Equity options can act as an alternative to credit default swaps for detecting a company’s credit risk. Photo via Getty Images

Up until the 2007-2009 financial crisis, credit default swaps (CDS) were a predominant method for predicting the probability of corporate default. CDS function like insurance for loan assets — if an asset defaults, the bank who purchased the CDS would recoup their loss. Higher-risk assets usually have higher premiums, and in this way the price of a CDS indicates the probability of default.

When the housing market crashed in 2007, the CDS market crashed along with it when banks had to pay out more than they had expected. The CDS market is not expected to ever return to its previous high, leaving a void in market-driven estimates for determining an asset’s default probability.

To fill that void, a team of researchers including Rice Business Professor Robert Dittmar created an alternative method for measuring default risk: equity options data. The team found that equity options not only correlate with CDS data in terms of accurate prediction of default but also provide additional insights on what types of assets are more likely to default, and when they will default.

There are two types of options, a call option, which is essentially a bet that a stock’s price will be higher than a contracted value (the strike price) and a put option, which is a bet that a stock’s price will be less than a contracted value.

A put is often viewed as an insurance contract — if you hold a stock, but also a put option on it, you limit your loss on the stock if the stock price falls.

“What we are looking at is essentially how expensive put options get,” says Dittmar. “If the market thinks a company is likely to default, it expects that its stock value will fall (almost to zero). As a result, put options, which represent insurance against this loss become more expensive. We are looking at how these option prices change to see if they inform us about the probabilities of default.”

According to Dittmar and his team, this approach has several advantages. 1) There are more stocks with options than CDS. 2) The CDS market is drying up whereas the option market remains liquid. And 3) Because of the nature of an option contract, and the fact that in principle equity holders have the lowest claim on a company’s assets, this approach may allow investors to predict losses in case of default.

The team looked at CDS quotes on 276 firms between 2002 and 2017, focusing attention on entities that had quote data available on one-year credit default swaps. The 15-year sample enabled the researchers to analyze the money lost through defaults over a longer period of time, including the 2007-2009 financial crisis.

Using equity options data as a predictor of default led to some interesting insights. First, there are two components that investors in corporate bonds think about when weighing default risk — the probability of default and (should there be a default) how much of the bond’s principal they will get back (i.e., recovery rate). “What we see is that credit ratings imply different levels of default thresholds, which may mean that investors believe that there are differences in the amount that debt holders will lose in the case of default,” says Dittmar.

Second, option-implied default probabilities correlate to historical changes in the economy. Default probabilities are higher in bad economic times and for firms with poorer credit ratings and financial positions. Default spikes are more likely during times of economic turbulence, such as the financial crisis of 2007-2009, which correlated with the decline of the CDS market after an onslaught of debt defaults during the recession. Assets are less likely to default during times of economic expansion. Over the period of 2013-2017, forecasted losses through defaults hovered around 15%.

The research sample ends in 2017, and the paper was published in 2020, about a month after the start of the coronavirus pandemic. Since then, there have been unprecedented changes in the economy, and some economists are anticipating another recession in 2023. With such instability in the market, multiple methods of predicting losses should be especially relevant. This research suggests that the equity options market may provide additional ways of finding the probability of these losses.

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This article originally ran on Rice Business Wisdom and was based on research from Robert Dittmar, professor of finance at the Jones Graduate School of Business at Rice University.

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Rice Business Plan Competition awards $1.4M to 2026 student teams

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Editor's note: This article has been updated to correct the total amount of investment and cash prizes awarded at the RBPC.

Another team from the Great Lakes State took home top honors and investments at this year's Rice Business Plan Competition.

BRCĒ, a material-tech startup from Michigan State University, took home the top-place finish and the largest investment total at the annual Houston event. It has developed Lattice-Grip technology to create utility-based polymers that can replace traditional fabric. The materials are stronger, fire-resistant and more stable than traditional textiles, according to the company. Last year, the University of Michigan's Intero Biosystems won first-place finish and the largest investment total of $902,000.

In total, the RBPC doled out more than $1.4 million in investment and cash prizes, according to Rice. Over the three-day event, held April 9-11, the 42 competing startups presented their business plans to 300 angel, venture capital and corporate investors. Seven finalists were selected and each competing startup received at least $950 in prizes for placement in the competition.

Three Texas teams, including one from Houston, were named among the finalists. Here's who won big this year.

BRCĒ, Michigan State University — $571,500

The recent Shark Tank alum finished in first place for its utility-based polymers technology.

  • $200,000 Goose Capital Investment Grand Prize
  • $100,000 The OWL Investment Prize
  • $100,000 Houston Angel Network Investment Prize
  • $75,000 The Indus Entrepreneurs (TiE) Texas Angels Investment Prize
  • $50,000 nCourage Investment Network’s Courageous Women Entrepreneur Investment Prize
  • $25,000 New Climate Ventures Sustainable Investment Prize
  • $20,000 Aramco Innovator Cash Prize
  • $1,000 Anbarci Family Company Showcase Prize
  • $500 Mercury Fund Elevator Pitch Competition Prize – Consumer Hard Tech

Legion Platforms, Arizona State University — $425,500

The startup won second place for its multiplayer gaming platform that can be accessed with slow internet speeds.

  • $100,000 Anderson Family Fund & Finger Interests Second Place Investment Prize
  • $200,000 Goose Capital Investment Prize
  • $100,000 The OWL Investment Prize
  • $25,000 Pearland EDC Spirit of Entrepreneurship Cash Prize
  • $500 Mercury Fund Elevator Pitch Competition Prize – Consumer

Imagine Devices, University of Texas at Austin — $101,000

The pediatric medical device company won third place for its multifunction neonatal feeding tube, known as Trinity Tube

  • $50,000 Anderson Family Fund & Finger Interests Third Place Investment Prize
  • $25,000 Pearland EDC Spirit of Entrepreneurship Cash Prize
  • $25,000 The Eagle Investors Investment Prize
  • $1,000 Anbarci Family Company Showcase Prize

Altaris MedTech, University of Arkansas – $6,000

The startup won fourth place for its pain-free strep test.

  • $5,000 Norton Rose Fulbright Fourth Place Prize
  • $1,000 Mercury Fund Elevator Pitch Competition Prize — Overall Winner

Routora, University of Notre Dame & University of Texas at Austin – $5,500

The team won fifth place for its route optimization app that works to reduce fuel costs, travel time and carbon emissions

  • $5,000 Chevron Fifth Place Prize
  • $500 Mercury Fund Elevator Pitch Competition Prizes — Digital

DialySafe, Rice University — $5,500

The startup won sixth place for its technology that aims to make at-home peritoneal dialysis simpler and safer.

  • $5,000 ExxonMobil Sixth Place Prize
  • $500 Mercury Fund Elevator Pitch Competition Prizes — Life Science

Arrow Analytics, Texas A&M University – $6,000

The startup won seventh place for its AI-powered sizing system for carry-on baggage.

  • $5,000 Shell Ventures Seventh Place Prize
  • $1,000 Anbarci Family Company Showcase Prizes


Other significant prizes included:

BiliRoo, University of Michigan – $26,000

  • $25,000 Southwest National Pediatric Device Consortium Pediatric Device Cash Prize
  • $1,000 Anbarci Family Company Showcase Prizes

BeamFeed, City University of New York – $25,000

  • $25,000 Amentum and WRX Companies Rising Stars Space Technology and Commercial Aerospace Cash Prize

Grapheon, University of Pittsburgh — $20,000

  • $20,000 Aramco Innovator Cash Prize

Last year, the Rice Business Plan Competition facilitated over $2 million in investment and cash prizes. According to Rice, more than 910 startups have raised more than $6.9 billion in capital through the competition over the last 25 years.

See a full list of this year's winners and stream rounds from the competition here.

Here's the income it takes to live comfortably in Houston in 2026

Money Talk

2026 report analyzing how much it costs to live "in sustainable comfort" in the biggest U.S. cities has found Houston residents have the 11th lowest salary requirement to live a comfortable life in 2026.

SmartAsset's annual report found single adult residents in Houston need to make $89,981 a year to qualify as "financially stable." Compared to last year, single Houstonians needed to make $83 more to live comfortably in the city.

Families with two working parents and two children need to make a household income of $204,672 to have a financially stable life in Houston, the report found. That's almost $2,000 less than what families needed to make last year.

To determine the rankings, SmartAsset's analysts examined 100 of the largest U.S. cities and used the latest cost of living data – such as the costs for housing, food, transportation, and income taxes where applicable – from the MIT Living Wage Calculator for childless individuals and for two working adults with two children.

For the purpose of the study, the 50/30/20 budgeting strategy was used to determine "comfortable lifestyle" costs for both individuals and families: 50 percent of income to cover needs and living expenses, 30 percent for "wants," and 20 percent for savings or paying down debt.

Here's breakdown of a Houston resident's comfortable lifestyle based on SmartAsset's findings:

  • $44,991 dedicated to needs and living expenses
  • $26,994 dedicated to wants
  • $17,996 dedicated to savings or debt repayment

This is SmartAsset's interpretation of a comfortable lifestyle for families of four:

  • $102,336 dedicated to needs and living expenses
  • $61,402 dedicated to wants
  • $40,934 dedicated to savings or debt repayment
SmartAsset said single individuals and families should compare the fluctuating local cost of living and their long-term goals to fully "understand the context" of their respective household incomes. But it's worth pointing out that a financially stable life in Houston isn't quite attainable for many residents: The city had a median household income of $64,361 in 2024, according to the U.S. Census Bureau.

Comfortable salaries in other Texas cities

Elsewhere in Texas, the report found that families in the Dallas-Fort Worth suburbs Frisco and McKinney "are closest to a comfortable salary."

"In Frisco, the median household earns $145,444 – substantially higher than the national median of $83,730," the report's author wrote. "This figure also accounts for 63.1 percent of the $230,464 income a family of four in Frisco needs to live comfortably. In McKinney, TX, the $124,177 median household income accounts for 53.9 percent of the $230,464 needed."

Both cities also tied with Plano for the 29th highest salary needed nationally to live comfortably in 2026. Single adults living in these cities need to make $109,242 a year to live a financially stable life this year.


On the opposite end, San Antonio has the lowest salaries needed to live comfortably in the U.S. Single adults only need to make $83,242 a year, and $192,608 for families of four.

Houston medtech startup clears FDA approval for new surgical tool

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Houston-based Prana Surgical will soon bring a new electrosurgical tool to operating rooms around the country. The Prana System officially cleared U.S. Food and Drug Administration (FDA) approval earlier this month.

"Receiving FDA clearance for the Prana System represents a defining milestone for our company," Joanna Nathan, CEO and co-founder of Prana Surgical, said in a news release. "Surgeons today are increasingly focused on achieving precise outcomes while minimizing disruption to healthy tissue. The Prana System was designed to support that shift by integrating targeting and excision into a single, streamlined tool."

Prana Surgical began as Prana Thoracic in 2022. Back then, the company primarily focused on developing screening tools for lung cancer diagnosis. It raised $6 million in series A funding rounds in 2023 and 2024 before transitioning to broader surgical needs in 2025.

The Prana System is a minimally invasive, image-guided, single-use tissue extraction tool designed to retrieve samples without damaging healthy tissue. The tool is still designed with the respiratory system in mind, helping Prana in the fight against lung cancer and other thoracic diseases.

Reducing the impact of tissue extraction via electrosurgery and enhanced image scanning can significantly reduce complications. The Prana System combines localization and tissue-cutting capabilities in one, which keeps surgeons from having to swap out components during a procedure, making for a smoother process. It can core, cut and feel blood vessels on the way toward the intended target, giving surgeons greater control over tissue preservation.

"Electrosurgery is foundational to modern surgery, but there is still opportunity to improve how energy-based tools are applied in minimally invasive settings," Nathan added. "Our goal is to introduce a new class of image-guided surgical tools that enable more precise intervention across a range of procedures."

The company projects sales of $7.5 billion from the Prana System in the United States, estimating that 2.5 million surgical modules will be able to use the new tool. While starting out focused on biopsies, the company plans to evolve the system into other procedures, such as ablation, in the future. It is also planning for a controlled U.S. clinical rollout as it moves toward commercialization