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Some investors have owned Series I savings bonds (I bonds) for many years, and the 30-year maturity date is approaching. Others bought Series I savings bonds in recent years to insulate their portfolios from inflation and the ups and downs in the stock market. 

Whether you are a recent investor in I bonds, have owned them for many years, or are pondering adding them to your investment portfolio, you should be aware of the federal tax rules. 

I bonds have important tax advantages for owners. Interest earned on I bonds is exempt from state and local taxation. Also, owners can defer federal income tax on the accrued interest for up to 30 years. 

These rules might seem simple at first. But they can get complicated pretty quickly. 

For example, the tax treatment of I bonds varies depending on who owns the bonds, whether you gift the bonds to someone else, and in some cases, how the bonds are used. What follows are descriptions of how and when I bond interest is taxed under federal law in nine common situations.  Hopefully, this information will help you trim your tax bill while planning for the future.

Note: For people who own EE bonds, the federal income tax consequences are identical to those of I bonds. So this story is also applicable to you. 

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Are banks open on Veterans Day in 2024? That’s a question plenty of folks are wondering just ahead of the holiday that honors those who have served in the military. The answer is no, banks are not open on Monday, November 11.

Veterans Day, which is known as Armistice Day or Remembrance Day in other countries, is a federal holiday that occurs each year on November 11. It marks the day in 1918 an agreement was signed between Germany and the Allied nations to end World War I. It is one of 11 bank holidays this year.

Many folks will choose to spend the holiday with family and friends, attending a local parade or supporting a veteran-owned business. Others might want to take a few minutes talking with a vet they know closely about their financial health. For instance, Kiplinger editors uncovered these major financial benefits provided to veterans and their families by the U.S. Department of Veterans Affairs (VA), including home loans.

We’ve also taken a closer look at a number of programs available to help offset the financial circumstances that are specific to service members – including one for those called to active duty whose compensation could be cut from their regular job while they are away.

As for those wondering “Is the stock market open on Veterans Day?,” the answer to that is yes. Veterans Day is not a stock market holiday.

Anyone curious about what time does the market open for regular trading hours, both the Nasdaq Stock Market and the New York Stock Exchange (NYSE) are open from 9:30 am to 4:00 pm Eastern time Monday through Friday.

Below, we feature a full schedule of all U.S. bank holidays for 2024.

Bank holidays 2024

Swipe to scroll horizontally
Date Day Holiday
January 1 Monday New Year’s Day
January 15 Monday Martin Luther King, Jr. Day
February 19 Monday Presidents’ Day/Washington’s Birthday
May 27 Monday Memorial Day
June 19 Wednesday Juneteenth National Independence Day
July 4 Thursday Independence Day
September 2 Monday Labor Day
October 14 Monday Columbus Day/Indigenous Peoples’ Day
November 11 Monday Veterans Day
November 28 Thursday Thanksgiving Day
December 25 Wednesday Christmas Day

* This is the recommended bank market holiday schedule from the Federal Reserve. This schedule is subject to change.

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Markets surged in the aftermath of the presidential election, and while it’s true that long-term investors have done well regardless of which party holds the White House, traders and tacticians have very different incentives and time frames.

Capital is rarely destroyed, but it does move around. As such, the potential implications for asset prices and economic developments have market participants recalibrating bets across classes, sectors, industries and even specific stocks.

Sector leaders early Wednesday included financials, industrials and energy names, while real estate and utilities weighed on the market. Small-cap stocks also outperformed, with the Russell 2000 Index gapping up more than 5% at the open. Benchmark 10-year Treasury notes sold off, raising borrowing costs at the longer end of the yield curve. Gold and oil declined.

Also note that the CBOE Volatility Index (VIX) plummeted. Although election uncertainty has been removed from the list of worries fueling the market’s so-called fear gauge, one day’s action does not make a trend.

With the 2024 election now a matter of record, we turned to economists, strategists and other experts for their thoughts on what the regime change in Washington could mean for markets, macroeconomics and monetary policy going forward.

Please see a selection of commentary below, sometimes edited for brevity or clarity.

Markets & macro: The experts weigh in

should I buy stocks

“Markets hate uncertainty and now that the election is officially over, stocks are soaring today. Optimism over tax cuts, a still dovish Fed, and a potentially better economy are part of it, but the reality is the economy has been quite solid all year, so this really isn’t anything new. Back to your regularly scheduled bull market is how we see it.” – Ryan Detrick, chief market strategist at Carson Group

“A key driver for stocks in the near term will be the reduction in political uncertainty, a dynamic that typically drives strong year-end returns in Presidential election years. Along with the resolution of election uncertainty, resilient recent economic growth data and continued Fed rate cuts support the healthy near-term outlook for U.S. stocks. We believe investors and corporate executives will now focus on four issues relating to the US equity market: (1) Post-election path of the S&P 500 index; (2) Equity investor positioning; (3) Rotations within the market, including those relating to trade and tax policy; and (4) The outlook for corporate M&A and IPO activity. We maintain our 12-month S&P 500 index target of 6300, reflecting a 9% gain from the current level.” – David Kostin, chief U.S. equity strategist at Goldman Sachs

“The market’s reaction to the election outcome has been robust, with U.S. equities experiencing significant gains. Small caps and regional banks are particularly benefiting from investor confidence in pro-cyclical policies and potential deregulation. This reflects a broader optimism about U.S. economic resilience and growth prospects, as these sectors are poised to capitalize on increased M&A opportunities and a favorable regulatory environment.” – Jacob Manoukian, head of U.S. investment strategy at J.P. Morgan Private Bank

“Corporate fundamentals are on solid ground, profits are expected to grow over the coming quarters, and stock prices reflect a healthy environment. Stocks are sitting on very healthy year-to-date gains, with all 11 sectors expected to grow profits in 2025. Normalized inflation levels should continue to relieve pressures on consumers and businesses over time. Notably, lower interest rates could help add support for lending activities, business investment, and improve affordability across larger-ticket consumer items, such as homes and autos. America is working, and consumers/businesses are spending. As a result, U.S. growth trends remain the envy of the world.” – Anthony Saglimbene, chief market strategist at Ameriprise

“Favorable macro drivers still dominate, and the prospect of a Republican sweep and lower taxes is adding to the market enthusiasm. That may get tempered in the coming weeks by more details regarding tariff policy or a continued rise in long-term Treasury yields, but for the past two years we’ve said that the environment is favorable for risk taking and that remains the case.” – Yung-Yu Ma, chief investment officer at BMO Wealth Management

“Trump’s win implies import tariffs in 2025, giving the Federal Reserve less scope to ease. The scope for tax cuts and a much larger budget deficit in 2026 remains unclear given that the race to control the House is finely balanced, but we can now be almost certain that tariffs on imports will be imposed next year. A renewed downturn now looms for the manufacturing sector, which has stagnated this year. Retaliation by foreign governments with their own tariffs and the stronger dollar will weaken exports, while it will remain much cheaper to source goods from overseas. In the past, the Fed has looked through adverse supply shocks, but with core PCE inflation now unlikely to return to the 2% target and households’ medium-term inflation expectations still above target-consistent rates, it will have to change course this time.” – Samuel Tombs, chief U.S. economist at Pantheon Macroeconomics

“After a decisive presidential election, our first take on financial markets is that the U.S. dollar rally still has room to run, U.S. longer rates have more quickly priced in the election outcome, a U.S. equity melt-up into year​-​end is a real possibility, and European stocks, while already pricing tariff risk, may keep lagging.” – the team at Barclays Cross Asset Research

“Capital is rarely destroyed; usually, it just moves around. Capital simply oozes through the global financial system in search of where it is most welcomed and used productively on a relative (not absolute) basis. That’s the primary reason U.S. equities outperform rest of world stocks and why the dollar remains the world’s reserve currency despite relatively high Federal deficits. It’s not that U.S. companies are uniformly the best enterprises, or the U.S. system of government is an optimal structure. Rather, both are simply better than most liquid alternatives.” – Nicholas Colas, co-founder with Jessica Rabe of DataTrek Research

TOPICS

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Rates on high-yield savings accounts are still high, with some offering up to 5%. If you plan to take advantage of high interest rates this year, you might be wondering if your high-yield savings account interest is taxable.

The answer is yes, but these types of accounts can offer the potential for significant savings, so don’t let that discourage you from opening one.

Here’s what you need to know.

High-yeld savings vs. regular savings 

Before diving into an explanation of how interest income from your savings account is taxed, it’s good to know the difference between a regular savings account and a high-yield savings or high-interest savings account.

But because you are earning more interest income from a high-yield savings account, the amount that is subject to tax is typically greater.

However, you are also earning more money on your savings in what is usually an FDIC-insured account. So consider the pros and cons of having some of your money in a high-yield savings account.

How savings account interest is taxed 

While you won’t owe taxes on the principal account balance in your savings account, any savings account interest earned is considered taxable income.

The IRS taxes interest from high-yield savings accounts (and traditional interest-bearing savings accounts) at the same rate they tax other income (e.g., from your job). Any money you accumulate in interest is added to your other taxable income.

There is some good news, though. Since the IRS adjusts federal income tax brackets each year for inflation, you could pay a lower tax rate for 2025 than you paid last year.

So, for example, let’s say that you earned $10,000 in interest income and your marginal tax rate is 22% based on your 2025 federal income tax bracket. Using that information, the tax on your savings account interest would generally be $2,200.

On the other hand, if you have $20,000 in your high-yield savings account and earn 3.75% interest, you would not be taxed on the $20,000, which is your savings account principal balance. Instead, you would only be taxed on the 3.75% you earned in interest.

Note: Some people might be subject to an additional tax called the Net Investment Income Tax (NIIT). NIIT is currently a 3.8% tax on capital gains, rental property income, and dividend income for filers with higher incomes.

Here are the federal marginal tax rates for the 2025 tax year (for taxes filed in early 2026).

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Tax Rate Single Head of Household Married Filing Jointly
10% Up to $11,925 Up to $17,000 Up to $23,850
12% $11,926 to $48,475 $17,001 to $64,850 $23,851 to $96,950
22% $48,476 to $103,350 $64,851 to $103,350 $96,951 to $206,700
24% $103,351 to $197,300 $103,351 to $197,300 $206,701 to $394,600
32% $197,301 to $250,525 $197,301 to $250,500 $394,601 to $501,050
35% $250,526 to $626,350 $250,501 to $626,350 $501,051 to $751,600
37% More than $626,350 More than $626,350 More than $751,600

How much savings account interest income is taxable?

All of your high-yield savings account interest is taxable. Your financial institution will send you a Form 1099-INT once you earn more than $10 in interest.

However, the IRS still requires that you report any savings interest earned, even if the amount you earn is under the ten-dollar threshold. You report savings account interest income on your tax return in the year it is earned.

Note: You might also need to pay income tax on interest earned at the state level. Most states consider interest from high-yield savings accounts taxable.

How to avoid tax on savings account interest 

You can’t avoid federal income tax on high-yield savings account interest — if you earn more than $10 — but it is possible to avoid tax on other types of savings accounts. However, avoiding tax may limit how you can spend your earnings. Here are a few ways a savings account can accrue interest tax-free.

Education Savings Account: Interest from Series EE or I bonds may not be taxable when used to pay for qualifying education expenses. Additionally, interest earned from a 529 savings plan may not be taxable when earnings are withdrawn to pay for qualified expenses.

Health Savings: A health savings account (HSA) can earn interest. This interest is tax-free (and so is the money you contribute) as long as you use it to pay for qualified health expenses. Just make sure you don’t exceed your HSA contribution limit. If you do, you could face penalties.

Retirement Savings: These plans can boost your savings, but there are pros and cons to 401(k)s and IRAs. Interest earned from a traditional IRA or 401(k) isn’t really tax-free, but you might avoid paying any taxes until later. Interest and contributions to these retirement accounts aren’t taxed until you make withdrawals.

Is having a high-yield savings account worth it? 

While paying taxes on earned interest is a downside to high-yield savings accounts, don’t let that discourage you from opening one. The positives may very well outweigh the negatives.

Now might be a good time to open a high-yield savings account. Although the Federal Reserve is coming down from a 23-year high, the federal funds rate is still comparable to last year.

And when federal interest rates are high, interest rates on high-yield savings accounts generally are, too. For example, the popular Apple savings account offers an APY of 4.25%, and some banks offer interest rates up to 5%.

A trusted tax professional or financial planner can help you determine whether a high-yield savings account is the right move for you this year. Also, check out Kiplinger’s coverage of the best high-yield savings accounts if you choose that route.

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It’s great being your own boss — until you have to wade through the alphabet soup of SEP IRAs and other retirement plans. Whether you’re a full-fledged small-business owner, have a side hustle or receive 1099’s as a freelancer or gig worker, there are several smart ways to save for retirement specifically designed for the self-employed.

Here’s a comparison of two popular self-employed retirement savings plans: the solo 401(k) and the SEP IRA. See which option is right for your business and retirement planning needs.

SEP IRAs: What is a SEP IRA and how much can you contribute?

A Simplified Employee Pension IRA (SEP IRA) is a retirement account for anyone who is self-employed, owns a business or earns freelance income. A big advantage for small businesses is the low overhead; SEP IRAs do not have the same start-up and operating costs as a conventional retirement plan.

SEP IRAs are available for a variety of small-business types, including sole proprietorships, partnerships, limited liability companies, S corporations and C corporations. You don’t even technically need to have an established business to open a SEP IRA. Anyone who has self-employed income can open a SEP IRA, including freelancers and gig workers who aren’t considered employees.

Who can contribute: An eligible employee, including a self-employed person, is an individual who meets all the following requirements: has reached age 21, has worked for the employer in at least three of the last five years and received at least $750 in compensation. The rules are the same for 2024 and 2025.

Maximum Contribution: The maximum amount an employer or self-employed person can contribute to a SEP IRA for 2024 is the lesser of $69,000, or up to 25% of compensation or net self-employment earnings, with a $345,000 limit on compensation that can be used to factor the contribution. In 2025, these limits increase to $70,000 and $350,000 respectively.

Contribution deadline: Contributions must be made by the tax filing deadline or extension of the employer’s return.

How to open a SEP IRA: A SEP IRA can be opened at many online brokers. You can set up a SEP for a year as late as the due date (including extensions) of your business income tax return for the year you want to establish the plan. You can establish and fund a plan for tax year 2024 up until your income tax filing deadline including extensions.

Tax treatment. Contributions are tax-deductible, including those made to employee accounts. You can deduct the lesser of your contributions or 25% of compensation, subject to the compensation cap ($345,000 in 2024 and $350,000 in 2025). If you’re self-employed, your deduction is capped at 25% of your net self-employment income.

Calculating contribution limits for a SEP IRA plan

If the IRS considers the employees eligible to participate in the plan, an employer must contribute on their behalf, and those contributions must be an equal percentage of compensation to their own. This rule requiring equal contributions as a percentage of compensation is why a SEP IRA is generally best for self-employed people or small-business owners with few or no employees.

For 2024, employer contributions to an employee’s SEP-IRA cannot exceed the lesser of $69,000 or 25% of the employee’s compensation or net self-employment earnings, with a $345,000 limit on compensation that can be used to factor in the contribution. In this context, net self-employment income is net profit less half of your self-employment taxes paid and your SEP contribution. In 2025, the contribution limit and limit on compensation both rise by $5,000 increasing to $70,000 and $350,000 respectively.

Elective salary deferrals and catch-up contributions are not permitted in SEP plans.

Solo 401(k): What is a solo 401(k) and how much can you contribute? 

One may be the loneliest number, but it can pay off with a solo 401(k); it is similar to a standard 401(k) except that you are the only person in the plan, with some exceptions.

A one-participant 401(k) plan is sometimes called a solo 401(k), solo-k, uni-k or a one-participant k. This plan isn’t new and it has the same rules and requirements as any other 401(k) plan. What is different is that this 401(k) plan covers a business owner with no employees, or that person and his/her spouse.

Who can contribute: A self-employed business owner with no employees or a gig worker participating in an employer’s 401(k) who also has a side business.

Maximum Contribution: The maximum amount a self-employed individual can contribute to a solo 401(k) for 2024 (not counting catch-up contributions for those age 50 and over) is $69,000 for 2024 and $70,000 in 2025. Individuals 50 and older can add an extra $7,500 per year in “catch-up” contributions, bringing the total to $76,500 in 2024 and $77,500 in 2025. Whether you’re permitted to contribute the maximum, though, will be determined by your self-employment income.

In 2025, people ages 60 to 63 have a higher catch-up contribution limit of $11,250 bringing the possible maximum contribution to $81,250.

Contribution deadline: Contributions must be made by the tax filing deadline or extension of the employer’s return.

How to open a solo 401(k): A solo 401(k) can be opened through most online brokers and requires a valid Employer Identification Number (EIN). Once the plan balance is $250,000 or more, you must file an annual report on Form 5500-SF with the IRS at the end of a given year.

Calculating contribution limits in a one-participant 401(k) plan

Business owners can legally ‘double-dip’ and make contributions as an employee and employer to a solo 401(k) plan. The owner can contribute both elective deferrals and the employee nonelective contribution to their solo 401(k).

Computing the limit for nonelective contributions is simple. When figuring the contribution limit, compensation is your “earned income,” which is defined as net earnings from self-employment after deducting both one-half of your self-employment tax and contributions for yourself.

The limit on compensation that can be used to factor your contribution is $345,000 in 2024 and $350,000 in 2025.

SEP IRA vs. solo 401(k) — which is better?

At first glance, these plans may seem similar. But dig down into the weeds, and you’ll find differences that could add up over the years. The solo 401(k) plan might be a better fit for side hustlers or part-time gig workers since you can borrow from the plan if you get in a jam, you can save at a faster rate, and you can invest in a company’s 401(k) plan if you also have a regular job. On the other hand, if there’s any possibility you might hire an employee, a SEP IRA is a better bet.

Why a SEP IRA may be the better choice:

Easier to administer: SEP IRAs have the same contribution limits but no annual reporting to the IRS.

Flexibility: You don’t have to commit to contributing every year. You can reduce contributions in lean years and increase contributions when profits are up.

Optional Roth feature is allowed. The Secure Act 2.0 allows employers to offer a Roth feature but is not required to do so. You are now able to designate Roth treatment to SEP contributions. This change is recent and there are still many issues that need clarification.

Why a solo 401(k) may be the better choice:

Self-employed people may be able to save more in a solo 401(k) than they can in a SEP IRA. Solo 401(k)s let you make both employee and employer contributions, meaning you can contribute up to $23,000 for 2024 and $23,500 (or $30,500 if you’re 50 or older in 2024 and $31,000 in 2025) as an employee, even if that is 100% of your self-employed earnings for the year, and you can also contribute 20% of your net self-employment income. Your total contributions can’t exceed your self-employment income for the year, up to a total of $69,000 for both types of contributions or $76,500 if age 50 or older in 2024 and those limits increase to $70,000 and $77,500

In 2025, people ages 60 to 63 have a higher catch-up contribution limit of $11,250 bringing the possible maximum contribution to $81,250.

Maximize your savings opportunities: If you work for a company with a retirement plan and have a freelance income, contribute to both. But keep in mind that if you’re side-gigging, employee 401(k) limits apply by person, rather than by plan. That means if you’re also participating in a 401(k) at your day job, the limit applies to contributions across all plans, not each individual plan.

Tax advantages: You can opt for the traditional 401(k), and take a deduction for contributions and reduce your income. The alternative is the Roth solo 401(k), which offers no initial tax break but allows you to take distributions in retirement tax-free.

Choosing between a traditional or Roth solo 401(k) is part guess work. In general, a Roth is a better option if you expect your income to be higher in retirement and/or you expect tax liability to be higher in the future. You should take the deduction now if you think your income will go down in retirement, or you expect tax liabilities to remain the same or lower.

Don’t forget to factor in how your income in retirement will impact if you are subject to the income related monthly adjustment amount (IRMAA) for Medicare Parts B and D. Distributions from Roth accounts are generally not considered taxable income and don’t affect your IRMAA liability.

Spousal exception to the no employee rule: A spouse can be added to the solo 401k plan whether they act as a W-2 employee, or an owner in the business. This effectively doubles your solo 401k contribution limits for your household. Your spouse can either open their own solo 401k plan separate from yours, or get added to your existing plan with separate bank and brokerage accounts.

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SEP IRA vs. Solo 401(k)
SEP IRA- Pros Solo 401(k)- Pros SEP IRA- Cons Solo 401(k)-Cons
Pro: Easy to set up and administer Pro: No age or income restrictions, but must be a business owner with no employees Con No catch-up contribution for savers 50 or older Con: “No employee” requirement may not be viable as your business grows
Pro: New Roth contributions (optional) Pro: Additional catch-up contribution of $7,500 for those 50 or older New Pro: Additional catch-up contribution of $11,250 for those aged 60-63 Con Required proportional contributions for each eligible employee if you contribute for yourself Con: Contributions must be “Substantial and recurring” this means you must make contributions somewhat regularly for the account to remain active
Pro: You don’t have to commit to contributing every year Pro: Can contribute in your capacity as an employee and an employer (elected deferral) Con: Elective salary deferrals and catch-up contributions are not permitted in SEP plans Row 2 – Cell 3
Row 3 – Cell 0 Pro: Can add your spouse if they are an employee or part owner Row 3 – Cell 2 Row 3 – Cell 3

Bottom line

You can’t go wrong investing in a SEP IRA or solo 401(k). They both offer tax-deferred growth and an opportunity to make Roth contributions. Contribution limits for both types of accounts are generous and neither creates a large administrative burden.

The solo 401(k) would be my choice if I had no employees. The ability to make catch-up contributions gives this account a higher contribution limit and you can add your spouse, if their participation meets IRS requirements, and double your maximum contributions.

A SEP IRA has many of the great features of a solo 401(k) and allows employees to participate making it a great option for small business owners. The ability to lower or forgo contributions when profits are down gives an employer more flexibility to respond to market conditions.

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While the past cannot guarantee future outcomes, it remains our most reliable resource for understanding market behavior. Previously, I outlined how Monte Carlo simulations can be used to estimate these probabilities. But relying solely on one method is limiting. Diversifying the ways we calculate probabilities adds robustness to the analysis.

 

In this article, I will delve deeply into three additional methods for calculating probabilities: Hidden Markov Models (HMM), seasonality-based probabilities, and implied probabilities derived from options prices. Each method has distinct advantages and complements the Monte Carlo approach, providing a comprehensive framework for assessing Credit Put Spreads.

 

 

1. Hidden Markov Models (HMM): Unveiling Hidden Market Dynamics

Hidden Markov Models (HMM) are a sophisticated machine learning technique designed to analyze time-series data. They operate on the assumption that observed data (e.g., ticker prices) are generated by an underlying set of “hidden states” that cannot be directly observed. These states represent distinct market conditions, such as bullish trends, bearish trends, or periods of low volatility.

 

How HMM Works

  1. Defining Observations and States:
    • The observed data in this context are the historical closing prices of the ticker.
    • The hidden states are abstract conditions influencing price movements. For example:
      • State 1 (Bullish): Higher probabilities of upward price movements.
      • State 2 (Bearish): Higher probabilities of downward price movements.
      • State 3 (Neutral): Limited price movement or consolidation.
         
  2. Training the Model:
    • The HMM is trained on historical price data to learn the transition probabilities between states and the likelihood of observing specific price changes within each state.
    • For example, the model might learn that a bullish state is likely to transition to a neutral state 30% of the time, and remain bullish 70% of the time.
       
  3. Making Predictions:
    • Once trained, the HMM can estimate the current state of the market and use this information to predict future price movements.
    • It calculates the probability of the ticker being above a specific threshold on a given date by analyzing likely state transitions and their associated price changes.
       

Advantages of HMM in Options Trading

  • Pattern Recognition: HMM excels at identifying non-linear patterns in price movements, which are often overlooked by simpler models.
  • Dynamic Analysis: Unlike static models, HMM adapts to changing market conditions by incorporating state transitions.
  • Probability Estimation: For a Credit Put Spread, HMM provides a probabilistic measure of whether the underlying will remain above the short strike based on historical market behavior.

By capturing hidden dynamics, HMM offers a more nuanced view of market probabilities, making it a valuable tool for assessing risk and reward in Credit Put Spreads.

 


2. Seasonality-Based Probabilities: Unlocking Historical Patterns

Seasonality refers to recurring patterns in price movements influenced by factors such as economic cycles, investor behavior, or external events. In options trading, seasonality-based probabilities quantify how often a ticker’s price has exceeded a certain percentage of its current value over a specific time horizon.


How to Calculate Seasonality-Based Probabilities

  1. Define the Threshold:
    • The threshold is expressed as a percentage relative to the current price (e.g., -2%, +0%, +2%). This normalization ensures the probability calculation is independent of the absolute price level.
       
  2. Analyze Historical Data:
    • For a given holding period (e.g., 30 days), calculate the percentage change in price for each historical observation.
    • Example: If the current price is $100, and the threshold is +2%, count how often the price exceeded $102 after 30 days in the historical data.
       
  3. Aggregate the Results:
    • Divide the number of times the threshold was exceeded by the total number of observations to calculate the probability.
    • Example: If the price exceeded the threshold in 70 out of 100 instances, the probability is 70%.
       

Applications in Credit Put Spreads

Seasonality-based probabilities answer the question: “In similar conditions, how often has this ticker remained above the breakeven?” This approach is particularly useful for ETFs, which often exhibit more predictable patterns than individual stocks. For example, certain sectors might perform better during specific times of the year, providing an additional layer of insight.
 

Limitations to Consider

  • Seasonality probabilities rely entirely on historical data and assume that past patterns will persist. While this is often true for ETFs, it may be less reliable for individual stocks or during periods of market disruption.
 


3. Implied Probabilities from Options Prices: Extracting Market Sentiment

Options prices are more than just numbers; they encapsulate the collective beliefs of market participants about future price movements. By analyzing the prices of puts and calls across various strikes for a given expiration date, we can derive the implied probabilities of the ticker being in specific price ranges.
 

Steps to Calculate Implied Probabilities

  1. Collect Options Data:
    • Obtain the bid-ask prices for puts and calls at different strike prices for the desired expiration date.
  2. Calculate Implied Volatility:
    • Use the options prices to derive the implied volatility (IV) for each strike. IV reflects the market’s expectations of future price volatility.
  3. Estimate Probabilities:
    • For each strike, calculate the probability of the ticker being at or above that level by using IV and the Black-Scholes model (or similar methods).
    • The probabilities are then aggregated to construct a distribution of expected prices at expiration.
       

Why Implied Probabilities Matter

  • Market Consensus: Implied probabilities reflect what the market “thinks” about the future, offering a forward-looking perspective.
  • Dynamic Adjustments: Unlike historical methods, implied probabilities adapt in real-time to changes in market sentiment, such as news events or macroeconomic data.
     

Application to Credit Put Spreads

For a Credit Put Spread, implied probabilities can answer questions such as: “What is the market-implied likelihood that the ticker will remain above the short strike?” This insight helps traders align their strategies with prevailing market sentiment.


Conclusion

By integrating these three methods—Hidden Markov Models, seasonality-based probabilities, and implied probabilities from options prices—into my existing Monte Carlo framework, I’ve developed a robust system for evaluating Credit Put Spreads. This approach enables a comprehensive analysis of Out-of-the-Money (OTM) Credit Put Spreads among a selection of ETFs, filtering for:

  • Gain/loss ratios within specific thresholds,
  • Expiration dates within a defined range,
  • A minimum credit of $0.50.
     

The result is what I like to call a “stellar map” of selected spreads:

image.png

 

accompanied by a summary table:

image.png

These tools provide clarity and actionable insights, helping traders identify the best trades—those offering the highest probability of success while maximizing potential returns relative to risk.
 

Looking ahead, the next step will involve calculating the expected value ($EV) of these trades, combining probabilities and potential outcomes to further refine the selection process.


The ultimate goal remains the same: to stack the odds in our favor—not by predicting exact prices, but by estimating probabilities with precision and rigor.


Stay tuned as I continue refining these methods and expanding their applications! 

Performance Dissected

Check out the Performance page to see the full results. Please note that those results are based on real fills, not hypothetical performance, and exclude commissions, so your actual results will be lower, depending on the broker and number of trades. Please read 2024 Year End Performance By Trade Type for full analysis of our 2024 performance. We have extensive discussions about brokers and commissions on the Forum (like this one) and help members to select the best broker. 

The 116% annual return was pretty typical, compared to our long term averages. We are very pleased with this return. We continue delivering the most consistent and stable performance 13 years in a row! It’s nice to call a 116% return “typical”. And the beauty of our trading philosophy is having different strategies in our model portfolio that compliment each other.   

As I mentioned in one of the discussion topics, our performance reporting is very conservative. We rarely have more than 5 trades open at the same time, but with 5 trades open, you are basically only 50% invested. If you made 10% on the invested capital, we would report as 5% return on the total account. No service is doing it, but this is the only correct way to do it. But it also means that members can invest more than 10% per trade on trades that are more conservative and more liquid. Also there are tons of unofficial trades that don’t make it to the official portfolio due to their size.being too large for 10k portfolio. If we reported performance like most other services do (return on investment and not on the whole portfolio), our reported performance would be 300%+. More details: How We Calculate Returns?

Thank you again to everyone for their support, and of course special thanks to our contributors @Yowster @krisbee @TrustyJules @cwelsh and @Romuald

After 13 years in business, SteadyOptions maintains its position as the most stable and consistent options trading service, with 128.8% Compounded Annual Growth Rate. We proved again that we can make money in any market. As one of our members mentioned:

“I would rate the 3% profit for March 2020 as even MORE successful than the 25% profits for Jan/Feb. If someone can make a profit in a month when there was total carnage in the markets, then that shows resilience and security in the trading strategies. It shows that even during a black swan event, the system works, and the account will not be blown.”

Our strategies

SteadyOptions uses a mix of non-directional strategies: earnings plays, Long Straddle, Long Strangle, Calendar Spread, Bitterly, Iron Condor, etc. We constantly adding new strategies to our arsenal, based on different market conditions. SO model portfolio is not designed for speculative trades although we might do some in the speculative forum. SO is not a get-rich-quick-without-efforts kind of newsletter. I’m a big fan of the “slow and steady” approach. We aim for many singles instead of a few homeruns. My first goal is capital preservation instead of doubling your account. Think about the risk first. If you take care of the risk, the profits will come.
 

What makes SO different?

We use a total portfolio approach for performance reporting. This approach reflects the growth of the entire account, not just what was at risk. We balance the portfolio in terms of options Greeks. SteadyOptions provides a complete portfolio solution. We trade a variety of non-directional strategies balancing each other. You can allocate 60-70% of your options account to our strategies and still sleep well at night. 

 

Our performance is based on real fills. Each trade alert comes with a screenshot of our broker fills. We put our money where our mouth is. Our performance reporting is completely transparent. All trades are listed on the performance page, with the exact entry/exit dates and P/L percentage.

 

It is not a coincidence that SteadyOptions is ranked #1 out of 723 Newsletters on Investimonials, a financial product review site. The reviewers especially mention our honesty and transparency, and also tremendous value of our trading community.

 

We place a lot of emphasis on options education. There is a dedicated forum where every trade is discussed before the trade is placed. We discuss different strategies and potential trades. Unlike most other services that just send the trade alerts, our members understand the rationale behind the trades and not just blindly follow the alerts. SO actually helps members to become better traders.

 

Other services

In addition to SteadyOptions, we offer the following services:

  • Anchor Trades – Stocks/ETFs hedged with options for conservative long term investors. 
     
  • Simple Spreads – simple spread strategies like diagonal spreads and vertical spreads.
     
  • Steady Collars – our version of lower risk collar trades
     
  • SteadyVIX – Volatility based trades.
     
  • SteadyYields – Treasures trading

We offer all services bundle at $3,100 per year. This represents up to 63% discount compared to individual services rates and you will be grandfathered at this rate as long as you keep your subscription active. Details on the subscription page. More bundles are available – click here for details. You can also get the yearly bundle with one month trial at $100.

Subscribing to all services provides excellent diversification since those services have low correlation. 


We also offer Managed Accounts for Anchor Trades.
 

Summary

2024 was another excellent year for our members. We are very pleased with our performance.

SteadyOptions is now 11 years old. We’ve come a long way since we started. We are now recognized as:

  • #1 Ranked Newsletter on Investimonials
  • Top Rated Newsletter on Stockgumshoe
  • Steady Options Review: In-Depth Analysis
  • Top 10 Option Trading Blogs by Options Trading IQ
  • Top 4 Options Newsletters by Benzinga
  • Top 40 Options Trading Blogs by Feedspot
  • Top 15 Trading Forums by Feedspot
  • Top 20 Trading Forums by Robust Trader
  • Top Twitter Accounts to Follow by Options Trading IQ

I see the community as the best part of our service. We have the best and most engaged options trading community in the world. We now have over 10,000 registered members from over 50 counties. Our members posted over 190,000 posts in the last 13 years. Those facts show you the tremendous added value of our trading community.
 

I want to thank each of you who’ve joined us and supported us. We continue to strive to be the best community of options traders and continuously improve and enhance our services.


Let me finish with my favorite quote from Michael Covel:

 

“Profits come in bunches. The trick when going sideways between home runs is not to lose too much in between.”

 

If you are not a member and interested to join, you can click here to join our winning team. When you join SteadyOptions, we will share with you all we know about options. We will never try to sell you any additional “proprietary systems”, training, webinars etc. All our “secrets” are included in your monthly fee.

1. Bitcoin (BTC)

Bitcoin was the first ever cryptocurrency (established in 2009 by Satoshi Nakamoto) and it is currently the world’s most valuable. It is the coin most people think of when they think of crypto trading. Therefore, it’s no surprise that it’s also the most popularly traded coin. Bitcoin famously went through a boom in the 2010s, which resulted in many early investors getting rich. While many people continue to buy Bitcoin as an investment asset, it is also widely accepted as a currency and used to buy many products and services (more so than other cryptocurrencies). Companies ranging from Uber Eats to Adidas now accept Bitcoin payments.

 

2. Ether (ETH)

Ether is the second most popular cryptocurrency. It was introduced in 2015 and is traded on the Ethereum blockchain. Trading Ether is faster and more environmentally-friendly than Bitcoin, however there are added fees involved when trading Ether known as ‘gas fees’. These gas fees are paid to crypto miners and cover the cost of running the network. The price of gas fees is constantly changing, however you can track these fees using the likes of this ETH gas tracker. While not as commonly used as a currency as Bitcoin, it’s worth noting that Ethereum supports smart contracts, which makes it attractive to many businesses. 

 

3. Tether (USDT)

Tether was introduced in 2014 as a ‘stablecoin’ that has a fixed value equal to the US dollar. Stablecoins like Tether are less volatile than regular cryptocurrencies, and are therefore seen as less risky. Because of this low risk, Tether is the third most popularly-traded cryptocurrency in the world. It is becoming a more popular cryptocurrency for buying products and services, as well as being a popular option among investors. There are many other stablecoins that can also be looked into for those wanting a low-risk option. 

 

4. Solana (SOL)

Solana was founded in 2017 and is the fourth most popular cryptocurrency. Its creator Anatoly Yakovenko introduced a proof of history system when developing the Solana blockchain that allowed this cryptocurrency to be traded much faster than both Bitcoin and Ethereum. As well as being fast, Solana transactions are relatively affordable. Because of this, it is a very attractive cryptocurrency among traders. 

 

5. Binance Coin (BNB)

Binance Coin, which is more commonly known as BNB, was created in 2017. It is used to pay transaction fees on Binance.com, which is a popular cryptocurrency exchange. An increasing number of merchants have begun to accept BNB ranging from Shopify to Expedia. This is due to the fact that you get discounts on trading fees when you use this currency to pay for products and services. This has helped it to become the fifth most popularly traded cryptocurrency. This post delves more into the benefits of investing in BNB. 

 

6. XRP (XRP)

XRP was introduced in 2012 – making it one of the longest-running cryptocurrencies alongside Bitcoin. A company named Ripple is one of the main users of this currency and offers payment solutions to businesses that use XRP. Because of this XRP is sometimes referred to as ‘Ripple’ by crypto traders, however the currency is not controlled by this company. Other than being well-established, there are many benefits to using XRP that have helped it to become the sixth most popular cryptocurrency. It has very low transaction fees and takes seconds to trade. XRP also does not need to be mined, making it one of the most environmentally-friendly cryptocurrencies. 

 

7. Dogecoin (DOGE)

Dogecoin was created in 2013 as a joke. It was inspired by the Shiba Inu dog meme and is regarded as the first ‘meme coin’. Although created as a parody, Dogecoin attracted many traders for its silly premise and consequently turned into a wildly successful cryptocurrency – the 7th most popular in the world! Dogecoin has been used to fund many charity projects and business projects over the years including a SpaceX mission in 2021 and motorsports events. Since its boom, many other meme coins have been created and a lot of them have also become very popular. However, Dogecoin still remains the most popular meme coin, with a dedicated online community continuing to promote its use around the world. 

This is a contributed post.

 

In this article, I’ll introduce Monte Carlo simulations, explain their relevance in trading, and describe a specific options trading strategy I’ve developed using these simulations. I’ll also share backtested results to illustrate the strategy’s effectiveness.
 

1. What Are Monte Carlo Simulations?

Monte Carlo simulations are a computational technique used to model the probability of different outcomes in a process that cannot easily be predicted due to the presence of random variables. Named after the famed casino, these simulations are especially useful in finance because they allow for the analysis of uncertainty and risk.
 

The process involves running thousands or even millions of simulations based on historical price movements, where each simulation projects a possible future outcome. The resulting distribution provides traders with probabilities of price ranges over a given time horizon.
 

2. How Are Monte Carlo Simulations Applied in Trading?

In trading, Monte Carlo simulations help to anticipate how a financial instrument, such as an ETF like SPY or QQQ, might behave over a future period. The process looks back over several years of historical price data and runs numerous simulations to project future price distributions. The outputs typically show a probability distribution of future prices, highlighting key metrics such as confidence intervals.Here is an example for SPY:
 

image.thumb.png.9260abff4362ec74931bec8731c7d2fb.png

These simulations are invaluable for options traders because they offer insights into the probability that a stock or ETF will remain within above/below price bounds over a specific time frame. This information helps to craft structured options strategies, like Credit Put Spreads, which profit when an asset stays above a price threshold.
 

3. Example for a Credit Put Spread

Here for example is the result of 10,000 simulations carried out on SPY for a prediction of the movement in 15 days by asking the algorithm to calculate what percentage of data is above the $565 threshold. For example if we consider that this value is a support or that this value would be the break even of a Credit Put Spread strategy that we would have implemented. 
 

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We see that there is a probability of 77% that the ticker is above this threshold value.
 

Recall that Monte Carlo simulations observe the past behavior of the ticker over many years, day after day, deduce a statistical distribution and perform random shots oriented like this statistical distribution in order to capture the pseudo-random nature of the market. It will be necessary to see how these predictions have come true in the past.
 

Note that to account for the historical distribution of a ticker, we need to adjust the Monte Carlo simulation approach in the code. Rather than assuming a normal distribution for price movements, I model price changes based on the actual historical distribution of returns. This technique, often called bootstrapping, samples historical returns directly instead of generating synthetic returns based on a fixed normal distribution.


This is then the kind of plot we get :

image.thumb.png.75321f45998da807cb62adfc4d6a4910.png
 

4. The Strategy: Using Monte Carlo Simulations for Options Trading

Using the break evens of an Iron Condor as threshold values is not interesting because the simulations showed that credits received on the Call part were not sufficient. 
 

So let’s focus on the Put part via Credit Put Spreads. For a given ETF (we will leave out stocks because of the earnings), there are many expiration dates and many strikes, each with their own price. Which ETF to choose, which strikes to buy and sell and which expiration dates? 


For this, the program I wrote scans the most important ETFs, [‘SPY’,’GLD’,’QQQ’,’IWM’,’EEM’], all their expiration dates between two numbers of days [min_days = 30 max_days = 120] and all strikes below the OTM strike that can form a Credit Put Spread. A point is thus given by, for example, [SPY, 2024-11-15, put bought=$577, put sold=$582]. 


For each point, the code then performs 10,000 Monte Carlo simulations, looking back 20 years and calculating the probability that the SPY close will be higher than the break even in 29 days (=number of days remaining between now and the expiration date). Then, the program displays all the points in the form of a graph with, on the abscissa, the perceived credit and on the ordinate, the Monte Carlo probability. Credit > $0.50 and gain/loss ratio above 40% are only selected.
 

The graph is divided into 4 quadrants, the one of most interest to us being the northeast quadrant (maximum credit and maximum probability). The program then detects the two points which, in this quadrant, have the highest probability or the highest credit.
 

Here is an example of display:
 

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4. Backtesting Results

To validate this strategy, we performed backtests using historical data for the past 15 years. The idea was to simulate what would have happened if this strategy had been applied in the past with the break even corresponding to the probability computed in the chosen point. 
 

To use the example here above with the maximum credit,the backtest would answer this question: for the ticker QQQ at the expiration date of 2024-12-31 (corresponding to 74 days from now, the date of writing this article), the Monte Carlo simulations tell me that the Close of QQQ has a probability of 64.82% of being higher than the strategy’s break even. If I had applied this strategy 15 years in the past from now, day after day with the Break Even at that time corresponding to this quantile, would the real value of QQQ have indeed been higher than this Break Even? And if so, how many times has it worked between 15 years ago and now, day after day?
 

To be more specific, during the backtest the algorithm displays the results of the step-by-step backtests very clearly:
 

Example of a screenshot during the backtest:

image.png.ab0bd2f2f41917952468d4247a22400e.png

and the plot of the histogram to prove the consistency of the threshold value:
 

image.thumb.png.71775e4bdaf1a8321127ba02bd84409e.png

This systematic approach, with precise risk management, provides traders with a powerful tool to make informed decisions about structuring options trades. It’s worth noting that the performance of each strategy can vary depending on market conditions, so consistent backtesting is key to keeping the strategy profitable in evolving markets.
 

The final result of the backtest, for that strategy, is:

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This means that backtests give better results (83.64% win rate) than the probabilities announced by Monte Carlo simulations (64.82%) and the trade could be opened.
 

Conclusion

Monte Carlo simulations offer a scientific and data-driven way to project future price ranges in the often unpredictable world of trading. By applying these simulations, we can develop strategies that aim to capture value by accurately predicting price movements within specific time horizons. The backtests show that using this method, especially for long-term options strategies like Iron Condors, can significantly improve the likelihood of success.
 

This approach complements other options strategies and provides a robust framework for structuring trades with a high probability of profit, while carefully managing risk.

 

As is always the case, though, there is some flipside to that risk. When they go well, crypto trades enjoy benefits including the potential for highly profitable market swings and increasingly relevant inflation protection. 
 

For the traders who enjoy crypto success, risk management is key. But, how exactly do you manage risk in one of the highest-risk areas of today’s trading world? Keep on reading to find out.
 

The High-Risk Nature of Crypto Trading

Before we begin to understand risk management within crypto trades, it’s important to consider why cryptocurrencies are considered so high-risk in the first place. Truthfully, there are various reasons for this, with recent studies providing particularly damning evidence that, in a general sense, crypto’s high risk may not justify its reward. 
 

By far the prime reason for this high-risk tarnishing is simply the volatility we continue to see across cryptocurrencies. Few other financial areas are liable to fluctuate this much, making it difficult to accurately foresee volatility, or make wise investment choices. Along a similar vein, there are also market concerns about the long-term worth of crypto investments, which may not maintain their worth across long-standing portfolios. 

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Picture Credit: CC0 Licence

 

Cryptocurrency Trading: The Benefits

If the situation for crypto trading is so bleak, why are high-profile investors still spending energy here? Because, for all that crypto’s risks are undeniable, many would disagree that crypto’s risks fail to justify themselves.

While current crypto markets generally aren’t the high-value areas they were at their dizzying heights a few years ago, crypto investment still opens the doors for benefits that, as well as potentially high earnings and protection from inflation, include diversification from traditional assets, high liquidity, and generally low transfer costs. 
 

Risk Management in a Cryptocurrency World

So, is risk management really possible in a world of cryptocurrency trades? Annoyingly, the simple answer is that it varies a great deal depending on your trade choices. However, there are some industry-standard ways to keep your crypto trades as secure as possible, and we’ll consider them here. 
 

# 1 – Delve into Diversification

Diverse trading portfolios are always the answer to avoiding big trade losses. Luckily, cryptocurrencies in themselves prove useful in this sense, allowing you to more easily diversify from things like cash trades. Taking things further, it’s also worth diversifying your crypto portfolio itself to cover a range of cryptocurrencies and traders. It’s particularly worthwhile to consider how those cryptocurrencies correlate, including each asset’s risk-return rates. This way, you can always ensure you’re off-setting more risky crypto investments like Crypto All-Stars, with cryptocurrencies that are more likely to maintain a stable price point, such as Tether (USDT). This ensures that, even if you do lose, you’re also more likely to win elsewhere in your portfolio. 
 

# 2 – Conduct Technical Analysis

Technical analysis (TA) is the process of studying the historical movements of a cryptocurrency to predict what it might do in the future. Popular technical indicators include moving averages, which use graphs to determine stock resistance levels, and relative strength indexes, which chart the historical strengths and weaknesses of a stock based on its past closing prices. There are also now plenty of risk management tools, including risk calculators that can conduct TA based on things like stock leverage and position size. All of which could lead to more informed, and hopefully more stable, crypto investments overall. 
 

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Picture Credit: CC0 Licence


# 3 – Use Stop Loss Orders

You don’t need to be a crypto genius to appreciate the value of stop-loss orders in trade risk management. By ensuring that a security automatically sells once it reaches a specified level, stop-loss orders are always useful in the trading world. And, they’re particularly useful on highly volatile stocks like cryptocurrencies. 
 

To avoid issues like accidental early exits, simply make sure that you never place stop loss orders too close to the current market value of a crypto investment. Remember, cryptocurrencies will always fluctuate, sometimes to extreme degrees. Instead, optimize your stop losses by considering things like historic market volatility, and the strength of your portfolio more generally. 
 

Takeaway

You can never take the risk out of crypto trading, but you can save yourself from losing big money when you put these essential crypto-based risk management must-haves in place. 

This is a contributed post.