InvestHH Archives | Page 5 of 21

Mar

2024

What is the Greenshoe Option? Definition & How it Works

By Laurel Tincher | Growing Wealth, invest, Investing | Comments Off

The greenshoe option allows underwriters involved with IPOs to sell more shares than initially agreed upon: usually up to 15% more. That can occur if there is enough investor demand to purchase the shares.

Because IPO share prices can be volatile, the greenshoe option is an important tool that can help underwriters stabilize the price of a newly listed stock to protect both the company and investors.

Understanding the Greenshoe Option

Also called the over-allotment option, the greenshoe provision is part of an underwriting agreement between an underwriter and a company issuing stock as part of an IPO, or initial public offering. The greenshoe option is the only type of price stabilization allowed by the Securities and Exchange Commission (SEC).

The SEC allows this because it increases competitiveness and efficiency of IPO fundraising. It gives underwriters the ability to stabilize security prices by increasing the available supply. It is the responsibility of an underwriter to help sell shares, build a market for a new stock, and use the tools at their disposal to launch a successful initial public offering.

The greenshoe option got its name when the Green Shoe Manufacturing Company was issued the first over-allotment options in 1919.

💡 Quick Tip: Access to IPO shares before they trade on public exchanges has usually been available only to large institutional investors. That’s changing now, and some brokerages offer pre-listing IPO investing to qualified investors.

How Does a Greenshoe Option Work?

During the IPO process, stock issuers set limits on how many shares they will sell to investors during an IPO. With a greenshoe option, the IPO underwriter can sell up to 15% more shares than the set amount.

IPO underwriters want to sell as many shares as they can because they earn on commission as a percentage of IPO sales.

All of the details about an IPO sale and underwriter abilities appear in the prospectus filed by the issuing company before the sale. Not every company allows their investment banker to use the greenshoe option. For instance, if they only want to raise a specific amount of capital, they wouldn’t want to sell any more shares than necessary to raise that money.

There are two ways an underwriter can over allot sales:

At the IPO Price

If the IPO they are underwriting is doing well, investors are buying IPO shares and the price is going up, the underwriter can use the greenshoe option to purchase up to 15% more stock from the issuing company at the IPO price and sell that stock to investors at the higher market price for a profit.

A Break Issue

Conversely, if an IPO isn’t doing well, the underwriter can take a short position on up to 15% of the issued stock and buy back shares from the market to stabilize the price and cover their position.

The underwriter then returns those additional shares to the issuing company. This is known as a “break issue.” When an IPO isn’t performing well, this can reduce consumer confidence in the stock, and result in investors either selling their shares or refraining from buying them.

The greenshoe option helps the underwriter stabilize the stock price and reduce stock volatility.

Types of Greenshoe Options

There are three types of greenshoe options an underwriter might choose to use depending on what happens after an IPO launches. These options are:

Full Greenshoe

If the underwriter can’t buy back any shares before the stock price increases, this is known as a full greenshoe. In this case, the underwriter buys shares at the current offering price.

Partial Greenshoe

In a partial greenshoe scenario, the underwriter only buys back some of the stock inventory they started with in order to increase the share price.

Reverse Greenshoe

The third option for underwriters is to purchase shares from market investors and sell them back to the stock issuer if the share price has dipped below the original offering price. This is similar to a put option in stock trading.

Recommended: How Are IPO Prices Set?

Greenshoe Option Examples

Here’s an example of how a greenshoe option might work in real life.

Once the IPO company owners, underwriter, and clients determine the offering or initial price of the newly issued shares, they’re ready to be traded on the public market. Ideally, the share price will rise above offering, but if the shares fall below the offering price the underwriter can exercise the greenshoe option (assuming the company had approved it in the prospectus).

To control the price, the underwrite can short up to 15% more shares than were part of the original IPO offering.

Let’s say a company’s initial public offering is going to be 10 million shares. The underwriters can sell up to 15% over that amount, or 1.5 million more shares, thus giving underwriters the ability to increase or decrease the supply as needed — adding to liquidity and helping to control price stability.

💡 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.

What the Greenshoe Option Means for IPO Investors

The greenshoe option is an important tool for underwriters that can help with the success of an IPO and bring additional funds to the issuing company. It reduces risk for the issuing company as well as investors. It can maintain IPO investor confidence in a newly issued stock which helps to build a long-term group of shareholders.

Although buying IPO stocks can be very profitable, stock prices don’t always increase and sometimes they can be volatile. It’s important for investors to research a company, look at the IPO prospectus, understand what the stock lock-up period and greenshoe options are before deciding to buy.

The Takeaway

Buying shares in IPOs can be a great way to invest in companies right when they go public. Although IPO investing comes with some risks, and IPO stock can be volatile, investment banks and companies going public use tools such as the greenshoe option to minimize volatility.

Whether you’re curious about exploring IPOs, or interested in traditional stocks and exchange-traded funds (ETFs), you can get started by opening an account on the SoFi Invest® brokerage platform. On SoFi Invest, eligible SoFi members have the opportunity to trade IPO shares, and there are no account minimums for those with an Active Investing account. As with any investment, it's wise to consider your overall portfolio goals in order to assess whether IPO investing is right for you, given the risks of volatility and loss.

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/AzmanJaka

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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.

Investing in an Initial Public Offering (IPO) involves substantial risk, including the risk of loss. Further, there are a variety of risk factors to consider when investing in an IPO, including but not limited to, unproven management, significant debt, and lack of operating history. For a comprehensive discussion of these risks please refer to SoFi Securities’ IPO Risk Disclosure Statement. IPOs offered through SoFi Securities are not a recommendation and investors should carefully read the offering prospectus to determine whether an offering is consistent with their investment objectives, risk tolerance, and financial situation.

New offerings generally have high demand and there are a limited number of shares available for distribution to participants. Many customers may not be allocated shares and share allocations may be significantly smaller than the shares requested in the customer’s initial offer (Indication of Interest). For SoFi’s allocation procedures please refer to IPO Allocation Procedures.

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

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.

Disclaimer: The projections or other information regarding the likelihood of various investment outcomes are hypothetical in nature, do not reflect actual investment results, and are not guarantees of future results.
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.

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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Feb

2024

Stochastic Oscillator Explained

By Matthew Warholak | Financial Independence, Growing Wealth, invest, Investing | Comments Off

A stochastic oscillator is a technical indicator that traders use to determine whether a given security is overbought or oversold. Traders will use a stochastic indicator, which is considered a momentum indicator, to compare a specific closing price of a security to a range of its prices over a certain time frame.

In other words, by using a stochastic chart traders can gauge the momentum of a security’s price with the aim of anticipating trends and reversals. A stochastic oscillator uses a range of 0 to 100 to determine if an asset is overbought (when the measurements are above 80) or oversold (when the measurement is below 20).

What Is a Stochastic Oscillator?

Let’s consider two main types of analysis that investors and traders commonly use when trading stocks: fundamental analysis and technical analysis.

Fundamental analysis incorporates earnings data, in addition to economic and market news, to predict how an asset’s price might move. Whereas technical analysis relies on various sets of data and indicators, such as price and volume, to identify patterns and trends.

The stochastic oscillator is a key tool in securities trading because it helps gauge how strong the momentum of the market is. Thus the stochastic oscillator, or sto indicator, is an indicator used in trading to assess trend strength.

History of the Stochastic Oscillator

Developed in the 1950s for commodities traders, the stochastic oscillator is now a common technical indicator that investors use to evaluate a variety of assets in many online investing platforms and price chart services.

💡 Quick Tip: The best stock trading app? That’s a personal preference, of course. Generally speaking, though, a great app is one with an intuitive interface and powerful features to help make trades quickly and easily.

How Does a Stochastic Oscillator Work?

The stochastic oscillator has two moving lines, or stochastics, that oscillate between and around two horizontal lines. The primary “fast” moving line is called the %K and reflects with a specific formula, while the other “slow” line is a three-period moving average of the %K line.

The full stochastic oscillator is a line customized by the user that may combine the traits of the slow and fast stochastics.

Slow vs Fast Stochastics

A signal is generated when the “fast” %K line diverges above the “slow” line or vice versa. The two horizontal lines are often pre-set at 30 and 70, indicating oversold and overbought levels, respectively, but can be modified to other levels, such as 20 and 80, to reduce the risk of entering trades on false or premature signals.

The price is considered “overbought” when the two moving lines rise above the upper horizontal line and “oversold” when they fall below the lower horizontal line. The overbought line indicates price action that exceeds the top 20% (or 30%) of the recent price range over a defined period — typically 14-interval period. Conversely, the oversold line represents price levels that fit into the bottom 20% of the recent price range.

The stochastic oscillator is a form of stock technical analysis that calculates statistically opportune times for trade entries and exits. When both stochastics are above the ‘overbought’ line (typically 80) and the fast %K line crosses below the slow %D line, this may signify a time to exit a long position or initiate a short position.

Conversely, when both stochastics are below the oversold line (typically 20), and the %K line crosses above the %D line, this could signify a time to exit a short position or initiate a new long position.

The stochastic oscillator is especially useful among commonly day-traded assets such as low-float stocks that have limited amounts of shares and are more volatile.

However useful these stock indicators are for determining entry and exit points, most readers use them in connection with other tools. While a stochastic oscillator is useful for implementing an overall strategy, it does not assist with identifying the overall market sentiment or trend direction.

It is only when the trend or sideways trading range is well established that traders can safely and reliably use the stochastic oscillator to look for long entries in oversold conditions and shorts entries in overbought conditions.

What Is the Formula for a Stochastic Oscillator?

Below is the calculation for a standard 14-period stochastic indicator, but the time period can be adjusted for any time frame.

Calculation for %K:

%K = [(C – L14) / H14 -L14)] x 100

Key:

C = Latest closing price
L14 = Lowest low over the period
H14 = Highest high over the period

%K is sometimes referred to as the “fast stochastic”, whereas the “slow” stochastic indicator is defined as %D = 3-period moving of %K.

The general idea for this oscillator is that in an uptrending market prices will close near the indicator’s high, and in a downtrending market prices will close near the low. Trade signals are generated when the “fast” %K line crosses above or below the three-period moving average, or “slow” %D.

The Slow %K Stochastic Oscillator incorporates a slower three-interval period that provides a moderate internal smoothing of %K. If the %K smoothing period was set to one instead of three, it would result in the equivalent of plotting the ‘fast stochastic.’

💡 Quick Tip: When you’re actively investing in stocks, it’s important to ask what types of fees you might have to pay. For example, brokers may charge a flat fee for trading stocks, or require some commission for every trade. Taking the time to manage investment costs can be beneficial over the long term.

Pros of the Stochastic Oscillator

There are several benefits to using the stochastic oscillator when evaluating investments.

Clear Entry/Exit Signals

The oscillator has a simple design and generates visual signals when it reaches an extreme level, which can help a trader determine when it’s time to buy or when to sell stocks.

Frequent Signals

For more active traders who trade on intraday charts such as the five, 10, or 15 minute time frames, the stochastic oscillator generates signals more often as price action oscillates in smaller ranges.

Easy to Understand

The oscillator’s fluctuating lines ranging from 0 to 100 are fairly clear for investors who know how to use them.

Available on Most Trading Platforms

The stochastic oscillator is a ubiquitous technical indicator found in many trading platforms, online brokerages, and technical chart services with similar configurations.

Recommended: How to Open a Brokerage Account

Cons of the Stochastic Oscillator

Despite its benefits, the stochastic oscillator is not a perfect tool.

Possible False Signals

Everyone’s strategy is different but depending on the time settings chosen, traders may misperceive a sharp oscillation as a buy or sell signal, especially if it goes against the trend. This is more common during periods of market volatility.

Doesn’t Measure the Trend or Direction

The stochastic oscillator calculates the strength or weakness of price action in a market, not the overall trend or direction.

How to Trade With the Stochastic Oscillator

Some traders find the stochastic oscillator indicator useful to identify trade entry and exit points, and help decide whether they’re bullish on a stock. The stochastic oscillator does this by comparing a particular closing price based on the user’s selected time frame to a range of the security’s highest and lowest prices over a certain period of time.

Traders can reduce the sensitivity of the oscillator to market fluctuations by adjusting the time frame and range of prices. The oscillator tends to trend around a mean price level because it relies on recent price history, but it also adjusts (with lag) when prices break out of price ranges.

The Takeaway

The stochastic oscillator is a popular technical trading indicator, which can help investors find trading opportunities, measure movements, and calculate valuations. After identifying the direction of a security’s trend, the stochastic oscillator can help determine when the security is overbought or oversold, thus identifying lower-risk trade-entry points.

The oscillator uses a complex formula to calculate recent price averages according to the user’s preset time frame and the most recent price to the average price ranges. The tool plots the final calculation on a scale of 0 to 100, 0 being extremely oversold and 100 being extremely overbought. While technical indicators are not trading strategies on their own, they are useful tools when properly incorporated into an overall trading strategy.

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.

FAQ

Which is more accurate, RSI or Stochastic?

Relative strength index, or RSI, tends to be more useful for investors in trending markets, whereas Stochastics tend to be more helpful or reliable in non-trending markets.

What are the default indicator settings for Stochastic?

The default indicator settings for Stochastic Indicator are 5,3,3, though there are other commonly-used settings.

What is divergence in Stochastics?

Divergences are indications of a change, and can be used by traders or investors to try and determine whether a trend is getting weaker, stronger, or continuing.

Photo credit: iStock/alvarez

SoFi Invest®

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

Feb

2024

hand holding smartphone on yellow background

What Is Considered a Good Return on Investment?

By Inyoung Hwang | Growing Wealth, invest, Investing | No Comments

Table of Contents

What Is the Historical Average Stock Market Return?
Why Your Money Loses Value If You Don’t Invest It
What Is a Good Rate of Return for Various Investments?
Likely Return on Investment Assets
Remember the Principles of Good Investing

A good return on investment is generally considered to be about 7% per year, based on the average historic return of the S&P 500 index, and adjusting for inflation. But of course what one investor considers a good return might not be ideal for someone else.

And while getting a “good” return on your investments is important, it’s equally important to know that the average return of the U.S. stock market is just that: an average of the market’s performance, typically going back to the 1920s. On a year-by-year basis, investors can expect returns that might be higher or lower — and they also have to face the potential for outright losses.

In addition, the S&P 500 is a barometer of the equity markets, and it only reflects the performance of the 500 biggest companies in the U.S. Most investors will hold other types of securities in addition to equities, which can affect their overall portfolio return.

Key Points

• A good return on investment is generally considered to be around 7% per year, based on the average historic return of the S&P 500 index, adjusted for inflation.

• The average return of the U.S. stock market is around 10% per year, adjusted for inflation, dating back to the late 1920s.

• Different investments, such as CDs, bonds, stocks, and real estate, offer varying rates of return and levels of risk.

• It’s important to consider factors like diversification and time when investing long-term.

• Investing in stocks carries higher potential returns but also higher risk, while investments like CDs offer lower returns but are considered safer.

What Is the Historical Average Stock Market Return?

Dating back to the late 1920s, the S&P 500 index has returned, on average, around 10% per year. Adjusted for inflation that’s roughly 7% per year.

Here’s how much a 7% return on investment can earn an individual after 10 years. If an individual starts out by putting in $1,000 into an investment with a 7% average annual return, they would see their money grow to $1,967 after a decade, assuming little or no volatility (which is unlikely in real life).

It’s important for investors to have realistic expectations about what type of return they’ll see.

For financial planning purposes however, investors interested in buying stocks should keep in mind that that doesn’t mean the stock market will consistently earn them 7% each year. In fact, S&P 500 share prices have swung violently throughout the years. For instance, the benchmark tumbled 38% in 2008, then completely reversed course the following March to end 2009 up 23%.

Factors such as economic growth, corporate performance, interest rates, and share valuations can affect stock returns. Thus, it can be difficult to say X% or Y% is a good return, as the investing climate varies from year to year.

A better approach is to think about your hoped-for portfolio return in light of a certain goal (e.g. retirement), and focus on the investment strategy that might help you achieve that return.

Line graph: 10 Year Model of S&P 500

Why Your Money Loses Value If You Don’t Invest it

It’s helpful to consider what happens to the value of your money if you simply hang on to cash.

Keeping cash can feel like a safer alternative to investing, so it may seem like a good idea to deposit your money into a savings account — the modern day equivalent of stuffing cash under your mattress. But cash slowly loses value over time due to inflation; that is, the cost of goods and services increases with time, meaning that cash has less purchasing power. Inflation can also impact your investments.

Interest rates are important, too. Putting money in a savings account that earns interest at a rate that is lower than the inflation rate guarantees that money will lose value over time.

This is why, despite the risks, investing money is often considered a better alternative to simply saving it. The inflation risk is lower.

What Is a Good Rate of Return for Various Investments?

As noted above, determining a good rate of return will also depend on the specific investments you hold, and your asset allocation. You can always calculate the expected rate of return for various securities.

CDs

Certificates of deposit (CDs) may be considered a relatively safe investment because they offer a fixed rate of return in return for keeping your money on deposit for a specific period of time. That means there’s relatively little risk — but because investors also agree to tie their money up for a predetermined period of time CDs are also considered illiquid. There is generally a penalty for withdrawing your money before the CD matures.

Generally, the longer money is invested in a CD, the higher the return. Many CDs require a minimum deposit amount, and larger deposits (i.e. for jumbo CDs) tend to be associated with higher interest rates.

It’s the low-risk nature of CDs that also means that they earn a lower rate of return than other investments, usually only a few percentage points per year. But they can be a good choice for investors with short-term goals who need a relatively low-risk investment vehicle while saving for a short-term goal.

Here are the weekly national rates compiled by the Federal Deposit Insurance Corporation (FDIC) as of April 17, 2023:

Non-Jumbo Deposits	National Avg. Annual Percentage Yield
1 month	0.24%
3 month	0.78%
6 month	1.03%
12 month	1.54%
24 month	1.43%
36 month	1.34%
48 month	1.29%
60 month	1.37%

Bonds

Purchasing a bond is basically the same as loaning your money to the bond-issuer, like a government or business. Similar to a CD, a bond is a way of locking up a certain amount of money for a fixed period of time.

Here’s how it works: A bond is purchased for a fixed period of time (the duration), investors receive interest payments over that time, and when the bond matures, the investor receives their initial investment back.

Generally, investors earn higher interest payments when bond issuers are riskier. An example may be a company that’s struggling to stay in business. But interest payments may be lower when the borrower is trustworthy, like the U.S. government, which has never defaulted on its Treasuries.

Stocks

Stocks can be purchased in a number of ways. But the important thing to know is that a stock’s potential return will depend on the specific stock, when it’s purchased, and the risk associated with it. Again, the general idea with stocks is that the riskier the stock, the higher the potential return.

This doesn’t necessarily mean you can put money into the market today and assume you’ll earn a large return on it in the next year. But based on historical precedent, your investment may bear fruit over the long-term. Because the market on average has gone up over time, bringing stock values up with it, but stock investors have to know how to handle a downturn.

As mentioned, the stock market averages a return of roughly 7% per year, adjusted for inflation.

Real Estate

Returns on real estate investing vary widely. It mostly depends on the type of real estate — if you’re purchasing a single house versus a real estate investment trust (REIT), for instance — and where the real estate is located.

As with other investments, it all comes down to risk. The riskier the investment, the higher the chance of greater returns and greater losses. Investors often debate the merit of investing in real estate versus investing in the market.

Likely Return on Investment Assets

For investors who have a high risk tolerance (they’re willing to take big risks to potentially earn high returns), some investments are better than others. For example, investing in a CD isn’t going to reap a high return on investment. So for those who are looking for higher returns, riskier investments are the way to go.

Remember the Principles of Good Investing

Investors focused on seeing huge returns over the short-term may set themselves up for disappointment. Instead, remembering basic tenets of responsible investing can best prep an investor for long-term success.

First up: diversification. It can be a good idea to invest in a wide variety of assets — stocks, bonds, real estate, etc., and a wide variety of investments within those subgroups. That’s because each type of asset tends to react differently to world events and market forces. Due to that, a diverse portfolio can be a less risky portfolio.

Time is another important factor when investing. Investing early may result in larger returns in the long-term. That’s largely because of compound interest, which is when interest is earned on an initial investment, along with the returns already accumulated by that investment. Compound interest adds to your returns.

Investing with SoFi

While every investor wants a “good return” on their investments, there isn’t one way to achieve a good return — and different investments have different rates of return, and different risk levels. Investing in CDs tends to deliver lower returns, while stocks (which are more volatile) may deliver higher returns but at much greater risk.

Your own investing strategy and asset allocation will have an influence on the potential returns of your portfolio over time.

Ready to invest in your goals? It’s easy to get started when you open an Active Invest account with SoFi invest. You can invest in stocks, exchange-traded funds (ETFs), and more. SoFi doesn’t charge commissions, and other fees apply (full fee disclosure here). Members can access complimentary financial advice from a professional.

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.

SoFi Invest®

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

Feb

2024

The Black-Scholes Model, Explained

By Brian Nibley | Financial Independence, Growing Wealth, invest, Investing | Comments Off

Table of Contents

What Is the Black-Scholes Model?
The History of the Black-Scholes Model
What Does the Black-Scholes Model Tell?
The Black-Scholes Formula
Why Is the Black-Scholes Model Important?
How Accurate Is the Black-Scholes Model?

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.

💡 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 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.

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.

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.

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Feb

2024

What Are Collateralized Debt Obligations (CDO)?

By Inyoung Hwang | Growing Wealth, invest, Investing | Comments Off

Table of Contents

How Do CDOs Work?
Tranches in CDOs
What Are Synthetic CDOs?
CDOs vs CLOs
Collateralized Debt Obligations and the 2008-09 Housing Crisis
CDO Comeback

Collateralized debt obligations are complex financial products that bundle multiple bonds and loans into single securities.

These packaged securities are then sold in the market, typically to institutional investors. CDOs became more widely known to the general public due to their role in the 2008-2009 financial crisis.

Individual investors cannot easily buy CDOs. However, the 2008 financial crisis and subsequent recession revealed the interconnected nature of markets, as well as how losses on Wall Street can have ripple effects on the broader economy.

Therefore, it can be important for everyday individuals to grasp the role that complex financial instruments like collateralized debt obligations have in markets.

Key Points

• Collateralized debt obligations (CDOs) are complex financial products that bundle multiple bonds and loans into single securities.

• CDOs are sold in the market to institutional investors and became more widely known due to their role in the 2008-2009 financial crisis.

• CDOs work by using the payments from underlying loans, bonds, and other types of debt as collateral.

• CDOs are typically sliced into tranches that hold varying degrees of risk and are sold to investors.

• Synthetic CDOs invest in derivatives, while regular CDOs invest in bonds, mortgages, and loans. CLOs are a subset of CDOs that gather debt from different companies.

How Do CDOs Work?

“Collateral” in finance is a term that refers to the security that lenders may require in return for lending money. In collateralized debt obligations, the collateral are the payments from the underlying loans, bonds, and other types of debt.

CDOs are considered derivatives since their prices are derived from the performance of the underlying bonds and loans. The institutional investors who tend to hold CDOs may collect the repayments from the original borrowers in the securities.

The returns of CDOs depend on the performance of the underlying debt. CDOs are popular because they allow lenders, usually banks, to turn a relatively illiquid security — like a bond or loan — into a more liquid asset.

💡 Quick Tip: Before opening any investment account, consider what level of risk you are comfortable with. If you’re not sure, start with more conservative investments, and then adjust your portfolio as you learn more.

Tranches in CDOs

CDOs are typically sliced into so-called tranches that hold varying degrees of risk and then these slices are sold to investors.

The most senior tranche is the highest rated by credit rating firms like S&P and Moody’s. The highest credit rating possible is AAA. Holders of the most senior or highest-rated tranche generally receive the lowest yield but are the last group to absorb losses in cases of default.

The most junior tranche in CDOs is sometimes unrated. Investors of this layer earn the highest yields but are the first to absorb credit losses. The middle tranche is usually rated between BB to AA.

Recommended: How Do Derivatives Work?

What Are Synthetic CDOs?

Regular, plain-vanilla CDOs invest in bonds, mortgages, and loans. In contrast, synthetic collateralized debt obligations invest in derivatives.

So instead of bundling corporate bonds or home mortgages, synthetic CDOs bundle derivatives like credit default swaps, options contracts, or other types of contracts. Keep in mind, these derivatives are themselves tied to another asset, such as loans or bonds.

Investors of regular CDOs get returns from the payments made on corporate debt or mortgage loans. Holders of synthetic CDOs get returns from the premiums associated with the derivatives.

CDOs vs CLOs

Collateralized loan obligations are a subset of CDOs. Instead of bundling up an array of different types of debt, CLOs more specifically gather together debt from hundreds of different companies, often this debt is considered below investment grade.

CLOs are considered by some market observers to be safer than CDOs, but both are risky debt products. CLOs do however tend to be more diversified across firms and sectors, while CDOs run the risk of being concentrated in a single debt type, such as mortgage loans during the 2008 financial crisis.

According to S&P, no U.S. AAA-rated CLO has ever defaulted. Also, CDOs can have a higher percentage of lower-rated debt. According to the ratings firm Moody’s, CDOs are allowed to hold up to 17.5% of their portfolio in Caa-rated assets and below (e.g. very high credit risk). That compares to the 7.5% in CLOs.

Collateralized Debt Obligations and the 2008-09 Housing Crisis

CDOs of mortgage-backed securities became notorious during the subprime housing crisis of 2008 and 2009. A selloff in the CDO market was said to amplify broader economic weakness in the economy.

Banks had been weakening lending standards when it came to home mortgages, allowing individuals to buy home that may have been too expensive for them.

Meanwhile, Wall Street banks were packaging home loans — some risky and subprime — into CDOs in the years leading up to the financial crisis. Ratings firms labeled these mortgage-backed CDOs as safe, on the premise that homeowners were a group of creditors less likely to default.

A mortgage-backed CDO holds many individual mortgage bonds. The mortgage bonds, in turn, packaged thousands of individual mortgages. These mortgage CDOs were considered to be of limited risk because of how they were diversified across many mortgage bonds.

But homeowners started to become unable to make their monthly payments, and defaults and foreclosures started piling up, leading to a domino effect of losses spread across the financial system.

Recommended: What Is Active Investing?

CDO Comeback

Around 2020, CDOs had a resurgence, with primarily corporate loans rather than home loans being packaged into securities.

A world of ultralow yields in the bond market pushed investors to seek higher-yielding markets. The average yield stands at just 2%, while trillions of dollars in debt trades at negative rates. In contrast, CDOs can yield up to 10%.

This time around hedge funds and private-equity firms, rather than banks, became the big players in the CDO market. Hedge funds are the new buyers–accounting for 70% of volume in the market. Banks were responsible for 10% of volumes in 2019, compared with 50% in the past.

💡 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).

The Takeaway

Collateralized debt obligations or CDOs are financial structures that bundle together different types of debt and sell shares of these bundled securities to investors.

The return investors might see from these debt-based, derivative securities depends on the ongoing payments from the debt holders. CDOs are typically purchased by institutional investors, not retail investors, but it can be useful to know about this market sector.

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.

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