The Black Scholes Model, Explained

The Black-Scholes Model, Explained

The Black-Scholes option pricing model is a mathematical formula used to calculate the theoretical price of an option. It’s a commonly-used formula for determining the price of contracts, and as such, can be useful for investors in the options market to know and have in their pocket for use.

But there are some important things to know about it, such as the fact that the model only applies to European options, and more.

Key Points

•   The Black-Scholes model is a mathematical formula used to calculate the theoretical price of an option.

•   It is commonly used for pricing options contracts and helps investors determine the value of options they’re considering trading.

•   The model takes into account factors like the option’s strike price, time until expiration, underlying stock price, interest rates, and volatility.

•   The Black-Scholes model was created by Myron Scholes and Fischer Black in 1973 and is also known as the Black-Scholes-Merton model.

•   While the model has some assumptions and limitations, it is considered an important tool for European options traders.

What Is the Black-Scholes Model?

As mentioned, the Black-Scholes model is one of the most commonly used formulas for pricing options contracts. The model, also known as the Black-Scholes formula, allows investors to determine the value of options they’re considering trading.

The formula takes into account several important factors affecting options in an attempt to arrive at a fair market price for the derivative. The Black-Scholes options pricing model only applies to European options.

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The History of the Black-Scholes Model

The Black-Scholes model gets its name from Myron Scholes and Fischer Black, who created the model in 1973. The model is sometimes called the Black-Scholes-Merton model, as Robert Merton also contributed to the model’s development. These three men were professors at the Massachusetts Institute of Technology (MIT) and University of Chicago.

The model functions as a differential equation that requires five inputs:

•   The option’s strike price

•   The amount of time until the option expires

•   The price of its underlying stock

•   Interest rates

•   Volatility

Modern computing power has made it easier to use this formula and made it more popular among those interested in stock options trading.

The model only works for European options, since American options allow contract holders to exercise at any time between the time of purchase and the expiration date. By contrast, European options come at cheaper prices and only allow the owner to exercise the option on the expiration date. So, while European options only offer a single opportunity to earn profits, American options offer multiple opportunities.

Recommended: American vs European Options: What’s the Difference?

What Does the Black-Scholes Model Tell?

The main goal of the Black-Scholes Formula is to determine the chances that an option will expire in the money. To this end, the model goes deeper than simply looking at the fact that a call option will increase when its underlying stock price rises and incorporates the impact of stock volatility.

The model looks at several variables, each of which impact the value of that option. Greater volatility, for example, could increase the odds the options will wind up being in the money before its expiration. The more time the investor has to exercise the option also increases the likelihood of it winding up in the money and lowers the present value of the exercise price. Interest rates also influence the price of the option, as higher rates make the option more expensive by decreasing the present value of the exercise price.

The Black-Scholes Formula

The Black-Scholes formula expresses the value of a call option by taking the current stock prices multiplied by a probability factor (D1) and subtracting the discounted exercise payment times a second probability factor (D2).

Explaining in exact detail what D1 and D2 represent can be difficult because the original research papers by Black and Scholes didn’t explain or interpret D1 and D2, and neither did the papers published by Merton. Entire research papers have been written on the subject of D1 and D2 alone.


💡 Quick Tip: If you’re an experienced investor and bullish about a stock, buying call options (rather than the stock itself) can allow you to take the same position, with less cash outlay. It is possible to lose money trading options, if the price moves against you.

Why Is the Black-Scholes Model Important?

The Black-Scholes option pricing model is so important that it once won the Nobel Prize in economics. Some even claim that this model is among the most important ideas in financial history.

Some traders consider the Black-Scholes Model one of the best methods for figuring out fair prices of European call options. Since its creation, many scholars have elaborated on and improved this formula. In this sense, Black and Scholes made a significant contribution to the academic world when it comes to math and finance.

Some claim that the Black-Scholes model has made a significant contribution to the efficiency of the options and stock markets. While designed for European options, the Black-Scholes Model can still help investors understand how an option’s price might react to its underlying stock price movements and improve their overall options trading strategies.

This allows investors to optimize their portfolios by hedging accordingly, making the overall markets more efficient. However, others assert that the model has increased volatility in the markets, as more investors constantly try to fine tune their trades according to the formula.

How Accurate Is the Black-Scholes Model?

Some studies have shown the Black-Scholes model to be highly predictive of options prices. This doesn’t mean the formula has no flaws, though.

The model tends to undervalue calls that are deeply in the money and overvalue calls that are deeply out of the money.

That means the model might assign an artificially low value to options that are much higher than the price of their underlying stock, while it may overvalue options that are far beneath the stock’s current value. Options that deal with stocks yielding a high dividend also tend to get mispriced by the model.

Assumptions of the Black-Scholes Model

There are also a few assumptions made by the model that can lead to less-than-perfect predictions. Some of these include:

•   The assumption that volatility and the risk- free rate within a stock remain constant

•   The assumption that stock prices are stable and large price swings don’t happen

•   The assumption that a stock doesn’t pay dividends until after an option expires

Recommended: How Do Dividends Work?

Such assumptions are necessary, even if they may negatively impact results. Relying on assumptions like these make the task possible, as only so many variables can reasonably be calculated.

Over the years, math scholars have elaborated on the work of Black and Scholes and made efforts to compensate for some of the gaps created by the original assumptions.

This leads to another flaw of the Black-Scholes model, unlike other inputs in the model, volatility must be an estimate rather than an objective fact. Interest rates and the amount of time left until the option expires are concrete numbers, while volatility has no direct numerical value.

The best a financial analyst can do is calculate an estimation of volatility by using something like the formula for variance. Variance is a measurement of the variability of an asset, or how much prices change from time to time. One common measurement of volatility is the standard deviation, which is equivalent to the square root of variance.

The Takeaway

The Black-Scholes option-pricing model is among the most influential mathematical formulas in modern financial history, and it may be the most accurate way to determine the value of a European call option. It’s a complicated formula that has some drawbacks that traders must understand, but it’s a useful tool for European options traders.

Given the Black-Scholes model’s complexity, it’s likely that many investors will never use it. That doesn’t mean it isn’t important to know or understand, of course, but many investors may not get much practical use out of it unless they delve deeper into the world of options trading.

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Options involve risks, including substantial risk of loss and the possibility an investor may lose the entire amount invested in a short period of time. Before an investor begins trading options they should familiarize themselves with the Characteristics and Risks of Standardized Options . Tax considerations with options transactions are unique, investors should consult with their tax advisor to understand the impact to their taxes.
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What Are the Different Types of Income?

What Are the Different Types of Income?

You may think of your income as being your paycheck or your freelance earnings, but there are actually many different types of income. If you have stocks that are generating dividends, that’s income, as is interest you earn on any savings accounts. Do you own a rental property that has rent payments flowing your way? That’s income, too.

Here, you’ll learn about seven common types of income and how they may affect your financial life.

Key Points

•   Income refers to money earned from labor, investments, or other sources, and can be categorized as earned, business, interest, dividend, rental, capital gains, or royalty income.

•   Earned income includes wages, salaries, tips, and bonuses, while business income is generated from products or services provided by a business.

•   Interest income is earned from interest-bearing financial vehicles like CDs or savings accounts, and dividend income comes from stock dividends.

•   Rental income is earned from property rentals, and capital gains are realized when selling assets for more than their purchase price.

•   Royalty income is earned from allowing others to use your property, such as patents or copyrighted work.

What Is Income?

Simply put, income is money that a person or business earns in return for labor, providing a product or service, or returns on investments. Individuals also often receive income from a pension, a government benefit, or a gift. Most income is taxable, but some is tax-exempt from federal or state taxes.

Another way to think about income types is whether it is active (or earned) or passive (or unearned).

•   Active or earned income is just what it sounds like: money that you work for, whether you are providing goods or a service.

•   Passive or unearned income is money you receive even though you are not actively doing anything to get it. For instance, if you have a certificate of deposit (CD) that earns you interest, that is passive income. Government benefits, capital gains, rental income, royalties, and more are also considered passive income. (We’ll go through these variations in more detail in a minute.)

People who are paid a salary may tend to think that their annual paycheck earnings are their income, but in truth, it’s common for many people to have multiple income streams. Granted, your salary may be by far the largest stream of income, but when considering your overall financial picture, don’t forget to think about the other ways that money comes to you.

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Different Types of Income

Now that you know the answer to “What is income?” question, here’s a look at the various kinds of Income. These are usually categorized as seven different types of income (though these may also be called income streams).

1. Earned Income

Earned income is the money you earn for work you do, either in a job or self-employed. Earned income includes wages, salaries, tips, and bonuses.

Earnings are taxed at varying rates by the federal and state governments. Taxes may be withheld by your employer. Self-employed workers often pay quarterly and annual taxes directly to the government. Low-income workers may be eligible for the earned income tax credit.

2. Business Income

Next up: What is business income? This is a term often used in tax reporting; you may sometimes also hear it referred to as profit income. It basically means income received for any products or services your business provides. It is usually considered ordinary income for tax purposes.

Expenses and losses associated with the business can be used to offset business income. Business income can be taxed under different rules, depending on what type of business structure is used, such as sole proprietorship, partnership, corporation, etc.

3. Interest Income

When you invest in various types of interest-bearing financial vehicles, the return is considered interest income. Retirees often rely on interest income to fund their retirement. You can earn interest from a variety of sources including:

•   Certificates of deposit (CDs)

•   Government bonds

•   Treasury bonds and notes

•   Treasury bills (T-bills)

•   Corporate bonds

•   Interest-bearing checking accounts

•   Savings accounts.

In most cases, interest income is taxed as ordinary income. Some types of interest are fully taxable, while other forms (such as interest from Treasury bonds) are sometimes partially taxable.

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4. Dividend Income

Some companies pay stockholders dividends as a way of sharing profits. These are usually regular cash payments that investors can take as income or reinvest in the stock. Dividend income is one of the most common ways investors can make money from stocks. (Worth noting: Money-market funds distributions may seem like interest, but they are usually considered dividends.)

Dividends from stocks held in a taxable brokerage account are considered taxable income. These funds will be taxed at your regular income-tax rate or as a long-term capital gain. By contrast, dividends that are paid from a stock held inside a tax-advantaged savings account such as an IRA or 401(k) are not taxed.

5. Rental Income

Just as it sounds, rental income is income earned from rental payments on property you own. This could be as straightforward as renting a room in your house or as complicated as owning a multi-unit building with several tenants.

Rental income can provide a steady stream of passive vs. active income. It may enhance your livelihood or even be your main income. When your rental property increases in value, you may also gain from that appreciation and increase in equity. In addition, rental income qualifies for several tax advantages, including taking depreciation and some expense write-offs.

But there are downsides. Owning a rental property isn’t for the faint of heart. Unreliable tenants, decreasing property values, the cost of maintaining and repairing properties, as well as fees for rental property managers can all take a bite out of your rental income stream.

6. Capital Gains

Another important income stream can come from capital gains. You incur a capital gain when you sell an asset for more than what you originally paid for it. For the purposes of capital gains, an asset usually means an investment security such as a stock or bond. But it can also encompass possessions such as real estate, vehicles, or boats. You calculate a capital gain by subtracting the price you paid from the sale price.

There is another key point to know on this topic: Two types of capital gains are possible — short-term and long-term.

•   Short-term capital gains are realized on assets you’ve held for one year or less.

•   Long-term capital gains are earned on assets held for more than a year.

The tax consequences are different for each type of capital gain. Short-term gains are taxed as ordinary income, while long-term capital gains are taxed at a lower rate depending on income. Taxpayers could typically pay 0%, 15%, or 20% on long-term capital gains, depending on their income.

Keep in mind, however, that capital losses can happen too. That’s when a capital asset is sold for less than the purchase price. While it’s never pleasant to experience losses, there can be a small silver lining in this case. Many times capital losses can be taken as a tax deduction against current and/or future capital gains.

7. Royalty Income

Royalty income comes from an agreement allowing someone to use your property. These payments can come from the use of patents, copyrighted work, franchises, and more. An example or two:

Inventors who sell their creations to a third party may receive royalties on the revenue their inventions generate. Celebrities often allow their name to be used to promote a product for royalty payments. Oil and gas companies pay landowners royalties to extract natural resources from their property. The market for music royalties has been particularly lucrative in recent years with the proliferation of music streaming services.
Royalty payments are often a percentage of the revenues earned from the other party using the property. Many things impact how much royalty is paid, including exclusivity, the competition, and market demand. How royalty payments are taxed can also vary, depending on the type of agreement.

Now that you’ve reviewed the seven different types of income, you may be wondering, “What about residual income?” That’s a term that doesn’t actually describe money that’s heading your way. Instead, think of that as the amount of your income left over after you’ve paid your financial obligations. It’s similar to discretionary income. Unfortunately, it’s not another way to enrich your bank account.

Recommended: 10 Personal Finance Basics

The Takeaway

Understanding the seven general income streams (such as earned, dividend, and rental income) can help you make the most of your financial planning. Earning income from any of these sources can add stability and help achieve long-term goals, such as saving for retirement. Because some types of income have unique tax implications, it can be important to check with your tax advisor about any tax consequences that may exist.

Aside from earned income, it’s likely that interest is the kind of income most people receive. And seeking out the best possible interest rate can be a solid way to enhance your money; looking for a high-yield bank account may be a good place to start.

Interested in opening an online bank account? When you sign up for a SoFi Checking and Savings account with direct deposit, you’ll get a competitive annual percentage yield (APY), pay zero account fees, and enjoy an array of rewards, such as access to the Allpoint Network of 55,000+ fee-free ATMs globally. Qualifying accounts can even access their paycheck up to two days early.


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SoFi members with direct deposit activity can earn 4.00% annual percentage yield (APY) on savings balances (including Vaults) and 0.50% APY on checking balances. Direct Deposit means a recurring deposit of regular income to an account holder’s SoFi Checking or Savings account, including payroll, pension, or government benefit payments (e.g., Social Security), made by the account holder’s employer, payroll or benefits provider or government agency (“Direct Deposit”) via the Automated Clearing House (“ACH”) Network during a 30-day Evaluation Period (as defined below). Deposits that are not from an employer or government agency, including but not limited to check deposits, peer-to-peer transfers (e.g., transfers from PayPal, Venmo, etc.), merchant transactions (e.g., transactions from PayPal, Stripe, Square, etc.), and bank ACH funds transfers and wire transfers from external accounts, or are non-recurring in nature (e.g., IRS tax refunds), do not constitute Direct Deposit activity. There is no minimum Direct Deposit amount required to qualify for the stated interest rate. SoFi members with direct deposit are eligible for other SoFi Plus benefits.

As an alternative to direct deposit, SoFi members with Qualifying Deposits can earn 4.00% APY on savings balances (including Vaults) and 0.50% APY on checking balances. Qualifying Deposits means one or more deposits that, in the aggregate, are equal to or greater than $5,000 to an account holder’s SoFi Checking and Savings account (“Qualifying Deposits”) during a 30-day Evaluation Period (as defined below). Qualifying Deposits only include those deposits from the following eligible sources: (i) ACH transfers, (ii) inbound wire transfers, (iii) peer-to-peer transfers (i.e., external transfers from PayPal, Venmo, etc. and internal peer-to-peer transfers from a SoFi account belonging to another account holder), (iv) check deposits, (v) instant funding to your SoFi Bank Debit Card, (vi) push payments to your SoFi Bank Debit Card, and (vii) cash deposits. Qualifying Deposits do not include: (i) transfers between an account holder’s Checking account, Savings account, and/or Vaults; (ii) interest payments; (iii) bonuses issued by SoFi Bank or its affiliates; or (iv) credits, reversals, and refunds from SoFi Bank, N.A. (“SoFi Bank”) or from a merchant. SoFi members with Qualifying Deposits are not eligible for other SoFi Plus benefits.

SoFi Bank shall, in its sole discretion, assess each account holder’s Direct Deposit activity and Qualifying Deposits throughout each 30-Day Evaluation Period to determine the applicability of rates and may request additional documentation for verification of eligibility. The 30-Day Evaluation Period refers to the “Start Date” and “End Date” set forth on the APY Details page of your account, which comprises a period of 30 calendar days (the “30-Day Evaluation Period”). You can access the APY Details page at any time by logging into your SoFi account on the SoFi mobile app or SoFi website and selecting either (i) Banking > Savings > Current APY or (ii) Banking > Checking > Current APY. Upon receiving a Direct Deposit or $5,000 in Qualifying Deposits to your account, you will begin earning 4.00% APY on savings balances (including Vaults) and 0.50% on checking balances on or before the following calendar day. You will continue to earn these APYs for (i) the remainder of the current 30-Day Evaluation Period and through the end of the subsequent 30-Day Evaluation Period and (ii) any following 30-day Evaluation Periods during which SoFi Bank determines you to have Direct Deposit activity or $5,000 in Qualifying Deposits without interruption.

SoFi Bank reserves the right to grant a grace period to account holders following a change in Direct Deposit activity or Qualifying Deposits activity before adjusting rates. If SoFi Bank grants you a grace period, the dates for such grace period will be reflected on the APY Details page of your account. If SoFi Bank determines that you did not have Direct Deposit activity or $5,000 in Qualifying Deposits during the current 30-day Evaluation Period and, if applicable, the grace period, then you will begin earning the rates earned by account holders without either Direct Deposit or Qualifying Deposits until you have Direct Deposit activity or $5,000 in Qualifying Deposits in a subsequent 30-Day Evaluation Period. For the avoidance of doubt, an account holder with both Direct Deposit activity and Qualifying Deposits will earn the rates earned by account holders with Direct Deposit.

Members without either Direct Deposit activity or Qualifying Deposits, as determined by SoFi Bank, during a 30-Day Evaluation Period and, if applicable, the grace period, will earn 1.20% APY on savings balances (including Vaults) and 0.50% APY on checking balances.

Interest rates are variable and subject to change at any time. These rates are current as of 12/3/24. There is no minimum balance requirement. Additional information can be found at https://www.sofi.com/legal/banking-rate-sheet.

Financial Tips & Strategies: The tips provided on this website are of a general nature and do not take into account your specific objectives, financial situation, and needs. You should always consider their appropriateness given your own circumstances.

Tax Information: This article provides general background information only and is not intended to serve as legal or tax advice or as a substitute for legal counsel. You should consult your own attorney and/or tax advisor if you have a question requiring legal or tax advice.

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How Much a $450,000 Mortgage Will Cost You

A $450K mortgage payment is between $3,000 and $4,000 per month in the current interest-rate environment, depending on your loan type and term. This amount, however, does not include other variables that affect your payment, such as property taxes and insurance. Here’s the lowdown on what you can expect.

Cost of a $450,000 Mortgage

A $450K mortgage payment is primarily influenced by your loan term and interest rate. A 30-year loan at 7% interest would result in a monthly cost of $2,993 (not including taxes and insurance). But a 15-year loan at the same interest rate would have monthly payments of $4,044.


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Monthly Payments for a $450,000 Mortgage

The amount you pay each month for a $450,000 mortgage payment is going to be somewhere between $2,993 and $4,044. However, keep in mind that there are a few variables that affect your monthly payment. These include:

•   Interest rate

•   Fixed or variable interest rate

•   Length of repayment period (15, 20, or 30 years)

•   Mortgage insurance

•   Property taxes

•   Property insurance

Another thing to consider are homeowners association (HOA) fees. Although they are paid directly to the HOA association and shouldn’t affect your monthly mortgage payment, these fees are an additional living expense.

If you’re a first-time homebuyer, it’s important to understand the true cost of owning a home because your monthly payment is more complicated than simply the amount you borrow. Housing costs and property taxes, for example, vary based on location. If you’re open to where you live, you may want to compare the cost of living by state. The best affordable places to live in the U.S. may pique your interest!

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Where to Get a $450,000 Mortgage

Banks, credit unions, and online lenders can all provide you with a $450,000 mortgage. Make sure you shop around and compare lenders to get the lowest interest rate. As you apply, you’ll receive loan estimates that show the cost of a loan. While the annual percentage rate (APR) is certainly important, also compare expenses such as the loan origination fee and mortgage insurance.

What to Consider Before Applying for a $450,000 Mortgage

Before applying for a $450,000 mortgage, consider the cost difference between a shorter loan repayment period and a longer loan repayment period. For a 30-year mortgage with a 7% interest rate, the total interest paid during the life of the loan would be $627,791.

For a 15-year mortgage with the same interest rate, you would have a higher monthly payment, but the total amount you would pay in interest would be more than halved: just $278,050. For an extra $1,050 each month, a 15-year loan would save $349,739 in interest compared to a 30-year loan.

If you can’t afford a 15-year mortgage now, just remember that you can always do a mortgage refinance in the future.

$450,000 mortgage with a term of 30 years and a 7% interest rate:

Year Beginning Balance Monthly Payment Total Interest Paid Total Principal Paid Remaining Balance
1 $450,000 $2,993.86 $31,355.19 $4,571.14 $445,428.86
2 $445,428.86 $2,993.86 $31,024.74 $4,901.59 $440,527.26
3 $440,527.26 $2,993.86 $30,670.41 $5,255.93 $435,271.33
4 $435,271.33 $2,993.86 $30,290.45 $5,635.88 $429,635.45
5 $429,635.45 $2,993.86 $29,883.04 $6,043.30 $423,592.15
6 $423,592.15 $2,993.86 $29,446.17 $6,480.17 $417,111.98
7 $417,111.98 $2,993.86 $28,977.71 $6,948.62 $410,163.36
8 $410,163.36 $2,993.86 $28,475.40 $7,450.94 $402,712.43
9 $402,712.43 $2,993.86 $27,936.77 $7,989.57 $394,722.86
10 $394,722.86 $2,993.86 $27,359.20 $8,567.13 $386,155.73
11 $386,155.73 $2,993.86 $26,739.88 $9,186.45 $376,969.27
12 $376,969.27 $2,993.86 $26,075.79 $9,850.54 $367,118.73
13 $367,118.73 $2,993.86 $25,363.70 $10,562.64 $356,556.09
14 $356,556.09 $2,993.86 $24,600.12 $11,326.21 $345,229.88
15 $345,229.88 $2,993.86 $23,781.35 $12,144.98 $333,084.90
16 $333,084.90 $2,993.86 $22,903.39 $13,022.95 $320,061.95
17 $320,061.95 $2,993.86 $21,961.96 $13,964.38 $306,097.58
18 $306,097.58 $2,993.86 $20,952.47 $14,973.86 $291,123.71
19 $291,123.71 $2,993.86 $19,870.01 $16,056.32 $275,067.39
20 $275,067.39 $2,993.86 $18,709.30 $17,217.04 $257,850.35
21 $257,850.35 $2,993.86 $17,464.68 $18,461.66 $239,388.69
22 $239,388.69 $2,993.86 $16,130.08 $19,796.25 $219,592.44
23 $219,592.44 $2,993.86 $14,699.01 $21,227.33 $198,365.12
24 $198,365.12 $2,993.86 $13,164.48 $22,761.85 $175,603.27
25 $175,603.27 $2,993.86 $11,519.03 $24,407.31 $151,195.96
26 $151,195.96 $2,993.86 $9,754.62 $26,171.71 $125,024.25
27 $125,024.25 $2,993.86 $7,862.67 $28,063.67 $96,960.58
28 $96,960.58 $2,993.86 $5,833.94 $30,092.39 $66,868.19
29 $66,868.19 $2,993.86 $3,658.56 $32,267.77 $34,600.41
30 $34,600.41 $2,993.86 $1,325.92 $34,600.41 $0

$450,000 mortgage with a term of 15 years and 7% interest rate:

Year Beginning Balance Monthly Payment Total Interest Paid Total Principal Paid Remaining Balance
1 $450,000 $4,044.73 $30,942.64 $17,594.09 $432,405.91
2 $432,405.91 $4,044.73 $29,670.76 $18,865.97 $413,539.94
3 $413,539.94 $4,044.73 $28,306.94 $20,229.79 $393,310.15
4 $393,310.15 $4,044.73 $26,844.52 $21,692.20 $371,617.94
5 $371,617.94 $4,044.73 $25,276.39 $23,260.34 $348,357.61
6 $348,357.61 $4,044.73 $23,594.90 $24,941.83 $323,415.78
7 $323,415.78 $4,044.73 $21,791.85 $26,744.87 $296,670.91
8 $296,670.91 $4,044.73 $19,858.46 $28,678.26 $267,992.64
9 $267,992.64 $4,044.73 $17,785.31 $30,751.42 $237,241.23
10 $237,241.23 $4,044.73 $15,562.29 $32,974.44 $204,266.79
11 $204,266.79 $4,044.73 $13,178.56 $35,358.16 $168,908.62
12 $168,908.62 $4,044.73 $10,622.52 $37,914.21 $130,994.41
13 $130,994.41 $4,044.73 $7,881.70 $40,655.03 $76,144.79
14 $76,144.79 $4,044.73 $4,942.74 $43,593.99 $31,524.68
15 $31,524.68 $4,044.73 $1,791.33 $46,745.40 $0

It’s important to understand how costs vary between the different types of mortgage loans. A mortgage calculator can help you get a quick idea of what to expect before you commit to a home mortgage loan.

How to Get a $450,000 Mortgage

To get a $450,000 mortgage, you need a strong credit score, a steady source of income, and a low debt-to-income ratio. Other tips to qualify for a mortgage include things like saving up for a higher down payment and submitting all of the appropriate paperwork to your lender in a timely manner. If you’re just starting out on your home buying journey, a home loan help center may be a good resource.


💡 Quick Tip: Generally, the lower your debt-to-income ratio, the better loan terms you’ll be offered. One way to improve your ratio is to increase your income (hello, side hustle!). Another way is to consolidate your debt and lower your monthly debt payments.

The Takeaway

Payment on a $450,000 mortgage is influenced by a few different variables, such as your loan term and interest rate. Other factors that come into play include mortgage insurance, property taxes, and property insurance. A higher down payment and a stronger credit score may help lower your monthly payment.

Looking for an affordable option for a home mortgage loan? SoFi can help: We offer low down payments (as little as 3% - 5%*) with our competitive and flexible home mortgage loans. Plus, applying is extra convenient: It's online, with access to one-on-one help.

SoFi Mortgages: simple, smart, and so affordable.

FAQ

How much is $450K mortgage a month?

A $450,000 mortgage should cost you around $3,000 to $4,000. Just remember to also include property taxes and insurance in your calculations.

How much income is required for $450,000 mortgage?

You probably need to earn around $140,000 a year to afford a $450,000 mortgage. A general guideline is that all of your housing costs should be at or below 30% of your gross income. Assuming you opt for a 30-year loan, your mortgage payment, property tax, and insurance cost would total around $3,200 per month. Factor in a budget for utilities and repairs and your total annual cost would be $42,000 — that’s 30% of $140,000.

How much is a down payment on a $450,000 mortgage?

A conventional loan requires a down payment of at least 3%. Therefore, your down payment should be, at minimum, $13,500. A down payment of 20% ($113,000 on a property costing $563,000) would allow you to skip paying the additional cost of mortgage insurance.

Can I afford a $450K house with a $70K salary?

It’s not likely. Assuming you choose a 30-year loan, your monthly payment would be around $3,000, which would be more than 50% of your gross income — well over the 30% that is considered the maximum amount you should spend on housing. The only way to make it work would be to have a large down payment (more than $150,000) to lower the amount you would have to borrow and thus your monthly payments.


Photo credit: iStock/AntonioGuillem

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*SoFi requires Private Mortgage Insurance (PMI) for conforming home loans with a loan-to-value (LTV) ratio greater than 80%. As little as 3% down payments are for qualifying first-time homebuyers only. 5% minimum applies to other borrowers. Other loan types may require different fees or insurance (e.g., VA funding fee, FHA Mortgage Insurance Premiums, etc.). Loan requirements may vary depending on your down payment amount, and minimum down payment varies by loan type.

+Lock and Look program: Terms and conditions apply. Applies to conventional purchase loans only. Rate will lock for 91 calendar days at the time of preapproval. An executed purchase contract is required within 60 days of your initial rate lock. If current market pricing improves by 0.25 percentage points or more from the original locked rate, you may request your loan officer to review your loan application to determine if you qualify for a one-time float down. SoFi reserves the right to change or terminate this offer at any time with or without notice to you.

Financial Tips & Strategies: The tips provided on this website are of a general nature and do not take into account your specific objectives, financial situation, and needs. You should always consider their appropriateness given your own circumstances.

Tax Information: This article provides general background information only and is not intended to serve as legal or tax advice or as a substitute for legal counsel. You should consult your own attorney and/or tax advisor if you have a question requiring legal or tax advice.

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Investment Tax Rules Every Investor Should Know

Investment Tax Rules Every Investor Should Know

Investing can feel like a steep learning curve. In addition to having a clear grasp of types of investment vehicles available and the role investments play in overall financial strategy, it’s a good idea to understand how taxes may affect your investments. Knowing tax implications of various investment vehicles and investment decisions may help an investor tailor their strategy and end up with fewer headaches at tax time.

What Is Investment Income?

Tax requirements for investments can be complicated, and it may be helpful for investors to work with a professional to see how taxes might impact a return on their investment. Doing so might also help ensure that investors aren’t overlooking anything important when it comes to their investments and taxes.

That said, it’s beneficial to enter into any discussion with some solid background information on when and how investments are taxed. Typically, investments are taxed at one or more of these three times:

•   When you sell an asset for a profit. This profit is called capital gains—the difference between what you bought an investment for and what you sold it for. Capital gains taxes are typically only triggered when you sell an asset; otherwise, any gain is an “unrealized gain” and is not taxed.

•   When you receive money from your investments. This may be in the form of dividends or interest.

•   When you have investment income that includes such things as royalties, income from rental properties, certain annuities, or from an estate or trust. This may incur a tax called the Net Investment Income Tax (NIIT).

In the following sections, we delve deeper into each of these situations that can lead to taxes on investments.

💡 Quick Tip: Investment fees are assessed in different ways, including trading costs, account management fees, and possibly broker commissions. When you set up an investment account, be sure to get the exact breakdown of your “all-in costs” so you know what you’re paying.

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Tax Rules for Different Investment Income Types

Capital Gains Taxes on Assets Sold

Capital gains are the profits an investor makes from the purchase price to the sale price of an asset. Capital gains taxes are triggered when an asset is sold (or in the case of qualified dividends, which is explained further in the next section). Any growth or loss before a sale is called an unrealized gain or loss, and is not taxed.

The opposite of a capital gain is a capital loss. This occurs when an investor sells an asset at a lower price than purchased. Why would this happen? That depends on the investor. Sometimes, an investor needs to sell an asset at a suboptimal time because they need the cash, for instance.

At other times, an investor may sell “losing” assets at the same time they sell assets that have gained as a way to minimize their overall tax bill, by using a strategy called tax-loss harvesting. This strategy allows investors to “balance” any gains by selling profits at a loss, which, according to IRS rules, may be carried over through subsequent tax years.

There are two types of capital gains, depending on how long you have held an asset:

•  Short-term capital gains. This is a tax on assets held less than a year, taxed at the investor’s ordinary income tax rate.
•  Long-term capital gains. This is a tax on assets held longer than a year, taxed at the capital-gains tax rate. This rate is lower than ordinary income tax. For the 2023 tax year, the long-term capital gains tax is $0 for individuals married and filing jointly with taxable income less than $89,250, and no more than 15% for those with taxable income up to $553,850. The long-term capital gains tax rate is 20% for those whose taxable income is more than that.

For the 2024 tax year, individuals may qualify for a 0% tax rate on long-term capital gains if their taxable income is $94,050 or less for those married and filing jointly, and no more than 15% if their taxable income is up to $583,750. Beyond that, the tax rate is 20%.

Dividend And Interest Taxes

Dividends are distributions that a corporation, S-corp, trust or other entity taxable as a corporation may pay to investors. Not all companies pay dividends, but those that do typically pay investors in cash, out of the corporation’s profits or earnings. In some cases, dividends are paid in stock or other assets.

Dividends that are part of tax-advantaged investment vehicles are not taxed. Generally, taxpayers will receive a form 1099-DIV from a corporation that paid dividends if they receive more than $10 in dividends over a tax year. All other dividends are either ordinary or qualified:

•  Ordinary dividends are taxed at the investor’s income tax rate.
•  Qualified dividends are taxed at the lower capital-gains rate.

In order for a dividend to be considered “qualified” and taxed at the capital gains rate, an investor must have held the stock for more than 60 days in the 121-day period that begins 60 days before the ex-dividend date. (Additionally, said dividends must be paid by a U.S. corporation or qualified foreign corporation, and must be an ordinary dividend, as opposed to capital gains distributions or dividends from tax-exempt organizations.)

Both ordinary dividends and interest income on investments are taxed at the investors regular income rate. Interest may come from brokerage accounts, or assets such as mutual funds and bonds. There are exceptions to interest taxes based on type of asset. For example, municipal bonds may be exempt from taxes on interest if they come from the state in which you reside.

Total Investment Income and Net Investment Income Tax (NIIT)

Net investment income tax (NIIT) is a flat 3.8% surtax levied on investment income for taxpayers above a certain income threshold. The NIIT is also called the “Medicare tax” and applies to all investment income including, but not limited to: interest, dividends, capital gains, rental and royalty income, non-qualified annuities, and income from businesses involved in trading of financial instruments or commodities.

NIIT applies to individuals with a modified adjusted gross income (MAGI) over $200,000 for single filers and $250,000 for married couples filing jointly. For taxpayers over the threshold, NIIT is applied to the lesser of the amount the taxpayer’s MAGI exceeds the threshold or their total net investment income.

For example, consider a couple filing jointly who makes $200,000 in wages and has a NIIT of $60,000 across all investments in a single tax year. This brings their MAGI to $260,000—$10,000 over the AGI threshold. This would mean the taxpayer would owe tax on $10,000. To calculate the exact amount of tax, the couple would take 3.8% of $10,000, or $380.

Cases of Investment Tax Exemption

Certain types of investments may be exempt from tax implications if the money is used for certain purposes. These investment vehicles are called “tax-sheltered” vehicles and apply to certain types of investments that are earmarked for certain uses, such as retirement or education.

There are two types of tax-sheltered accounts:

•  Tax-deferred accounts. These are accounts in which money is contributed pre-tax and grows tax-free, but taxes are taken out when money is withdrawn. For example, a 401(k) retirement account grows tax-free until you withdraw money, at which point it is taxed.
•  Tax-exempt accounts. These are accounts—such as a Roth 401(k) or Roth IRA, or a 529 plan—in which money can be withdrawn tax-free if the funds are taken out according to qualifications. For example, money in a Roth account is not taxed upon withdrawal in retirement.

Beyond investing in tax-sheltered accounts, investors may also choose to research or speak with a professional about tax-efficient investing strategies. These are ways to calibrate a portfolio that might help minimize taxes, build wealth, and reach key portfolio goals—such as ample savings for retirement.

The Takeaway

Dividends, interest, and gains can add up, which is why it’s important for a taxpayer to be mindful of investment taxes not only at tax time, but throughout the year. Understanding the implications of sales and keeping capital gains taxes in mind when planning sales can help investors make tax-smart decisions.

Because there are so many different rules regarding taxes, some investors find it helpful to work with a tax professional. Tax law also varies by state, and a tax professional should be able to help an investor with those taxes as well.

Ready to invest in your goals? It’s easy to get started when you open an investment account with SoFi Invest. You can invest in stocks, exchange-traded funds (ETFs), mutual funds, alternative funds, and more. SoFi doesn’t charge commissions, but other fees apply (full fee disclosure here).

Invest with as little as $5 with a SoFi Active Investing account.


Third-Party Brand Mentions: No brands, products, or companies mentioned are affiliated with SoFi, nor do they endorse or sponsor this article. Third-party trademarks referenced herein are property of their respective owners.

Tax Information: This article provides general background information only and is not intended to serve as legal or tax advice or as a substitute for legal counsel. You should consult your own attorney and/or tax advisor if you have a question requiring legal or tax advice.

Financial Tips & Strategies: The tips provided on this website are of a general nature and do not take into account your specific objectives, financial situation, and needs. You should always consider their appropriateness given your own circumstances.

SoFi Invest®

INVESTMENTS ARE NOT FDIC INSURED • ARE NOT BANK GUARANTEED • MAY LOSE VALUE

SoFi Invest encompasses two distinct companies, with various products and services offered to investors as described below: Individual customer accounts may be subject to the terms applicable to one or more of these platforms.
1) Automated Investing and advisory services are provided by SoFi Wealth LLC, an SEC-registered investment adviser (“SoFi Wealth“). Brokerage services are provided to SoFi Wealth LLC by SoFi Securities LLC.
2) Active Investing and brokerage services are provided by SoFi Securities LLC, Member FINRA (www.finra.org)/SIPC(www.sipc.org). Clearing and custody of all securities are provided by APEX Clearing Corporation.
For additional disclosures related to the SoFi Invest platforms described above please visit SoFi.com/legal.
Neither the Investment Advisor Representatives of SoFi Wealth, nor the Registered Representatives of SoFi Securities are compensated for the sale of any product or service sold through any SoFi Invest platform.


Investment Risk: Diversification can help reduce some investment risk. It cannot guarantee profit, or fully protect in a down market.

Exchange Traded Funds (ETFs): Investors should carefully consider the information contained in the prospectus, which contains the Fund’s investment objectives, risks, charges, expenses, and other relevant information. You may obtain a prospectus from the Fund company’s website or by email customer service at https://sofi.app.link/investchat. Please read the prospectus carefully prior to investing.
Shares of ETFs must be bought and sold at market price, which can vary significantly from the Fund’s net asset value (NAV). Investment returns are subject to market volatility and shares may be worth more or less their original value when redeemed. The diversification of an ETF will not protect against loss. An ETF may not achieve its stated investment objective. Rebalancing and other activities within the fund may be subject to tax consequences.

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What is a Stag in the Stock Market?

What Is a Stag in the Stock Market?

A stag is an investor who engages in speculative trading activity. When discussing a stag in stock market terms, you’re using a slang term to talk about day traders who buy and sell securities with a goal of reaping short-term profits.

Stags base their trading strategies around current market movements, relying on technical analysis to help them identify trends, with a focus on initial public offerings (IPOs). That sets them apart from bull and bear speculators, who take a longer view of the market when anticipating price movements.

Stag Definition

Stag isn’t an acronym for anything; instead, it’s a slang term used to describe investors who engage in short-term, speculative trading. Stags aim to benefit from short-term price movements by buying low and selling high. They can trade different types of securities and employ different strategies, either bullish or bearish, in executing trades to achieve maximum profit.

Stags and Market Speculation

To understand stag in stock market terms, it’s helpful to look at the difference between investing and speculation. Investing typically means putting money into the market in the hopes of seeing a long-term result, usually capital appreciation. For example, an investor may purchase 100 shares of a value stock in the hope that those shares will have increased in price by the time they’re ready to sell them 10, 20 or 30 years down the road.

Speculation is different. Investors who engage in market speculation, including stags, focus more on what’s happening in the short term and how they can leverage those trends when trading. Stags will generally accept a higher degree of investment risk in order to turn a profit within a fairly short time frame. They use technical analysis, rather than fundamental analysis, to help them make educated guesses about which way a security is most likely to move.

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Is a Stag a Day Trader?

Investors who follow a day trading strategy buy and sell securities to capitalize on large or small price movements throughout the day. For example, they may buy 100 shares of XYZ stock in the morning and sell those shares in the afternoon before the trading day closes. Some day traders may buy and sell the same stock minutes or even seconds apart in order to lock in profits from fluctuating prices.

Following that line of thought, a stag could be considered to be a type of day trader. Both stags and day traders typically require a sizable amount of capital in order to execute trades aimed at making a short-term profit. They also have to be relatively savvy when it comes to using online brokerage platforms to buy and sell securities. And, of course, they have to be willing to accept the risk that goes along with engaging in speculative day trading.

The stag meaning in the stock market isn’t limited to retail investors, however. Institutional investors can also fall under the stag umbrella if they engage in speculative trading activity. Institutional day traders can work with different financial institutions such as private equity funds and hedge funds to execute speculative trades on their behalf.

💡 Quick Tip: Are self-directed brokerage accounts cost efficient? They can be, because they offer the convenience of being able to buy stocks online without using a traditional full-service broker (and the typical broker fees).

Understanding Stag Trading Strategies

Stag investing revolves around active trading strategies and there are different approaches an investor may take in their efforts to secure short term stock profits. The goal with active trading is to beat the market’s performance whenever possible. Stag investors approach that goal by paying attention to market trends and momentum.

For example, if a security’s price is steadily trending upward a stag investor may speculate as to whether that trend will continue or whether a pullback might happen. If the security’s price drops, the investor may choose to buy shares if they believe that the price will rebound and they can sell those shares at a profit later. They can employ a similar strategy with stocks that are in decline already, if they believe that a price reversal lies ahead.

A stag investor may use a stacking strategy to maximize profits. Stack meaning in stock market terms can refer to different things but when discussing day trading, it means aligning trades to move in the same direction. Assuming the investor’s guess about a security’s price movement proves correct, this strategy could help them to multiply profits.

Stag traders may study stock trading charts in order to identify points of support and points of resistance when tracking price movements. They may be looking for signs that a stock is approaching a breakout, which could suggest a substantially higher price in the future. Stock charts can also be useful for telling a stag investor whether a security’s trading volume is moving bearish or bullish, which can hint at which way prices are likely to move in the near term.

Differences Between Stags, Bulls, and Bears

Stags, bulls, and bears are all different animals, so to speak, when it comes to trading. While stag investors focus primarily on the short term, bull and bear speculators take a longer view of the markets.

Bullish speculators are banking on a rise in stock prices over time. So they may buy securities with the expectation that they can turn around and sell them at a higher price. Bearish speculators, on the other hand, have a more pessimistic outlook in that they expect prices to drop. They may sell off short positions in stocks in anticipation of being able to buy those same securities later at a lower price.

Stag investors can act bullish or bearish in their approach to trading, depending on the overall mood of the market. They may even change from bullish to bearish and back again several times over the course of the same trading day as stock prices rise and fall. Again, that’s not unusual considering the short-term nature of stag trading versus the longer outlook assumed by bull and bear traders.

Do Stags Trade IPO Stocks?

An initial public offering, or IPO, marks the first time a company makes its shares available for trade on a public exchange. Investing in IPOs can be highly speculative, as IPO valuations don’t always align with a company’s performance once it goes public. Some highly anticipated IPOs can end up being flops while other IPOs that fly under the radar initially end up delivering better than expected results to investors.

Stag investors may buy IPO stocks if they believe there’s an opportunity to capitalize on volatility in price movements during the first day or first few days of trading. The challenge with IPO investing is that there isn’t a lengthy track record of performance for the investor to study and analyze. Since the stock hasn’t traded yet, the same technical analysis rules don’t apply.

That means stag investors who are interested in IPOs must do a certain amount of homework beforehand. Specifically, they have to study the financial statements and documents released as part of the IPO process. They also have to take the temperature of the markets to get a feel for how well the company is likely to do once it goes public before deciding what type of bet they’re going to make on that stock’s debut.

IPO Flipping

Since stags typically aren’t looking for long-term positions, it’s not unusual for them to buy IPO shares then resell them in a short period of time. For example, they may buy shares of an IPO in the morning and sell before the first day of trading ends if pricing volatility works in their favor. It’s also possible for stag traders to buy into an IPO before the company begins trading on an exchange, then sell their holdings once trading opens.

This practice is referred to as IPO flipping and it works similar to house flipping, in that the investor seeks to buy low and sell high quickly. Flipping IPO stocks isn’t an illegal practice as far as the Securities and Exchange Commission (SEC) is concerned, though it is generally frowned upon.

Brokerage platforms can enforce an IPO flipping policy that outlines what investors are and aren’t allowed to do in order to discourage this practice. For example, SoFi’s flipping policy may impose limits on future IPO investments and/or fees for traders who are identified as flippers.

Stag Trading Strategy Example

Here’s a simple example of how a stag trading strategy might work.

Say a new company is set to launch its IPO with an expected valuation of $35 per share. After studying the company’s financials and market expectations for the launch, a stag investor decides to buy 1,000 shares of the stock 10 minutes after trading opens. Within an hour of the company going public, investor demand pushes the stock’s price up to $45 per share.

At this point, the stag trader could sell and collect a $10 profit per share, less any commission fees their brokerage charges. But they have a hunch the price may climb even higher before the trading day is done so they hold onto their shares. By 3 pm the stock’s price has climbed to $52 per share, at which point the trader decides to sell.

Of course, this example could have gone the other way. It’s not uncommon for an IPO to open trading at a higher price point and drop throughout the day. If the investor’s hunch had proven wrong and the price dropped to $25 per share, they would have had to decide whether to cut their losses or carry over their position for another trading day to see if the price might turn around.

💡 Quick Tip: How do you decide if a certain trading platform or app is right for you? Ideally, the investment platform you choose offers the features that you need for your investment goals or strategy, e.g., an easy-to-use interface, data analysis, educational tools.

The Takeaway

Stag trading is a term used to describe investors who engage in short-term, speculative trading, and stags aim to benefit from short-term price movements by buying low and selling high. This is common when a company issues stock through an IPO, which may allow an opening for a stag to generate quick returns.

IPO investing can be attractive if you’re hoping to get in on the ground floor of an up-and-coming company. You may also be interested in IPO flipping if you’re an active day trader. Given that this is all fairly advanced, it may be best to speak with a financial professional before trying it for yourself.

Ready to invest in your goals? It’s easy to get started when you open an investment account with SoFi Invest. You can invest in stocks, exchange-traded funds (ETFs), mutual funds, alternative funds, and more. SoFi doesn’t charge commissions, but other fees apply (full fee disclosure here).

For a limited time, opening and funding an Active Invest account gives you the opportunity to get up to $1,000 in the stock of your choice.


Photo credit: iStock/AleksandarGeorgiev

SoFi Invest®

INVESTMENTS ARE NOT FDIC INSURED • ARE NOT BANK GUARANTEED • MAY LOSE VALUE

SoFi Invest encompasses two distinct companies, with various products and services offered to investors as described below: Individual customer accounts may be subject to the terms applicable to one or more of these platforms.
1) Automated Investing and advisory services are provided by SoFi Wealth LLC, an SEC-registered investment adviser (“SoFi Wealth“). Brokerage services are provided to SoFi Wealth LLC by SoFi Securities LLC.
2) Active Investing and brokerage services are provided by SoFi Securities LLC, Member FINRA (www.finra.org)/SIPC(www.sipc.org). Clearing and custody of all securities are provided by APEX Clearing Corporation.
For additional disclosures related to the SoFi Invest platforms described above please visit SoFi.com/legal.
Neither the Investment Advisor Representatives of SoFi Wealth, nor the Registered Representatives of SoFi Securities are compensated for the sale of any product or service sold through any SoFi Invest platform.

Financial Tips & Strategies: The tips provided on this website are of a general nature and do not take into account your specific objectives, financial situation, and needs. You should always consider their appropriateness given your own circumstances.

Claw Promotion: Customer must fund their Active Invest account with at least $25 within 30 days of opening the account. Probability of customer receiving $1,000 is 0.028%. See full terms and conditions.

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