
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ad5092 Viraj Alankar 2026-05-30 16:41:21
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### Leveraged ETFs
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A simple way to have leverage is buying a leveraged ETF. These might have high expense ratios, but may be worth it if you prefer less involvement. [SSO](https://www.proshares.com/our-etfs/leveraged-and-inverse/sso) is a an S&P500 2x leveraged ETF, and [UPRO](https://www.proshares.com/our-etfs/leveraged-and-inverse/upro) is 3x leveraged. You can generally find ETFs for any asset class. See the ones available from [ProShares](https://www.proshares.com/).
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[This backtest](https://testfol.io/?s=dNsKlIX9Hh8) shows how they perform relative to the index. The [LETFs subreddit](https://www.reddit.com/r/LETFs/) has discussion on these.
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60e916 Viraj Alankar 2026-05-30 16:52:19
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Suppose you have $100k and want to leverage to 1.5 into the S&P500. You can buy $50k of SPY or equivalent, and $50k of SSO. That would give you notional exposure of $150k.
223
727135 Viraj Alankar 2026-05-30 17:05:50
224
The following formula can be used to figure out how much to invest in each based on your desired leverage:
60e916 Viraj Alankar 2026-05-30 16:52:19
225
db0b97 Viraj Alankar 2026-05-30 17:10:42
226
```math
227
W = \text{your capital}
228
L = \text{desired leverage (e.g. 1.5)}
727135 Viraj Alankar 2026-05-30 17:05:50
229
SPY = (2 - L)W
230
SSO = (L - 1)W
db0b97 Viraj Alankar 2026-05-30 17:10:42
231
```
232
0ed19b Viraj Alankar 2025-06-09 19:54:11
233
### Margin loan
ff217f Viraj Alankar 2025-06-09 18:15:55
234
86aabd Viraj Alankar 2025-06-10 14:10:34
235
When you have stocks, brokers will let you take a margin loan of at least 50% or more of your equity value. This gives you at least 1.5 leverage, at the cost of margin loan interest, which is usually terrible at most brokerages. For example, Schwab will charge you 13% interest as of today (June 2025). If you cannot make more than 13% on the investments you do with leverage, you won't even break even. Interactive Brokers will give you a much better rate, for example 5%. This is an easier number to beat on investment return.
236
237
This type of leverage is the simplest to use and understand. The broker will let you buy stocks without cash, making your cash balance negative, and charging daily interest on it. You can pay it back whenever you want, and your broker will prefer you pay it back later so they can keep charging you interest.
ff217f Viraj Alankar 2025-06-09 18:15:55
238
e15d56 Viraj Alankar 2025-06-10 08:02:08
239
### Forex margin loan
ff217f Viraj Alankar 2025-06-09 18:15:55
240
242586 Viraj Alankar 2025-06-13 14:39:32
241
One way to reduce interest charges is using a forex margin loan (sometimes called a carry trade). Your broker may have a much lower interest rate for borrowing in another currency like CHF. Say that is 1.5%. You can take a CHF loan, convert that to USD, and use the funds to invest in US stocks. However, you must now beat both the 1.5% margin interest as well as any forex rate changes. For stable currencies like CHF, I've had good results for multi-year timeframes. However, if there is a big drop in USD value to the foreign currency, your loan repayment can be much bigger than you expected. Many people have done this with JPY due to its low interest rate.
a2bdc0 Viraj Alankar 2025-06-09 18:34:40
leverage
242
acbeb7 Viraj Alankar 2025-06-23 09:59:12
243
You can use forex futures to lock in an interest rate for the loan. For example, buying a /6S future will offset any currency fluctuation with CHF.
0c5ef7 Viraj Alankar 2025-06-09 18:58:25
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a2bdc0 Viraj Alankar 2025-06-09 18:34:40
leverage
245
### Box spreads
246
70e5a5 Viraj Alankar 2025-10-27 08:12:09
247
A short box spread is another way to take a loan, except it is not from your broker, but from the options market. It is a combination of a synthetic long and synthetic short. This essentially gives you the best borrowing rate that your broker will never beat. [This blog post](https://thefinancebuff.com/short-box-spread-vs-margin-loan-fidelity.html) describes the process. I created [this video](https://www.youtube.com/watch?v=mSmY9HNzeAo) and [slides](https://docs.google.com/presentation/d/1-CDrMKt7snfninR7kycAI7HIv2nGCyVBD-ozjVqwVUc/edit?slide=id.p#slide=id.p) going into the mechanics. [Here](https://youtu.be/IjVoQqNhsmM?si=tfZDomQMdVoOLbN4) is another good video about how this works.
a2bdc0 Viraj Alankar 2025-06-09 18:34:40
leverage
248
15b571 Viraj Alankar 2026-04-22 11:07:31
249
One way to understand how box spreads work is to consider 2 parties in the following transaction. Let's say I offer as a package to sell the combined contract of: buy stock A at $200, sell stock A at $100. I am offering to buy high and sell low, with a difference of $100. A 2nd party, the buyer, takes the opposite side: buy low and sell high, again with a difference of $100 which is the worth of the contract. They are willing to pay me $100.
b44672 Viraj Alankar 2026-03-27 05:38:07
250
9bf249 Viraj Alankar 2026-03-27 05:49:57
251
Now let's say I offer the same package, but I introduce a delay: you must wait 1 year to execute this contract. From the buyer's perspective, there is still the $100 value of the package, but they have to wait 1 year. There should be a cost to that waiting. So instead of offering $100 for the package, they offer $95. In other words, they are charging me $5 interest.
e5c602 Viraj Alankar 2026-03-27 05:43:14
252
1b80f8 Viraj Alankar 2026-03-31 06:23:48
253
I can accept that offer, or look for a better deal. Many buyers will make offers, and generally the best offer will be close to the risk-free interest rate, which will usually be much less than your broker's interest rate. That is a how a box spread works.
b44672 Viraj Alankar 2026-03-27 05:38:07
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e4cb7a Viraj Alankar 2025-06-14 05:51:53
255
[Boxtrades](https://www.boxtrades.com/) is a good site for figuring out the trade to enter. You can even combine this with a forex carry trade to take the loan in another currency with lower interest rate, but you will need to be able to trade options in non-US markets (e.g. [SMI index](https://www.six-group.com/en/market-data/indices/switzerland/equity/smi.html) for CHF).
5a8665 Viraj Alankar 2025-06-09 18:41:39
256
647e65 Viraj Alankar 2025-06-13 14:41:08
257
There are some fintech companies such as [SyntheticFi](https://www.syntheticfi.com/) offering to do these loans for you.
a374b1 Viraj Alankar 2025-06-09 18:53:17
258
2cb373 Viraj Alankar 2025-06-12 06:28:54
259
### Derivatives
00a18b Viraj Alankar 2025-06-10 05:05:57
260
3e3cfa Viraj Alankar 2025-06-12 06:29:35
261
Options and futures can be used for their inherent leverage. There are many strategies to trade these, however this only focuses on their use as leverage.
2cb373 Viraj Alankar 2025-06-12 06:28:54
262
c01c3c Viraj Alankar 2025-06-12 06:40:46
263
Forum threads:
2cb373 Viraj Alankar 2025-06-12 06:28:54
264
265
- [Futures vs. Options for broad-market leverage?](https://www.bogleheads.org/forum/viewtopic.php?t=280676)
266
267
#### Options
268
78f4d8 Viraj Alankar 2025-06-14 05:54:02
269
One option contract represents 100 shares, and its cost is much less than actual shares. That should give you an idea of its leverage. In most cases you would only be trading the option and not be assigned shares. However, the profit/loss would be similar to as if you were actually trading 100 shares.
a374b1 Viraj Alankar 2025-06-09 18:53:17
270
b8c902 Viraj Alankar 2025-06-14 05:08:45
271
##### Buying DITM LEAPS Calls
f7203f Viraj Alankar 2025-06-10 08:36:33
272
425889 Viraj Alankar 2025-06-23 10:02:58
273
This simply involves buying a long dated high delta call option. The high delta means it will most likely expire in the money, and will follow the actual stock price closely.
274
f7203f Viraj Alankar 2025-06-10 08:36:33
275
Overview video:
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- [Buying Deep In The Money Call Options - Save 62% & Double Your Returns! (Better Than Stock Buying)](https://youtu.be/_rCiCmx2K0I?si=CksDSd62n09EHhG_)
278
b8c902 Viraj Alankar 2025-06-14 05:08:45
279
###### Example
280
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
281
Assume I have $100k invested in plain equities. I want to leverage up to 1.5 to invest in US large cap. I buy DITM LEAPS calls 1 year out in SPYM (a lower cost version of SPY), using the strike price for .90 delta:
b8c902 Viraj Alankar 2025-06-14 05:08:45
282
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
283
- 6 SPYM 2026-03-20 53 CALL
b8c902 Viraj Alankar 2025-06-14 05:08:45
284
285
The exposure is:
286
287
```math
288
\text{Delta Notional Exposure} = 0.90 \times 53 \times 6 \times 100 = 28620
289
```
290
a29456 Viraj Alankar 2025-06-23 10:07:54
291
The actual cost of the options might be $12700 in cash. That means $12700 is giving a notional exposure of $28620 in the S&P 500.
b8c902 Viraj Alankar 2025-06-14 05:08:45
292
293
This gives an overall leverage ratio of:
294
295
```math
a29456 Viraj Alankar 2025-06-23 10:07:54
296
\frac{(100000 + 28620)}{(100000 - 12700)} = \frac{128620}{87300} = 1.47
b8c902 Viraj Alankar 2025-06-14 05:08:45
297
```
298
2cb373 Viraj Alankar 2025-06-12 06:28:54
299
##### Synthetic long stock
f7203f Viraj Alankar 2025-06-10 08:36:33
300
0e4363 Viraj Alankar 2025-06-14 05:12:37
301
This involves buying an ATM call and selling a put at the same strike. It is similar to using futures for leverage.
3c6ae8 Viraj Alankar 2025-06-10 11:56:03
302
f7203f Viraj Alankar 2025-06-10 08:36:33
303
Overview video:
304
305
- [Buying Stocks? Try This Instead - Synthetic Option Strategy](https://youtu.be/5G9tItA28Uw?si=YROxKchDAoV9DlTd)
a374b1 Viraj Alankar 2025-06-09 18:53:17
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2cb373 Viraj Alankar 2025-06-12 06:28:54
307
###### Example
bd3412 Viraj Alankar 2025-06-10 13:40:45
308
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
309
Assume I have $100k invested in plain equities. I want to leverage up to 1.3 to invest in US large cap. I setup an ATM synthetic long 1 year out in SPYM:
d98dbe Viraj Alankar 2025-06-10 13:38:59
310
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
311
- 4 SPYM 2026-03-20 71 Call
312
- -4 SPYM 2026-03-20 71 Put
d98dbe Viraj Alankar 2025-06-10 13:38:59
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b8c902 Viraj Alankar 2025-06-14 05:08:45
314
Since they are ATM the delta will be .50 for both. The exposure is:
d98dbe Viraj Alankar 2025-06-10 13:38:59
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d57a65 Viraj Alankar 2025-06-13 19:26:12
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```math
317
\text{Delta Notional Exposure} = (0.50 \times 71 \times 4 \times 100) + (-0.50 \times 71 \times -4 \times 100) = (14200) + (14200) = 28400
318
```
319
146e51 Viraj Alankar 2025-06-23 09:30:38
320
The actual cost of the position might be $500 in cash. That means $500 is giving a notional exposure of $28400 in the S&P 500. With portfolio margin, my buying power might be reduced by $3k to hold this position.
d57a65 Viraj Alankar 2025-06-13 19:26:12
321
322
This gives an overall leverage ratio of:
323
324
```math
325
\frac{(100000 + 28400)}{(100000 - 500)} = \frac{128400}{99500} = 1.29
326
```
fd41d6 Viraj Alankar 2025-06-10 08:40:00
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146e51 Viraj Alankar 2025-06-23 09:30:38
328
##### ZEBRA
329
a43ca0 Viraj Alankar 2026-05-19 11:36:54
330
This involves buying 2 .75 delta calls, and selling a .50 delta call. These deltas can be adjusted a bit, but the general idea is it should total 1 or less delta. It is similar to a synthetic long stock.
146e51 Viraj Alankar 2025-06-23 09:30:38
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332
Overview videos:
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aba304 Viraj Alankar 2025-07-08 09:58:55
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- [The Ultimate Guide to The ZEBRA Options Strategy (For Beginners)](https://youtu.be/XSrt4yvD3jk?si=DsBV0l9gQz5a5M8j)
146e51 Viraj Alankar 2025-06-23 09:30:38
335
- [How I Trade Zebras in a 5K-10K Account](https://youtu.be/KVVxPwVdmOo?si=6_D68JKfgJq1bGzU)
336
- [What Is The ZEBRA Strategy?](https://youtu.be/cWHNlSmSAJ4?si=jvZ1A3UWTMvPqlZm)
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338
###### Example
339
aba304 Viraj Alankar 2025-07-08 09:58:55
340
Assume I have $100k invested in plain equities. I want to leverage up to 1.7 to invest in US large cap. I setup a ZEBRA 1 year out in SPY:
146e51 Viraj Alankar 2025-06-23 09:30:38
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342
- 2 SPY 2026-06-18 545 Call
343
- -1 SPY 2026-06-18 620 Call
344
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The exposure is:
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347
```math
aba304 Viraj Alankar 2025-07-08 09:58:55
348
\text{Delta Notional Exposure} = (0.70 \times 545 \times 2 \times 100) + (0.50 \times 620 \times -1 \times 100) = (76300) + (-31000) = 45300
146e51 Viraj Alankar 2025-06-23 09:30:38
349
```
350
aba304 Viraj Alankar 2025-07-08 09:58:55
351
The actual cost of the position might be $14k. That means $14000 is giving a notional exposure of $45300 in the S&P 500. With portfolio margin, my buying power might be reduced by $6000 to hold this position.
146e51 Viraj Alankar 2025-06-23 09:30:38
352
353
This gives an overall leverage ratio of:
354
355
```math
aba304 Viraj Alankar 2025-07-08 09:58:55
356
\frac{(100000 + 45300)}{(100000 - 14000)} = \frac{145300}{86000} = 1.69
146e51 Viraj Alankar 2025-06-23 09:30:38
357
```
358
2cb373 Viraj Alankar 2025-06-12 06:28:54
359
#### Futures
a374b1 Viraj Alankar 2025-06-09 18:53:17
360
789b5e Viraj Alankar 2025-06-23 10:14:30
361
A long futures contract on an equities index should behave similarly to owning an ETF, except that you have leverage.
362
2cb373 Viraj Alankar 2025-06-12 06:28:54
363
##### Example
bd3412 Viraj Alankar 2025-06-10 13:40:45
364
365
Assume I have $100k invested in plain equities. I want to leverage up to 1.3 to invest in US large cap.
05f8e6 Viraj Alankar 2025-06-10 10:16:28
366
1b11d6 Viraj Alankar 2025-06-23 10:15:44
367
1 /MES futures contract has a notional value of 5 * index price. Currently that is $30k. To long this contract, I am required to set aside $2500 as a good faith deposit for the contract. Note that the cost is essentially zero, except for commissions.
05f8e6 Viraj Alankar 2025-06-10 10:16:28
368
980725 Viraj Alankar 2025-06-13 19:37:42
369
This gives me a notional exposure of $30k in the S&P 500 with a deposit of $2500. The $2500 is only the bare minimum, and it is usually advised to keep 2-5x of cash to handle downswings (see [Futures vs equities margin](#futures-vs-equities-margin)).
6d161b Viraj Alankar 2025-06-10 10:38:32
370
980725 Viraj Alankar 2025-06-13 19:37:42
371
This gives an overall leverage ratio of:
6d161b Viraj Alankar 2025-06-10 10:38:32
372
980725 Viraj Alankar 2025-06-13 19:37:42
373
```math
374
\frac{(100000 + 30000)}{(100000 - 2500)} = \frac{130000}{97500} = 1.33
375
```
0c28a5 Viraj Alankar 2025-06-09 19:31:36
376
9c7075 Viraj Alankar 2025-06-14 05:21:26
377
## General information
2d84ab Viraj Alankar 2025-06-10 07:57:08
378
b3d6e1 Viraj Alankar 2025-07-21 09:58:10
379
### Bonds
380
381
I tend to look at bonds solely as a volatility hedge. I consider cash, usually in an account earning interest, and non-US retirement accounts in a different currency, such as a Swiss Pillar 2, as part of my bonds allocation.
382
383
There are some arguments to treat social security as part of your bonds allocation. It is more just an income source during retirement, and a bit difficult to calculate as a bonds value. I just don't consider social security at all in my investments or net worth.
384
9c7075 Viraj Alankar 2025-06-14 05:21:26
385
### Options
2d84ab Viraj Alankar 2025-06-10 07:57:08
386
06f6d1 Viraj Alankar 2025-08-12 10:24:03
387
#### Videos
388
7f2f2c Viraj Alankar 2025-06-10 07:58:55
389
- [The Hidden Logic of Options | Put-Call Parity Explained with Legos](https://youtu.be/vYPulKD58fA?si=MnaT62VW2FJisOIN)
dde164 Viraj Alankar 2025-08-03 13:52:30
390
- [Put-Call Parity Revisited](https://youtu.be/woU3Ge2KYSc?si=JZnvPoeN-2n5mHrz)
2d84ab Viraj Alankar 2025-06-10 07:57:08
391
- [How To Trade Options in 2 Hours 12 Minutes and 4 Seconds | Live Bash Series](https://youtu.be/441HWKDot0Y?si=kYyqLX-V39qhbr3d)
392
06f6d1 Viraj Alankar 2025-08-12 10:24:03
393
#### Links
394
395
- [OptionStrat](https://optionstrat.com/) - Good tool for seeing P/L of various strategies
4e917a Viraj Alankar 2026-04-26 12:32:41
396
- [Options profit calculator](https://www.optionsprofitcalculator.com/)
06f6d1 Viraj Alankar 2025-08-12 10:24:03
397
9c7075 Viraj Alankar 2025-06-14 05:21:26
398
### Futures
123e3d Viraj Alankar 2025-06-10 08:01:28
399
06f6d1 Viraj Alankar 2025-08-12 10:24:03
400
- [How to Start Trading Futures l BEST Trading Tips For Beginners!](https://youtu.be/C-rrNirdXl4?si=LYNdSloOP4y5efrD)
123e3d Viraj Alankar 2025-06-10 08:01:28
401
9c7075 Viraj Alankar 2025-06-14 05:21:26
402
#### Futures vs equities margin
0c28a5 Viraj Alankar 2025-06-09 19:31:36
403
01fc4d Viraj Alankar 2025-06-10 04:34:23
404
Futures margin is confusingly not the same as equities margin. When you buy or sell a futures contract, it costs nothing other than the commission. Instead, you put up in cash a good faith deposit. which is called its margin requirement. Every day, depending on whether the position moves for or against you, it is marked to market and funds are either deducted or added to your deposit. You get that deposit back, along with any profit or loss, when the contract closes.
85a4c4 Viraj Alankar 2025-06-10 04:33:24
405
56fc95 Viraj Alankar 2025-06-10 04:35:50
406
Importantly, a futures contract requires actual cash. This is same for buying or selling a contract. The broker will let you borrow that cash from your equities account via a margin loan. This is different from an options trade which might only use your buying power and not require any cash or loan at all.
85a4c4 Viraj Alankar 2025-06-10 04:33:24
407
d3d0df Viraj Alankar 2025-11-29 11:43:24
408
The main point is you need to have cash in your account to cover the margin requirement plus any possible losses in the futures contract. Typically people hold 2 to 3 times the margin requirement in cash just to be on the safe side.
85a4c4 Viraj Alankar 2025-06-10 04:33:24
409
0c28a5 Viraj Alankar 2025-06-09 19:31:36
410
Explanation from a Schwab rep:
411
412
> I see you have been trading /MES so let's say you buy 1 /MES. First you will need to put up the house requirement needed to enter into the trade which will come out of your option BP (buying power), for /MES this is currently 2,550 per contract.
413
>
414
> If you hold onto the /MES position through the futures market close, then there will be two different sweeps. The first is M2M (mark to market). M2M accounts for profits and losses during that day using the futures settlement price. Initially M2M will compare your trade price to the futures settlement price. If a profit is made, then we will move the excess profit from the futures cash balance to your cash & sweep vehicle. If it's a loss, then we will take cash from your cash & sweep vehicle and sweep it to the futures cash. If you were to hold /MES through more than one day, then it will compare today's settlement vs yesterday's settlement price.
415
>
416
> The second cash sweep that will happen actually happens overnight. You will see this listed as "Cash Sweep" in ThinkorSwim. This overnight sweep is used to get the futures cash balance high enough to cover the exchange's initial requirement which is posted by the CME. As of today, for /MES the exchange initial requirement is 2,412.3 per contract for longs, however this does change every day. The overnight sweep moves the cash, so the futures cash balance equals the exchange initial requirement.
b267c6 Viraj Alankar 2025-06-11 13:52:59
Add bonds section
417
862e88 Viraj Alankar 2025-12-18 21:45:41
418
Explanation from Interactive Brokers:
419
420
> The settled cash in both segments are summed when computing principal subject to interest, and the margin requirements for the futures are then backed out.
421
>
422
> Principal is per currency and = total settled cash - short stock collateral - futures margin
423
c57b18 Viraj Alankar 2025-06-12 06:39:23
424
Forum threads:
0db3fd Viraj Alankar 2025-06-12 06:32:15
425
426
- [How do rolling and margin on futures trading work?](https://www.bogleheads.org/forum/viewtopic.php?t=300111)
5dca3c Viraj Alankar 2025-06-12 08:48:08
427
- [Trading Futures, Should I Use All Cash Balance to Buy a Money Market Fund?](https://www.bogleheads.org/forum/viewtopic.php?t=201254)
428
- [How can I invest my maintenance margin (for futures)?](https://www.bogleheads.org/forum/viewtopic.php?t=393827)
0db3fd Viraj Alankar 2025-06-12 06:32:15
429
9c7075 Viraj Alankar 2025-06-14 05:21:26
430
#### Futures instead of stock
95e0e8 Viraj Alankar 2025-06-11 14:09:46
431
654176 Viraj Alankar 2025-06-14 06:01:04
432
Futures let you buy (or sell) into indexes like the S&P 500 and Russell 2000. A long /ES or /MES futures position should be equivalent to holding SPY shares. It is essentially an ETF without fees, however the longer-dated future price will be higher than the current index. There is an inherent loan when you long a future and interest is baked in.
95e0e8 Viraj Alankar 2025-06-11 14:09:46
433
654176 Viraj Alankar 2025-06-14 06:01:04
434
For example, US small cap can be replaced with /RTY or /M2K. If my rebalancing requires I put $10k into US small cap, instead of buying the SCHA ETF, I might instead buy 1 /M2K future, which is currently the same notional value, but costs much less.
198504 Viraj Alankar 2025-06-12 11:04:00
435
436
Forum threads:
437
438
- [[Non-US] S&P e-mini futures vs ETFs](https://www.bogleheads.org/forum/viewtopic.php?t=329552)
95e0e8 Viraj Alankar 2025-06-11 14:09:46
439
9c7075 Viraj Alankar 2025-06-14 05:21:26
440
#### Representing bonds with futures
b267c6 Viraj Alankar 2025-06-11 13:52:59
Add bonds section
441
cabdaa Viraj Alankar 2025-08-13 09:25:05
442
The /10Y futures represents the current 10-year treasury yield. If the current yield is rising, it means newer bonds are worth more than older bonds. i.e. the return on newly issued bonds are greater than older issued bonds. The inverse should also be true.
b267c6 Viraj Alankar 2025-06-11 13:52:59
Add bonds section
443
011599 Viraj Alankar 2025-06-11 13:55:48
444
ETFs like BND contain a mix of different types of bonds, but should be mostly older issued bonds. So what we should see is an inverse correlation of the /10Y future with the BND price. This indeed looks true based on a graph of BND with /10Y:
445
446
![](./bonds_v_10y_futures.png)
447
63c182 Viraj Alankar 2025-08-13 09:28:41
448
Buying BND *might* be equivalent to shorting (selling) /10Y futures. Shorting /10Y means betting that current rates come down, which means bonds at older rates will go up in value. From a portfolio standpoint, bonds are usually included to reduce volatility. They also give some income, so I'm not yet sure if the short futures position can be considered equivalent. It is something to test long term.
14eb41 Viraj Alankar 2025-06-11 14:19:15
449
450
See [Understanding Treasury Futures](https://www.cmegroup.com/education/files/understanding-treasury-futures.pdf) from the CME.
7b5a7d Viraj Alankar 2025-08-24 10:09:51
451
452
### Cash loans with leverage
453
49ed45 Viraj Alankar 2025-08-24 10:42:24
454
In many cases you will use the cash you received using leverage to buy further investments. However, this cash can be used for anything you want. The interest rates on these loans can beat standard bank loans. You can even opt to never pay the loan back, which is essentially the ["buy, borrow, die"](https://smartasset.com/investing/buy-borrow-die-how-the-rich-avoid-taxes) strategy. When you die, whoever inherits your equities will get their cost-basis reset to the value at inheritance, which means no capital gains if they sell.
7b5a7d Viraj Alankar 2025-08-24 10:09:51
455
25665d Viraj Alankar 2025-08-24 10:59:38
456
Taking a cash loan from your stocks is essentially a leveraged trade. You have pulled money out while keeping your stocks, therefore you have increased your leverage. As an example, let's say I have $325k in stocks. Without any loan, my leverage ratio as defined above is:
7b5a7d Viraj Alankar 2025-08-24 10:09:51
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```math
c1fbf2 Viraj Alankar 2025-08-24 10:43:43
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\text{Leverage Ratio} = \frac{\text{Notional Exposure}}{\text{Portfolio Equity}} = 1
7b5a7d Viraj Alankar 2025-08-24 10:09:51
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```
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83a195 Viraj Alankar 2025-08-24 10:33:26
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Both notional exposure and portfolio equity is equal, so my leverage ratio is 1. Let's say I now pull out $100k in cash, taking a margin loan. My leverage ratio becomes:
7b5a7d Viraj Alankar 2025-08-24 10:09:51
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```math
25665d Viraj Alankar 2025-08-24 10:59:38
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\text{Leverage Ratio} = \frac{325000}{325000 - 100000} = 1.44
7b5a7d Viraj Alankar 2025-08-24 10:09:51
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```
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83a195 Viraj Alankar 2025-08-24 10:33:26
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With different leveraging strategies I can achieve the same leverage in multiple ways. In this case I've just used a margin loan.
9b575e Viraj Alankar 2025-08-24 10:28:44
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25665d Viraj Alankar 2025-08-24 10:59:38
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Let's say instead I start with $325k in cash, and no equities. My leverage ratio is 1. I buy 1 /ES S&P 500 future, which has about $325k in notional value and requires about $25k cash set aside (margin requirement). As it stands my leverage ratio is:
9b4788 Viraj Alankar 2025-08-24 10:41:38
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```math
25665d Viraj Alankar 2025-08-24 10:59:38
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\text{Leverage Ratio} = \frac{325000}{325000 - 25000} = 1.08
9b4788 Viraj Alankar 2025-08-24 10:41:38
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```
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081d2c Viraj Alankar 2025-09-06 15:01:05
476
There is now $300k leftover in cash. If I start withdrawing cash, the leverage goes up, and I can easily match the 1.44 in the first example. Suppose I withdraw $75k in cash:
9b575e Viraj Alankar 2025-08-24 10:28:44
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```math
25665d Viraj Alankar 2025-08-24 10:59:38
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\text{Leverage Ratio} = \frac{325000}{325000 - 25000 - 75000} = 1.44
9b575e Viraj Alankar 2025-08-24 10:28:44
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```
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25665d Viraj Alankar 2025-08-24 10:59:38
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I've essentially done the same thing as a margin loan, albeit for a smaller cash loan ($75k vs $100k). With the margin loan, there is the daily interest cost. With the futures "loan", the interest is baked in because the futures quote for a later date will be higher than the current index quote.
df476e Viraj Alankar 2025-08-24 10:45:46
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be20ad Viraj Alankar 2025-08-24 11:17:09
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How can we compare the interest rates? For the margin loan it is simple and is what the brokerage gives us, say 6%. The cost of 1 year borrowing $100k is $6k.
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For the futures trade, let's look at an example with current quotes. Say the current S&P index is 6466. A futures contract of length 117 days is 6541. So the upfront cost is `6541-6466 = 75`. That is `75/117` per day or `((75/117)*365)` per year: $234.
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8d7e7c Viraj Alankar 2025-09-06 14:55:18
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That means for our loan of $75k, the interest rate is `(234/75000)` or about 0.3%. That is much lower than 6%. I'm likely calculating this wrong and ignoring other costs, but hopefully the point comes across.
be20ad Viraj Alankar 2025-08-24 11:17:09
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5e9df6 Viraj Alankar 2025-08-24 11:20:53
490
This example is mainly to show that these loan instruments are interchangeable and it all comes down to how you achieve leverage and its associated cost.