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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
Some new text
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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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b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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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 | AGGH, 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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5eef67 Viraj Alankar 2026-06-05 12:40:14
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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. Replacing some of your bonds allocation with managed futures might be a good strategy. I hold about 5% of my portfolio, or 25% of my bonds allocation, in managed futures.
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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b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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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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b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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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/)
4370a1 Viraj Alankar 2026-06-03 01:18:40
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Videos:
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b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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- [ETF Edge on the mechanics of managed futures](https://youtu.be/Uyxk3leyw5M?si=WOaadUAqB28gs6Fv)
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- [How DBMF Replicates Top Hedge Fund Managers | Andrew Beer, iMGP](https://youtu.be/1e42uZpnq4k?si=SpwXi1ELlvMCLbP5)
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- [Protect Your Portfolio: How Managed Futures (CTA) Thrive When Stocks Crash](https://youtu.be/RtWw1blXjow?si=OGKEYN6_mpt_VXtQ)
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- [Tap Into The Same Advantage That Hedge Funds Do | Andrew Beer](https://youtu.be/7coRSk2NwUU?si=0FRTFCNqCHUKl0Xr)
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- [KMLM ETF Review. A true diversifier. Who should buy it and how it fits in a portfolio](https://youtu.be/ukT_l0PVQ4A?si=5EQhlwDzoB06zfFH)
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 |
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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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b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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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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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/)
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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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### 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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a9aca2 Viraj Alankar 2025-06-13 13:01:07
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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:
b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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a9aca2 Viraj Alankar 2025-06-13 13:01:07
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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:
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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
218
ad5092 Viraj Alankar 2026-05-30 16:41:21
219
### Leveraged ETFs
220
221
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/).
222
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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.
224
60e916 Viraj Alankar 2026-05-30 16:52:19
225
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.
226
727135 Viraj Alankar 2026-05-30 17:05:50
227
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
228
db0b97 Viraj Alankar 2026-05-30 17:10:42
229
```math
230
W = \text{your capital}
231
L = \text{desired leverage (e.g. 1.5)}
727135 Viraj Alankar 2026-05-30 17:05:50
232
SPY = (2 - L)W
233
SSO = (L - 1)W
db0b97 Viraj Alankar 2026-05-30 17:10:42
234
```
235
0ed19b Viraj Alankar 2025-06-09 19:54:11
236
### Margin loan
ff217f Viraj Alankar 2025-06-09 18:15:55
237
86aabd Viraj Alankar 2025-06-10 14:10:34
238
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.
239
240
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
241
e15d56 Viraj Alankar 2025-06-10 08:02:08
242
### Forex margin loan
ff217f Viraj Alankar 2025-06-09 18:15:55
243
242586 Viraj Alankar 2025-06-13 14:39:32
244
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
245
acbeb7 Viraj Alankar 2025-06-23 09:59:12
246
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
247
a2bdc0 Viraj Alankar 2025-06-09 18:34:40
leverage
248
### Box spreads
249
70e5a5 Viraj Alankar 2025-10-27 08:12:09
250
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
251
15b571 Viraj Alankar 2026-04-22 11:07:31
252
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
253
9bf249 Viraj Alankar 2026-03-27 05:49:57
254
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
255
1b80f8 Viraj Alankar 2026-03-31 06:23:48
256
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
257
e4cb7a Viraj Alankar 2025-06-14 05:51:53
258
[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
259
647e65 Viraj Alankar 2025-06-13 14:41:08
260
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
261
2cb373 Viraj Alankar 2025-06-12 06:28:54
262
### Derivatives
00a18b Viraj Alankar 2025-06-10 05:05:57
263
3e3cfa Viraj Alankar 2025-06-12 06:29:35
264
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
265
c01c3c Viraj Alankar 2025-06-12 06:40:46
266
Forum threads:
2cb373 Viraj Alankar 2025-06-12 06:28:54
267
268
- [Futures vs. Options for broad-market leverage?](https://www.bogleheads.org/forum/viewtopic.php?t=280676)
269
270
#### Options
271
78f4d8 Viraj Alankar 2025-06-14 05:54:02
272
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
273
b8c902 Viraj Alankar 2025-06-14 05:08:45
274
##### Buying DITM LEAPS Calls
f7203f Viraj Alankar 2025-06-10 08:36:33
275
425889 Viraj Alankar 2025-06-23 10:02:58
276
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.
277
f7203f Viraj Alankar 2025-06-10 08:36:33
278
Overview video:
279
280
- [Buying Deep In The Money Call Options - Save 62% & Double Your Returns! (Better Than Stock Buying)](https://youtu.be/_rCiCmx2K0I?si=CksDSd62n09EHhG_)
281
b8c902 Viraj Alankar 2025-06-14 05:08:45
282
###### Example
283
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
284
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
285
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
286
- 6 SPYM 2026-03-20 53 CALL
b8c902 Viraj Alankar 2025-06-14 05:08:45
287
288
The exposure is:
289
290
```math
291
\text{Delta Notional Exposure} = 0.90 \times 53 \times 6 \times 100 = 28620
292
```
293
a29456 Viraj Alankar 2025-06-23 10:07:54
294
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
295
296
This gives an overall leverage ratio of:
297
298
```math
a29456 Viraj Alankar 2025-06-23 10:07:54
299
\frac{(100000 + 28620)}{(100000 - 12700)} = \frac{128620}{87300} = 1.47
b8c902 Viraj Alankar 2025-06-14 05:08:45
300
```
301
2cb373 Viraj Alankar 2025-06-12 06:28:54
302
##### Synthetic long stock
f7203f Viraj Alankar 2025-06-10 08:36:33
303
0e4363 Viraj Alankar 2025-06-14 05:12:37
304
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
305
f7203f Viraj Alankar 2025-06-10 08:36:33
306
Overview video:
307
308
- [Buying Stocks? Try This Instead - Synthetic Option Strategy](https://youtu.be/5G9tItA28Uw?si=YROxKchDAoV9DlTd)
a374b1 Viraj Alankar 2025-06-09 18:53:17
309
2cb373 Viraj Alankar 2025-06-12 06:28:54
310
###### Example
bd3412 Viraj Alankar 2025-06-10 13:40:45
311
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
312
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
313
336dda Viraj Alankar 2025-10-31 17:54:32
SPLG is no more.
314
- 4 SPYM 2026-03-20 71 Call
315
- -4 SPYM 2026-03-20 71 Put
d98dbe Viraj Alankar 2025-06-10 13:38:59
316
b8c902 Viraj Alankar 2025-06-14 05:08:45
317
Since they are ATM the delta will be .50 for both. The exposure is:
d98dbe Viraj Alankar 2025-06-10 13:38:59
318
d57a65 Viraj Alankar 2025-06-13 19:26:12
319
```math
320
\text{Delta Notional Exposure} = (0.50 \times 71 \times 4 \times 100) + (-0.50 \times 71 \times -4 \times 100) = (14200) + (14200) = 28400
321
```
322
146e51 Viraj Alankar 2025-06-23 09:30:38
323
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
324
325
This gives an overall leverage ratio of:
326
327
```math
328
\frac{(100000 + 28400)}{(100000 - 500)} = \frac{128400}{99500} = 1.29
329
```
fd41d6 Viraj Alankar 2025-06-10 08:40:00
330
146e51 Viraj Alankar 2025-06-23 09:30:38
331
##### ZEBRA
332
a43ca0 Viraj Alankar 2026-05-19 11:36:54
333
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
334
335
Overview videos:
336
aba304 Viraj Alankar 2025-07-08 09:58:55
337
- [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
338
- [How I Trade Zebras in a 5K-10K Account](https://youtu.be/KVVxPwVdmOo?si=6_D68JKfgJq1bGzU)
339
- [What Is The ZEBRA Strategy?](https://youtu.be/cWHNlSmSAJ4?si=jvZ1A3UWTMvPqlZm)
340
341
###### Example
342
aba304 Viraj Alankar 2025-07-08 09:58:55
343
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
344
345
- 2 SPY 2026-06-18 545 Call
346
- -1 SPY 2026-06-18 620 Call
347
348
The exposure is:
349
350
```math
aba304 Viraj Alankar 2025-07-08 09:58:55
351
\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
352
```
353
aba304 Viraj Alankar 2025-07-08 09:58:55
354
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
355
356
This gives an overall leverage ratio of:
357
358
```math
aba304 Viraj Alankar 2025-07-08 09:58:55
359
\frac{(100000 + 45300)}{(100000 - 14000)} = \frac{145300}{86000} = 1.69
146e51 Viraj Alankar 2025-06-23 09:30:38
360
```
361
2cb373 Viraj Alankar 2025-06-12 06:28:54
362
#### Futures
a374b1 Viraj Alankar 2025-06-09 18:53:17
363
789b5e Viraj Alankar 2025-06-23 10:14:30
364
A long futures contract on an equities index should behave similarly to owning an ETF, except that you have leverage.
365
2cb373 Viraj Alankar 2025-06-12 06:28:54
366
##### Example
bd3412 Viraj Alankar 2025-06-10 13:40:45
367
368
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
369
1b11d6 Viraj Alankar 2025-06-23 10:15:44
370
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
371
980725 Viraj Alankar 2025-06-13 19:37:42
372
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
373
980725 Viraj Alankar 2025-06-13 19:37:42
374
This gives an overall leverage ratio of:
6d161b Viraj Alankar 2025-06-10 10:38:32
375
980725 Viraj Alankar 2025-06-13 19:37:42
376
```math
377
\frac{(100000 + 30000)}{(100000 - 2500)} = \frac{130000}{97500} = 1.33
378
```
0c28a5 Viraj Alankar 2025-06-09 19:31:36
379
9c7075 Viraj Alankar 2025-06-14 05:21:26
380
## General information
2d84ab Viraj Alankar 2025-06-10 07:57:08
381
b3d6e1 Viraj Alankar 2025-07-21 09:58:10
382
### Bonds
383
384
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.
385
386
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.
387
b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
388
#### Bond ETFs
389
390
- [AGGH vs SCHZ](https://testfol.io/?s=bDKszgONcQE)
391
9c7075 Viraj Alankar 2025-06-14 05:21:26
392
### Options
2d84ab Viraj Alankar 2025-06-10 07:57:08
393
06f6d1 Viraj Alankar 2025-08-12 10:24:03
394
#### Videos
395
7f2f2c Viraj Alankar 2025-06-10 07:58:55
396
- [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
397
- [Put-Call Parity Revisited](https://youtu.be/woU3Ge2KYSc?si=JZnvPoeN-2n5mHrz)
2d84ab Viraj Alankar 2025-06-10 07:57:08
398
- [How To Trade Options in 2 Hours 12 Minutes and 4 Seconds | Live Bash Series](https://youtu.be/441HWKDot0Y?si=kYyqLX-V39qhbr3d)
399
06f6d1 Viraj Alankar 2025-08-12 10:24:03
400
#### Links
401
402
- [OptionStrat](https://optionstrat.com/) - Good tool for seeing P/L of various strategies
4e917a Viraj Alankar 2026-04-26 12:32:41
403
- [Options profit calculator](https://www.optionsprofitcalculator.com/)
06f6d1 Viraj Alankar 2025-08-12 10:24:03
404
9c7075 Viraj Alankar 2025-06-14 05:21:26
405
### Futures
123e3d Viraj Alankar 2025-06-10 08:01:28
406
06f6d1 Viraj Alankar 2025-08-12 10:24:03
407
- [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
408
9c7075 Viraj Alankar 2025-06-14 05:21:26
409
#### Futures vs equities margin
0c28a5 Viraj Alankar 2025-06-09 19:31:36
410
01fc4d Viraj Alankar 2025-06-10 04:34:23
411
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
412
56fc95 Viraj Alankar 2025-06-10 04:35:50
413
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
414
d3d0df Viraj Alankar 2025-11-29 11:43:24
415
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
416
0c28a5 Viraj Alankar 2025-06-09 19:31:36
417
Explanation from a Schwab rep:
418
419
> 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.
b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
420
>
0c28a5 Viraj Alankar 2025-06-09 19:31:36
421
> 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.
b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
422
>
0c28a5 Viraj Alankar 2025-06-09 19:31:36
423
> 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
424
862e88 Viraj Alankar 2025-12-18 21:45:41
425
Explanation from Interactive Brokers:
426
427
> 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.
428
>
429
> Principal is per currency and = total settled cash - short stock collateral - futures margin
430
c57b18 Viraj Alankar 2025-06-12 06:39:23
431
Forum threads:
0db3fd Viraj Alankar 2025-06-12 06:32:15
432
433
- [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
434
- [Trading Futures, Should I Use All Cash Balance to Buy a Money Market Fund?](https://www.bogleheads.org/forum/viewtopic.php?t=201254)
435
- [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
436
9c7075 Viraj Alankar 2025-06-14 05:21:26
437
#### Futures instead of stock
95e0e8 Viraj Alankar 2025-06-11 14:09:46
438
654176 Viraj Alankar 2025-06-14 06:01:04
439
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
440
654176 Viraj Alankar 2025-06-14 06:01:04
441
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
442
443
Forum threads:
444
445
- [[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
446
9c7075 Viraj Alankar 2025-06-14 05:21:26
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#### Representing bonds with futures
b267c6 Viraj Alankar 2025-06-11 13:52:59
Add bonds section
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cabdaa Viraj Alankar 2025-08-13 09:25:05
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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
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011599 Viraj Alankar 2025-06-11 13:55:48
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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:
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![](./bonds_v_10y_futures.png)
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b4782f Viraj Alankar 2026-07-14 17:25:21
Add AGGH.
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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
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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
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### Cash loans with leverage
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49ed45 Viraj Alankar 2025-08-24 10:42:24
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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
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25665d Viraj Alankar 2025-08-24 10:59:38
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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
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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
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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.