dorsaVi (DVL.AX) Stock Price

dorsaVi Price

ASX·CLOSED
0.03
-0.0000 (-0.00 %)
Market closed

Revenue has compounded at 15.6% per year over the past 15 years to 1.13 M AUD. dorsaVi's net margin stands at -134.4%, down from -129.1% several years earlier. The stock trades about 18% above its 52-week low.

dorsaVi stock price

Volume
Details

Stock Price

How to Read This Chart

This chart tracks the historical stock price of dorsaVi over time. You can switch between daily, weekly, and monthly views and select custom time ranges — from a single day to the full available history. Use the toggle to view price changes in absolute currency terms or as a percentage change relative to the starting date.

Total Return vs. Price Return

The "Total Return" toggle includes reinvested dividends on top of the pure price movement. This is critical because dividends can account for a significant portion of long-term returns. Historically, roughly 40 % of the S&P 500's total return has come from dividends. Always compare total return when evaluating a stock's real performance against a benchmark.

Intraday Price Data

When viewing a one-day time frame, the chart displays real-time intraday price movements. This is useful for observing how dorsaVi stock reacts to market openings, earnings releases, or breaking news throughout the trading session.

What to Look For

Look for long-term trends (sustained upward or downward movements over months and years), support and resistance levels (price zones where the stock repeatedly bounces or reverses), and volatility (how much the price fluctuates day to day). Comparing dorsaVi's price chart to a market index like the S&P 500 can reveal whether the stock is outperforming or underperforming the broader market.

dorsaVi Stock Price History
DatedorsaVi Price
9/18/20260.03 AUD
9/17/20260.03 AUD
9/16/20260.03 AUD
9/15/20260.02 AUD
9/14/20260.03 AUD
9/11/20260.02 AUD
9/10/20260.02 AUD
9/9/20260.02 AUD
9/8/20260.02 AUD
9/7/20260.02 AUD
9/4/20260.02 AUD
9/3/20260.02 AUD
9/2/20260.02 AUD
9/1/20260.02 AUD
8/31/20260.02 AUD
8/28/20260.02 AUD
8/27/20260.02 AUD
8/26/20260.02 AUD
8/25/20260.02 AUD
8/24/20260.02 AUD
8/21/20260.03 AUD
8/20/20260.03 AUD
8/19/20260.03 AUD
8/18/20260.03 AUD
8/17/20260.03 AUD
8/14/20260.02 AUD
8/13/20260.02 AUD
8/12/20260.03 AUD
8/11/20260.02 AUD
8/10/20260.02 AUD
Access this data via the Eulerpool API

dorsaVi Revenue, EBIT, Net Income

  • 3 Years

  • 5 Years

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  • 25 Years

  • Max

Revenue
EBIT
Net Income
Details
Date
Revenue
EBIT
Net Income
Jan 1, 2018
3.89 M AUD
-5.03 M AUD
-3.73 M AUD
Jan 1, 2019
2.52 M AUD
-5.26 M AUD
-4.02 M AUD
Jan 1, 2020
2.02 M AUD
-3.96 M AUD
-7.59 M AUD
Jan 1, 2021
1.87 M AUD
-3.08 M AUD
-2.41 M AUD
Jan 1, 2022
2.35 M AUD
-2.53 M AUD
-1.54 M AUD
Jan 1, 2023
1.75 M AUD
-2.34 M AUD
-1.82 M AUD
Jan 1, 2024
1.30 M AUD
-1.71 M AUD
-1.25 M AUD
Jan 1, 2025
1.13 M AUD
-1.88 M AUD
-1.52 M AUD

dorsaVi Income Statement, Balance Sheet, Cash Flow Statement

Last updated Sep 20, 2026, 11:48 AM
 
REVENUEM AUD
REVENUE GROWTH%
GROSS MARGIN%
GROSS INCOMEM AUD
EBITM AUD
EBIT MARGIN%
NET INCOMEM AUD
NET INCOME GROWTH%
SHARESM
2010201120122013201420152016201720182019202020212022202320242025
1.003.003.003.002.002.001.002.001.001.001.00
200.00-33.33-50.00100.00-50.00
100.0066.6766.67100.00100.0050.00100.00100.00100.00100.00100.00
1.001.001.001.001.001.002.002.003.002.001.001.002.001.001.001.00
-1.00-2.00-2.00-4.00-8.00-5.00-4.00-5.00-5.00-3.00-3.00-2.00-2.00-1.00-1.00
-800.00-166.67-133.33-166.67-250.00-150.00-300.00-100.00-200.00-100.00-100.00
-1.00-1.00-3.00-8.00-5.00-3.00-3.00-4.00-7.00-2.00-1.00-1.00-1.00-1.00
200.00166.67-37.50-40.0033.3375.00-71.43-50.00
134.39134.39134.39134.39108.27134.93159.19174.80185.03198.57230.93301.07358.18466.54548.13702.31
Details

Income Statement Key Figures

Revenue and Revenue Growth

Revenue is the starting point of every income statement — it measures the total sales dorsaVi generates from its core business. Revenue growth (expressed as year-over-year percentage change) is one of the most important indicators of business momentum. Sustained growth above 10 % annually is generally considered strong, while declining revenue is a serious warning sign that demands investigation.

Gross Margin

Gross margin = (Revenue − Cost of Goods Sold) ÷ Revenue. It reveals what percentage of each dollar of revenue dorsaVi retains after direct production costs. High gross margins (above 50 %) are typical of asset-light businesses like software and brands, while capital-intensive industries like manufacturing often operate below 30 %. Compare dorsaVi's gross margin to industry peers and track it over time to spot improving or deteriorating pricing power.

EBIT and EBIT Margin

EBIT measures operating profit — what remains after subtracting all operating expenses (including R&D, sales, and administrative costs) from gross profit. The EBIT margin shows this as a percentage of revenue. Because it excludes interest and taxes, EBIT allows fair comparisons between companies with different debt levels and tax jurisdictions. A rising EBIT margin indicates improving operational efficiency.

Net Income and Earnings Per Share (EPS)

Net income is the company's final profit after all expenses, interest, and taxes. Dividing net income by the number of shares outstanding gives you EPS — the single most influential metric in stock valuation. Consistent EPS growth is the primary driver of long-term stock price appreciation. Always check whether EPS growth comes from genuine profit improvement or from share buybacks reducing the share count.

Shares Outstanding

The total number of shares dorsaVi has issued. A declining share count (through buybacks) boosts EPS and signals management confidence. A rising share count (through stock issuance) dilutes existing shareholders. Always monitor this number alongside EPS to get the full picture of per-share value creation.

Analyst Estimates

The projected figures represent consensus estimates from professional analysts. Compare these forecasts against dorsaVi's historical growth rates to assess whether expectations are realistic. A company that consistently beats consensus estimates tends to see its stock price rewarded over time, while repeated misses erode investor confidence.

dorsaVi stock margins

The dorsaVi margin analysis displays the gross margin, EBIT margin, as well as the profit margin of dorsaVi. The EBIT margin (EBIT/sales) indicates the percentage of sales that remains as operating profit. The profit margin shows the percentage of sales that remains for dorsaVi.
  • 3 Years

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  • Max

Gross margin
EBIT margin
Profit margin
Details
Date
Gross margin
EBIT margin
Profit margin
Jan 1, 2018
77.56 %
-129.23 %
-95.75 %
Jan 1, 2019
82.16 %
-209.31 %
-159.87 %
Jan 1, 2020
95.20 %
-196.33 %
-376.04 %
Jan 1, 2021
91.10 %
-164.93 %
-129.10 %
Jan 1, 2022
88.18 %
-107.52 %
-65.28 %
Jan 1, 2023
85.68 %
-133.47 %
-104.02 %
Jan 1, 2024
90.54 %
-131.31 %
-95.66 %
Jan 1, 2025
86.04 %
-166.50 %
-134.38 %

dorsaVi Stock Revenue, EBIT, Earnings per Share

The dorsaVi earnings per share therefore indicates how much revenue dorsaVi has generated per share in a given period. The earnings before interest and taxes per share shows how much of the operating profit corresponds to each share. The earnings per share indicates how much of the profit belongs to each share.
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Revenue per Share
EBIT per share
Earnings per Share
Details
Date
Revenue per Share
EBIT per share
Earnings per Share
Jan 1, 2018
0.02 AUD
-0.03 AUD
-0.02 AUD
Jan 1, 2019
0.01 AUD
-0.03 AUD
-0.02 AUD
Jan 1, 2020
0.01 AUD
-0.02 AUD
-0.03 AUD
Jan 1, 2021
0.01 AUD
-0.01 AUD
-0.01 AUD
Jan 1, 2022
0.01 AUD
-0.01 AUD
-0.00 AUD
Jan 1, 2023
0.00 AUD
-0.01 AUD
-0.00 AUD
Jan 1, 2024
0.00 AUD
-0.00 AUD
-0.00 AUD
Jan 1, 2025
0.00 AUD
-0.00 AUD
-0.00 AUD

dorsaVi business model & stock analysis

The company dorsaVi Ltd is a leading company in the field of wearable technology based in Australia. The company was founded in 2000 by Andrew Ronchi, Andrew Dalziel, and Daniel Dorsch with the vision to improve people's health through the development of technologies that can measure human movement and performance. dorsaVi's business model is based on the development and marketing of wearable technology for use in medicine, rehabilitation, and sports. The company aims to develop innovative, user-friendly, and reliable devices that help users optimize their movement and performance. The products are used by professional athletes, physiotherapists, trainers, and doctors worldwide. dorsaVi's mission is to improve the health and well-being of people and prevent injuries by providing accurate and easy-to-use solutions. The company is built on three main pillars: Sports, Clinical, and Occupational. Each of these pillars has specific products and solutions to help users in different industries and application areas. In the Sports field, dorsaVi offers a wide range of products and solutions for professional athletes and trainers to optimize their performance and prevent injuries. The company's flagship product is the ViPerform system. This system allows athletes to accurately analyze and improve their movements during training or competition. It consists of wireless sensors attached to various parts of the body to capture data on movements, speed, acceleration, and force. The data is then sent to the dorsaVi app in real-time, where it can be analyzed, visualized, and interpreted. In the Clinical field, dorsaVi provides solutions for therapists and doctors to support patients in their recovery after an injury or surgery. The Sentral Clinical Movement Analysis System offered in this field is an advanced system for analyzing human movement. It allows therapists to observe and analyze movement patterns accurately to identify disruptions and weaknesses that may lead to pain or injuries. The collected data can help create individual therapy plans and accelerate recovery. In the Occupational field, dorsaVi develops solutions for companies and employees to improve their health and safety in the workplace. This includes the Sentral Wearable Movement Monitoring System. The system is a wireless and non-invasive solution that allows employers and employees to record and analyze their movement and load profiles in real-time. The collected data can help make ergonomic adjustments in the workplace to prevent injuries and illnesses. Over the years, dorsaVi has received numerous awards for its products and solutions. However, the company continues to strive to develop innovative technologies and products to help people optimize their movement and performance, increase their well-being, and maintain their long-term health.

dorsaVi SWOT Analysis

Strengths

dorsaVi Ltd possesses several strengths that contribute to its success in the market. These include:

  • Advanced sensor technology: The company utilizes cutting-edge sensor technology, allowing for precise and accurate data collection.
  • Wide range of applications: dorsaVi's technology can be applied across various industries, such as healthcare, sports, and workplace ergonomics.
  • Strong research and development capabilities: The company invests heavily in research and development, leading to continuous innovation and new product offerings.
  • Established brand reputation: dorsaVi has built a solid reputation for delivering high-quality, reliable products.

Weaknesses

Despite its strengths, dorsaVi Ltd also faces certain weaknesses that need to be addressed:

  • Relatively high pricing: The cost of dorsaVi's products can be a barrier for some potential customers, limiting market penetration.
  • Dependence on external partnerships: The company relies on strategic partnerships with healthcare providers and other organizations, which may pose a risk if relationships deteriorate.
  • Limited geographic presence: Although dorsaVi operates in multiple countries, its market presence is still concentrated in certain regions, limiting global reach.

Opportunities

There are several opportunities that dorsaVi Ltd can capitalize on to further expand its business:

  • Growing demand for wearable technology: The increasing popularity of wearable devices presents an opportunity for dorsaVi to tap into new consumer markets.
  • Expansion into emerging markets: dorsaVi can explore untapped markets, especially in developing countries where there is a rising need for advanced healthcare and sports technology.
  • Partnerships with major sports teams: By collaborating with renowned sports teams, dorsaVi can enhance its brand visibility and credibility.

Threats

Despite its potential, dorsaVi Ltd faces certain threats that may impact its growth and profitability:

  • Intense competition: The market for wearable technology is highly competitive, with numerous players vying for market share.
  • Regulatory challenges: Adherence to strict regulations and guidelines can create hurdles for dorsaVi in terms of product development and market entry.
  • Rapid technological advancements: The fast-paced nature of technology poses a risk of potential obsolescence if dorsaVi fails to keep up with emerging trends and innovations.

dorsaVi Eulerpool Fair Value

Details

Fair Value Estimate

What Is Fair Value?

Fair value is an estimate of what a stock is truly "worth" based on its financial fundamentals, independent of the current market price. If the calculated fair value is above the current share price, the stock may be undervalued — and vice versa. This chart shows three different fair value approaches so you can cross-check them against each other.

Earnings-Based Fair Value

Calculated by multiplying the current earnings per share (EPS) by the average historical P/E ratio over a selected multi-year period. The smoothing over several years filters out temporary spikes or dips. If this fair value exceeds the market price, it suggests the stock is cheap relative to its earning power.

Example: Fair Value (Earnings) 2022 = EPS 2022 × Average P/E 2019–2021

Revenue-Based Fair Value

Derived by multiplying revenue per share by the average historical price-to-sales ratio. This method is particularly useful for companies with volatile or temporarily depressed earnings, as revenue tends to be more stable than profits. It answers: "At what price has the market historically valued each dollar of this company's sales?"

Example: Fair Value (Revenue) 2022 = Revenue per Share 2022 × Average P/S 2019–2021

Dividend-Based Fair Value

Calculated by dividing the dividend per share by the average historical dividend yield. This approach is most relevant for mature, consistently dividend-paying companies. If the resulting fair value is higher than the current price, it implies the stock offers a better yield than its historical average.

Example: Fair Value (Dividend) 2022 = Dividend per Share 2022 ÷ Average Yield 2019–2021

How to Use This Chart

When all three fair value lines converge above the current price, it strengthens the case that the stock is undervalued. When they diverge, investigate why — it may indicate a structural shift in margins, payout policy, or growth rate. The forward estimates on the right extend the analysis using projected fundamentals, helping you assess whether the current price already reflects future growth expectations.

dorsaVi historical P/E ratio, EBIT multiple, and P/S ratio

dorsaVi annual returns

Details

Annual Return

What This Chart Shows

This chart breaks down dorsaVi's total annual return into two components: price return (gains or losses from stock price movement) and dividend return (income received from dividend payments). Together, they represent the total return an investor would have earned in each calendar year.

Price Return

Price return measures the percentage change in dorsaVi's stock price from January 1st to December 31st of each year. Positive bars indicate the stock appreciated; negative bars show a decline. This is the component most investors focus on, but it tells only part of the story — especially for dividend-paying stocks.

Dividend Return

Dividend return represents the income generated from dividends paid during the year, expressed as a percentage of the starting stock price. While it may seem small in any single year (typically 1–4 % for established companies), dividends compound significantly over decades and have historically contributed roughly 40 % of total stock market returns.

What to Look For

Examine how many years showed positive vs. negative returns to gauge consistency. A stock with mostly positive years and small drawdowns suggests lower risk. Also compare dorsaVi's annual returns to a benchmark index — consistently outperforming the market is a hallmark of a strong investment. Pay attention to the worst years: understanding downside risk is just as important as chasing upside potential.

dorsaVi shares outstanding

The number of shares of dorsaVi was 702.31 M in 2025. This indicates how many shares dorsaVi is divided into. Since shareholders are the owners of a company, each share represents a small portion of the company's ownership.
  • 3 Years

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  • Max

Number of stocks
Details
Date
Number of stocks
Jan 1, 2018
185.03 M Stocks
Jan 1, 2019
198.57 M Stocks
Jan 1, 2020
230.93 M Stocks
Jan 1, 2021
301.07 M Stocks
Jan 1, 2022
358.18 M Stocks
Jan 1, 2023
466.54 M Stocks
Jan 1, 2024
548.13 M Stocks
Jan 1, 2025
702.31 M Stocks
Price targets and forecasts for dorsaVi are not yet available.

dorsaVi Beneficial Ownership Filings (SEC 13D/G)

Free Float
96.6%
Float Shares
1.19 B
Shares Outstanding
1.24 B

dorsaVi Executives and Management Board

15 members · avg. age 37 · 20 % women

Management

AR

Dr. Andrew Ronchi

Chief Executive Officer, Executive Director · since 2008

AC

Mr. Aaron Chan

Chief Financial Officer

JK

Mr. John Kowalczyk

President of Dorsavi US

DR

Mr. Daniel Ronchi

Chief Technical Officer

DW

Mr. Dave Wildermuth

Chief Marketing Officer

MB

Ms. Meagan Blackburn

Chief Innovation Officer

Board of Directors

GA

Mr. Gernot Abl

Non-Executive Chairman of the Board

MM

Mr. Matthew May

Director National and Customer Relationships

VA

Mr. Vineet Agarwal

Non-Executive Director

LT

Mr. Leigh Travers (37)

Non-Executive Director

Frequently asked questions about dorsaVi

The business model of dorsaVi Ltd focuses on providing innovative wearable sensor technologies for the healthcare and performance sectors. This Australian company specializes in developing robust and accurate movement analysis solutions that enable real-time data collection and analysis. By leveraging their expertise in biomechanics and software engineering, dorsaVi aims to improve patient outcomes, optimize sports performance, and enhance workplace safety. Their product portfolio includes ViMove, ViSafe, and ViPerform, which offer customized assessments, monitoring, and training solutions for a diverse range of applications. With a strong emphasis on research and development, dorsaVi continues to drive advancements in wearable technology to benefit individuals and organizations globally.

dorsaVi Ltd is primarily active in the healthcare and sports industries.

Some of the main competitors of dorsaVi Ltd in the market include companies such as Vicon Motion Systems Ltd, Xsens Technologies B.V., and Optitrack.

dorsaVi Ltd, a renowned company in the healthcare industry, has an impressive history and background. Founded in 2000 and headquartered in Melbourne, Australia, dorsaVi specializes in wearable sensor technology. The company aims to improve the detection, prevention, and management of musculoskeletal and neurological conditions. dorsaVi's cutting-edge products, such as the ViMove system, offer accurate and objective movement analysis, helping healthcare professionals and patients optimize treatment plans. With a focus on innovation and research, dorsaVi has gained recognition worldwide, collaborating with leading institutions and healthcare providers. By combining technology and healthcare expertise, dorsaVi Ltd continues to drive advancements in patient care and movement analysis.

dorsaVi Ltd is a leading company that has achieved significant milestones in its operations. Some notable achievements include the successful launch of its innovative ViMove technology, which provides accurate and objective motion analysis for healthcare professionals and athletes. The company's partnership with global corporations has also strengthened its market presence and expanded its reach. Additionally, dorsaVi Ltd has received various industry accolades and awards for its groundbreaking solutions and contributions to the healthcare sector. With continuous innovation and a strong focus on enhancing human movement assessment, dorsaVi Ltd continues to cement its position as a pioneering force in the industry.

dorsaVi Ltd primarily operates and serves in several countries and regions worldwide. Some of the key geographical areas where the company is present include Australia, Singapore, United Kingdom, United States, and New Zealand.

dorsaVi Ltd represents transparency, innovation, and a commitment to improving human movement and performance. With a corporate philosophy centered around precision and evidence-based solutions, dorsaVi develops wearable sensor technology that provides valuable insights into biomechanics and neuromuscular control. By combining their expertise in sports science, physiotherapy, and engineering, the company aims to revolutionize the way individuals assess, manage, and enhance their physical abilities. The focus on accurate data collection and analysis enables dorsaVi to empower athletes, healthcare professionals, and everyday individuals with actionable information for injury prevention, performance optimization, and personalized treatment plans.

7 analysts currently rate the dorsaVi stock: 0 recommend buying, 3 holding and 4 selling.

Converted at the current exchange rate, the dorsaVi share trades at 0.02 EUR (0.03 AUD).

The dorsaVi share (DVL.AX) is listed on 1 stock exchanges, including: ASX (DVL.AX).

dorsaVi Ltd is a technology and healthcare company based in Australia with offices worldwide. The company offers a variety of products and services that contribute to improving health, fitness, and performance. The main business of dorsaVi is the development and marketing of solutions for motion analysis and monitoring. The core areas of work are clinical application, sports performance enhancement, and occupational health and safety. The company offers a range of products and services that focus on the goal of optimizing movement. One key component of dorsaVi's solutions is wireless sensors that are attached to various parts of the body. These sensors measure muscle activity, movement direction, and force exertion, among other things. The data collected is analyzed and visualized using appropriate software. The software platform provides differentiated analytics options. As an important part of dorsaVi's service offering, web-based solutions are also available for different target groups. From professional athletes to patients requiring rapid and accurate rehabilitation, the company provides tailored online solutions that are customized to individual needs. However, dorsaVi's solutions are not therapy but exclusively provide effective diagnostics and, accordingly, an objective assessment of therapy progress. One application area for dorsaVi technology, for example, is orthopedic rehabilitation facilities, where the technology supports patients before or after orthopedic surgeries. Additionally, the technology is also used in performance enhancement for professional athletes. The company has specialized in various body areas to offer targeted solutions for specific problems. Whether it is the back, shoulder, knee, or hip area, the portfolio includes numerous products for different issues. Another important business area for dorsaVi is occupational safety and ergonomics. Companies can use motion sensors to monitor their employees' work environment, identifying and eliminating potential risks. The goal is to make workplaces safer and more productive and thus protect employees in the long run. Innovative thinking and a solid value chain make dorsaVi's products and services unique in their outcomes. With a combination of state-of-the-art sensor technology, user-friendly cloud software, and sound movement research, the company has established a leading position in the motion analysis market. dorsaVi's goal is to continuously improve its solutions and thereby maximize the success of its customers.

The revenue cannot currently be calculated for dorsaVi.

The profit cannot currently be calculated for dorsaVi.

The P/E ratio cannot be calculated for dorsaVi at the moment.

The P/S cannot be calculated for dorsaVi currently.

The Eulerpool Quality Score for dorsaVi is 2/10.

The ISIN of dorsaVi is AU000000DVL0. The ISIN (International Securities Identification Number) is a globally unique identifier for securities.

The ticker of dorsaVi is DVL.AX. The ticker symbol is used to trade dorsaVi shares on the stock exchange.

dorsaVi paid dividends every year for the past 0 years.

dorsaVi is assigned to the 'Health' sector.

The dividends of dorsaVi are distributed in AUD.

Fair ValuePRO
0.02 AUD
Over-/UndervaluationPRO
Fairly valued
Sector
Industry
Biotechnology
Number of shares
Employees
Revenue per Employee
33,220.59 AUD
Revenue growth Ø5 years
EBIT growth Ø5 years
Net Income growth Ø5 years
Website dorsavi.com
Country
Australia
Currency
AUD
Initial public offering
Dec 11, 2013
ISIN
AU000000DVL0
Cusip
Q3254L102
Sedol
BGDS9L6
Market capitalization
29.32 M AUDMicro Cap
52-Week Range
0.020.06AUD
Revenue growth (10Y) > 5%
Revenue growth (3Y) > 5 %
EBIT growth (10Y) > 5%
EBIT growth (3Y) > 5 %
Net debt < 4x EBIT
Profitable since 10Y+
EBIT Drawdown (10Y) < 50%
Return on Equity (ROE) > 15%
ROCE > 15%
Return Expectation > 10%
PEG
P/E ratio
P/Ee
P/Se
EV/EBIT
P/B Ratio
10.34
ROE (Return on Equity)
ROA (Return on Assets)
ROCE (Return on Capital Employed)
ROIC (Return on Invested Capital)
-50.71 %
Gross Margin
86.04 %
EBIT Margin
-166.50 %
Net Margin
-134.38 %
EPS (Earnings Per Share)
-0.00 AUD
Net Debt / EBIT
1.14
Debt/Equity
0.06
Last updated Sep 20, 2026, 11:48 AM

dorsaVi Ticker

ASX · DVL.AX

dorsaVi FIGI

DVL:AU · BBG005KPS2H7DVL:AT · BBG005KPS2J5DVL:AH · BBG005KPS2N0

All fundamentals and in-depth analysis of dorsaVi

Our stock analysis for dorsaVi stock includes important financial indicators such as revenue, profit, P/E ratio, P/S ratio, EBIT, as well as information on dividends. We also assess aspects such as stocks, market capitalization, debt, equity, and liabilities of dorsaVi. If you are looking for more detailed information on these topics, we offer comprehensive analyses on our subpages.