Optrontec (082210.KQ) Stock Price

Optrontec Price

CLOSED
1,921.00KRW-55.00 (-2.82 %)
Market closed

Over the last 19 years Optrontec grew revenue by 10.6% annually, reaching 217.96 B KRW. Earnings per share have declined at 7.5% per year over the last 19 years. For Optrontec, the net margin of 12.3% is up versus -3.7% a few years ago. At today's price the dividend yield works out to roughly 1.56%. The payout ratio is around 13% of earnings. The stock trades about 49% above its 52-week low.

Optrontec stock price

Volume
Ex-Dividend
Details

Stock Price

ⓘ

How to Read This Chart

This chart tracks the historical stock price of Optrontec 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 Optrontec 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 Optrontec's price chart to a market index like the S&P 500 can reveal whether the stock is outperforming or underperforming the broader market.

Optrontec Stock Price History
DateOptrontec Price
7/16/20261,921.00 KRW
7/15/20261,976.00 KRW
7/14/20261,950.00 KRW
7/13/20261,821.00 KRW
7/10/20261,890.00 KRW
7/9/20261,755.00 KRW
7/8/20261,568.00 KRW
7/7/20261,654.00 KRW
7/6/20261,760.00 KRW
7/3/20261,514.00 KRW
7/2/20261,500.00 KRW
7/1/20261,559.00 KRW
6/30/20261,735.00 KRW
6/29/20261,804.00 KRW
6/26/20261,760.00 KRW
6/25/20261,527.00 KRW
6/24/20261,314.00 KRW
6/23/20261,292.00 KRW
6/22/20261,337.00 KRW
6/19/20261,300.00 KRW
6/18/20261,367.00 KRW
6/17/20261,437.00 KRW
6/16/20261,415.00 KRW
6/15/20261,424.00 KRW
6/12/20261,473.00 KRW
6/11/20261,477.00 KRW
6/10/20261,422.00 KRW
6/9/20261,553.00 KRW
6/8/20261,404.00 KRW
6/5/20261,456.00 KRW
6/4/20261,430.00 KRW
6/2/20261,524.00 KRW
6/1/20261,561.00 KRW
5/29/20261,607.00 KRW
5/28/20261,684.00 KRW
5/27/20261,684.00 KRW
5/26/20261,804.00 KRW
5/22/20261,757.00 KRW
5/21/20261,700.00 KRW
5/20/20261,651.00 KRW
5/19/20261,675.00 KRW
5/18/20261,706.00 KRW
5/15/20261,762.00 KRW
5/14/20261,725.00 KRW
5/13/20261,708.00 KRW
5/12/20261,761.00 KRW
5/11/20261,832.00 KRW
5/8/20261,898.00 KRW
5/7/20261,773.00 KRW
5/6/20261,880.00 KRW
5/4/20261,810.00 KRW
4/30/20261,860.00 KRW
4/29/20261,879.00 KRW
4/28/20261,935.00 KRW
4/27/20261,959.00 KRW
4/24/20262,015.00 KRW
4/23/20261,996.00 KRW
4/22/20262,070.00 KRW
4/21/20262,045.00 KRW
4/20/20261,901.00 KRW
4/17/20261,903.00 KRW
4/16/20261,930.00 KRW
4/15/20261,935.00 KRW
4/14/20261,916.00 KRW
4/13/20261,926.00 KRW
4/10/20261,955.00 KRW
4/9/20261,896.00 KRW
4/8/20261,901.00 KRW
4/7/20261,892.00 KRW
4/6/20261,898.00 KRW
4/3/20261,924.00 KRW
4/2/20261,891.00 KRW
4/1/20262,020.00 KRW
3/31/20261,893.00 KRW
3/30/20261,990.00 KRW
3/27/20262,075.00 KRW
3/26/20262,070.00 KRW
3/25/20262,030.00 KRW
3/24/20262,130.00 KRW
3/23/20261,999.00 KRW
3/20/20262,100.00 KRW
3/19/20262,055.00 KRW
3/18/20262,035.00 KRW
3/17/20262,020.00 KRW
3/16/20262,030.00 KRW
3/13/20262,010.00 KRW
3/12/20262,020.00 KRW
3/11/20262,080.00 KRW
3/10/20261,981.00 KRW
3/9/20261,900.00 KRW
3/6/20262,090.00 KRW
3/5/20262,095.00 KRW
3/4/20261,844.00 KRW
3/3/20262,225.00 KRW
2/27/20262,315.00 KRW
2/26/20262,390.00 KRW
2/25/20262,400.00 KRW
2/24/20262,300.00 KRW
2/23/20262,420.00 KRW
2/20/20262,350.00 KRW
2/19/20262,085.00 KRW
2/13/20262,005.00 KRW
2/12/20262,090.00 KRW
2/11/20262,165.00 KRW
2/10/20262,015.00 KRW
2/9/20261,999.00 KRW
2/6/20261,957.00 KRW
2/5/20262,055.00 KRW
2/4/20262,020.00 KRW
2/3/20261,940.00 KRW
2/2/20261,858.00 KRW
1/30/20261,889.00 KRW
1/29/20261,905.00 KRW
1/28/20261,951.00 KRW
1/27/20261,913.00 KRW
1/26/20261,900.00 KRW
1/23/20261,924.00 KRW
1/22/20261,952.00 KRW
1/21/20262,000.00 KRW
1/20/20261,841.00 KRW
1/19/20261,849.00 KRW
1/16/20261,724.00 KRW
1/15/20261,765.00 KRW
1/14/20261,877.00 KRW
1/13/20261,756.00 KRW
1/12/20261,686.00 KRW
1/9/20261,663.00 KRW
1/8/20261,680.00 KRW
1/7/20261,757.00 KRW
1/6/20261,706.00 KRW
1/5/20261,714.00 KRW
1/2/20261,758.00 KRW
12/30/20251,697.00 KRW
12/29/20251,687.00 KRW
12/26/20251,716.00 KRW
12/24/20251,710.00 KRW
12/23/20251,742.00 KRW
12/22/20251,814.00 KRW
12/19/20251,709.00 KRW
12/18/20251,614.00 KRW
12/17/20251,618.00 KRW
12/16/20251,625.00 KRW
12/15/20251,620.00 KRW
12/12/20251,663.00 KRW
12/11/20251,697.00 KRW
12/10/20251,698.00 KRW
12/9/20251,709.00 KRW
12/8/20251,699.00 KRW
12/5/20251,699.00 KRW
12/4/20251,707.00 KRW
12/3/20251,700.00 KRW
12/2/20251,700.00 KRW
12/1/20251,687.00 KRW
11/28/20251,684.00 KRW
11/27/20251,617.00 KRW
11/26/20251,624.00 KRW
11/25/20251,603.00 KRW
11/24/20251,626.00 KRW
11/21/20251,599.00 KRW
11/20/20251,638.00 KRW
11/19/20251,586.00 KRW
11/18/20251,632.00 KRW
11/17/20251,680.00 KRW
11/14/20251,690.00 KRW
11/13/20251,724.00 KRW
11/12/20251,728.00 KRW
11/11/20251,681.00 KRW
11/10/20251,750.00 KRW
11/7/20251,780.00 KRW
11/6/20251,834.00 KRW
11/5/20251,870.00 KRW
11/4/20251,933.00 KRW
11/3/20251,917.00 KRW
10/31/20251,928.00 KRW
10/30/20251,867.00 KRW
10/29/20251,933.00 KRW
10/28/20251,990.00 KRW
10/27/20252,015.00 KRW
10/24/20252,030.00 KRW
10/23/20252,100.00 KRW
10/22/20252,150.00 KRW
10/21/20251,992.00 KRW
10/20/20251,995.00 KRW
10/17/20251,760.00 KRW
10/16/20251,810.00 KRW
10/15/20251,832.00 KRW
10/14/20251,858.00 KRW
10/13/20251,922.00 KRW
10/10/20251,990.00 KRW
10/2/20252,005.00 KRW
10/1/20251,980.00 KRW
9/30/20251,997.00 KRW
9/29/20252,005.00 KRW
9/26/20251,994.00 KRW
9/25/20252,065.00 KRW
9/24/20252,065.00 KRW
9/23/20252,050.00 KRW
9/22/20252,120.00 KRW
9/19/20252,045.00 KRW
9/18/20252,030.00 KRW
9/17/20252,000.00 KRW
9/16/20251,935.00 KRW
9/15/20251,915.00 KRW
9/12/20251,915.00 KRW
9/11/20251,897.00 KRW
9/10/20251,908.00 KRW
9/9/20251,909.00 KRW
9/8/20251,940.00 KRW
9/5/20251,918.00 KRW
9/4/20251,880.00 KRW
9/3/20251,905.00 KRW
9/2/20251,910.00 KRW
9/1/20251,932.00 KRW
8/29/20251,965.00 KRW
8/28/20251,985.00 KRW
8/27/20252,010.00 KRW
8/26/20251,976.00 KRW
8/25/20252,035.00 KRW
8/22/20252,010.00 KRW
8/21/20251,987.00 KRW
8/20/20251,984.00 KRW
8/19/20251,965.00 KRW
8/18/20251,992.00 KRW
8/14/20251,987.00 KRW
8/13/20252,055.00 KRW
8/12/20251,962.00 KRW
8/11/20252,000.00 KRW
8/8/20251,824.00 KRW
8/7/20251,781.00 KRW
8/6/20251,716.00 KRW
8/5/20251,650.00 KRW
8/4/20251,643.00 KRW
8/1/20251,590.00 KRW
7/31/20251,649.00 KRW
7/30/20251,650.00 KRW
7/29/20251,640.00 KRW
7/28/20251,627.00 KRW
7/25/20251,652.00 KRW
7/24/20251,660.00 KRW
7/23/20251,714.00 KRW
7/22/20251,760.00 KRW
7/21/20251,780.00 KRW
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Optrontec Revenue, EBIT, Net Income

  • 3 Years

  • 5 Years

  • 10 Years

  • 25 Years

  • Max

Revenue
EBIT
Net Income
Details
Date
Revenue
EBIT
Net Income
Jan 1, 2019
238.90 B KRW
22.32 B KRW
10.01 B KRW
Jan 1, 2020
206.73 B KRW
4.51 B KRW
-7.68 B KRW
Jan 1, 2021
200.90 B KRW
-4.20 B KRW
-2.57 B KRW
Jan 1, 2022
198.23 B KRW
-46.09 B KRW
-77.92 B KRW
Jan 1, 2023
233.00 B KRW
10.08 B KRW
2.42 B KRW
Jan 1, 2024
217.96 B KRW
-4.45 B KRW
26.77 B KRW
Jan 1, 2025 (e)
246.44 B KRW
12.12 B KRW
0.00 KRW
Jan 1, 2026 (e)
270.68 B KRW
15.15 B KRW
10.06 B KRW

Optrontec Income Statement, Balance Sheet, Cash Flow Statement

Last updated Jul 20, 2026, 8:17 PM
 
REVENUEB KRW
REVENUE GROWTH%
GROSS MARGIN%
GROSS INCOMEB KRW
EBITB KRW
EBIT MARGIN%
NET INCOMEB KRW
NET INCOME GROWTH%
DIV.KRW
DIV. GROWTH%
SHARESM
201120122013201420152016201720182019202020212022202320242025e2026e
111.81171.34202.7582.96135.48138.08154.61143.58238.90206.73200.90198.23233.00217.96246.44270.68
-6.8453.2318.33-59.0863.291.9211.98-7.1466.39-13.47-2.82-1.3317.54-6.4613.079.84
21.8121.3825.75-3.1119.3231.5932.4028.6422.1120.4417.881.9621.229.859.859.85
24.3936.6352.20-2.5826.1743.6250.0941.1252.8342.2535.913.8849.4321.4824.2826.67
13.1820.9027.79-28.372.1916.8817.1113.5122.324.51-4.20-46.0910.08-4.4512.1215.15
11.7912.2013.71-34.201.6212.2311.079.419.342.18-2.09-23.254.33-2.044.925.60
7.4610.1115.53-30.801.695.544.663.5310.01-7.68-2.57-77.922.4226.77–10.06
-4.3735.5453.53-298.40-105.50226.98-15.83-24.37183.81-176.71-66.472,927.12-103.111,004.46––
–––––––30.0030.0030.00––––30.0030.00
––––––––––––––––
18.0020.0020.0020.0020.0020.0022.0022.0022.0023.0023.1023.8151.3958.9558.9558.95
Details

Income Statement Key Figures

ⓘ

Revenue and Revenue Growth

Revenue is the starting point of every income statement — it measures the total sales Optrontec 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 Optrontec 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 Optrontec'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 Optrontec 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 Optrontec'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.

Optrontec stock margins

The Optrontec margin analysis displays the gross margin, EBIT margin, as well as the profit margin of Optrontec. 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 Optrontec.

  • 3 Years

  • 5 Years

  • 10 Years

  • 25 Years

  • Max

Gross margin
EBIT margin
Profit margin
Details
Date
Gross margin
EBIT margin
Profit margin
Jan 1, 2019
22.11 %
9.34 %
4.19 %
Jan 1, 2020
20.44 %
2.18 %
-3.71 %
Jan 1, 2021
17.88 %
-2.09 %
-1.28 %
Jan 1, 2022
1.96 %
-23.25 %
-39.31 %
Jan 1, 2023
21.22 %
4.33 %
1.04 %
Jan 1, 2024
9.85 %
-2.04 %
12.28 %
Jan 1, 2025 (e)
9.85 %
4.92 %
0.00 %
Jan 1, 2026 (e)
9.85 %
5.60 %
3.72 %

Optrontec Stock Revenue, EBIT, Earnings per Share

The Optrontec earnings per share therefore indicates how much revenue Optrontec 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.

  • 3 Years

  • 5 Years

  • 10 Years

  • 25 Years

  • Max

Revenue per Share
EBIT per share
Earnings per Share
Details
Date
Revenue per Share
EBIT per share
Earnings per Share
Jan 1, 2019
10,859.09 KRW
1,014.68 KRW
454.86 KRW
Jan 1, 2020
8,988.04 KRW
196.04 KRW
-333.74 KRW
Jan 1, 2021
8,698.65 KRW
-181.91 KRW
-111.46 KRW
Jan 1, 2022
8,324.63 KRW
-1,935.74 KRW
-3,272.19 KRW
Jan 1, 2023
4,533.69 KRW
196.15 KRW
47.18 KRW
Jan 1, 2024
3,697.63 KRW
-75.44 KRW
454.19 KRW
Jan 1, 2025 (e)
4,180.82 KRW
205.61 KRW
0.00 KRW
Jan 1, 2026 (e)
4,592.05 KRW
257.02 KRW
170.69 KRW

Optrontec business model & stock analysis

Optrontec 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.

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

Optrontec annual returns

Details

Annual Return

ⓘ

What This Chart Shows

This chart breaks down '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 '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 '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.

Optrontec shares outstanding

The number of shares of Optrontec was 58.95 M in 2025. This indicates how many shares Optrontec is divided into. Since shareholders are the owners of a company, each share represents a small portion of the company's ownership.

  • 3 Years

  • 5 Years

  • 10 Years

  • 25 Years

  • Max

Number of stocks
Details
Date
Number of stocks
Jan 1, 2019
22.00 M Stocks
Jan 1, 2020
23.00 M Stocks
Jan 1, 2021
23.10 M Stocks
Jan 1, 2022
23.81 M Stocks
Jan 1, 2023
51.39 M Stocks
Jan 1, 2024
58.95 M Stocks
Jan 1, 2025 (e)
58.95 M Stocks
Jan 1, 2026 (e)
58.95 M Stocks

Optrontec stock splits

In Optrontec's history, there have been no stock splits.

Optrontec Dividend History

6 years of dividend payments

YearAnnual DividendYoY ChangePayments
202030.00KRW 0.0%—
201930.00KRW 0.0%1×
201830.00KRW↓ 85.0%1×
2007200.00KRW↑ 300.0%—
200650.00KRW↓ 50.0%1×
2005100.00KRW—1×

Optrontec dividend history and estimates

In 2025, Optrontec paid a dividend amounting to 30.00 KRW. Dividend means that Optrontec distributes a portion of its profits to its owners.

  • Max

Dividend
Dividend (Estimate)
Details
Date
Dividend
Dividend (Estimate)
Jan 1, 2005 (e)
0.00 KRW
100.00 KRW
Jan 1, 2006
50.00 KRW
0.00 KRW
Jan 1, 2007
200.00 KRW
0.00 KRW
Jan 1, 2018
30.00 KRW
0.00 KRW
Jan 1, 2019 (e)
0.00 KRW
30.00 KRW
Jan 1, 2020
30.00 KRW
0.00 KRW
Jan 1, 2025 (e)
0.00 KRW
30.00 KRW
Jan 1, 2026 (e)
0.00 KRW
30.00 KRW

Optrontec dividend payout ratio

In 2025, Optrontec had a payout ratio of 11.46%. The payout ratio indicates the percentage of the company's profits that Optrontec distributes as dividends.

  • 3 Years

  • 5 Years

  • 10 Years

  • 25 Years

  • Max

Payout ratio
Details
Date
Payout ratio
Jan 1, 2019
6.60 %
Jan 1, 2020
12.66 %
Jan 1, 2021
12.66 %
Jan 1, 2022
10.64 %
Jan 1, 2023
11.98 %
Jan 1, 2024
11.76 %
Jan 1, 2025 (e)
11.46 %
Jan 1, 2026 (e)
17.58 %
Price targets and forecasts for Optrontec are not yet available.

Optrontec shareholder structure

% Name
10.09166%
ChoiSangHo Corp.
ChoiSangHo Corp.
7.19924%
Im (Ji Yun)
Im (Ji Yun)
0.08482%
Jeong (Dae Hyeon)
Jeong (Dae Hyeon)
0.00000%
Dimensional Fund Advisors, Ltd.
Dimensional Fund Advisors, Ltd.
0.00000%
NH-Amundi Asset Management Co., Ltd.
NH-Amundi Asset Management Co., Ltd.
0.00000%
Dimensional Fund Advisors, L.P.
Dimensional Fund Advisors, L.P.

Optrontec Executives and Management Board

SH

Mr. Sa Gwan Hong

(63)

Vice Chairman · since 2016

Compensation3.82 B KRW
SC

Mr. Sang Ho Choi

(66)

Chairman of the Board, Chief Executive Officer

YY

Mr. Yun Seop Yim

(85)

Chairman-Management · since 2008

CH

Mr. Chang Hyeok Han

(59)

Chief Financial Officer, Vice President

GC

Mr. Gi Sik Cho

(61)

Vice President

Optrontec Supply Chain

Optrontec Supply Chain

Correlation: how closely stock prices move together

Same directionNo relationOpposite
1 companies
#Name1M3M6M1Y2YTrend
1
Hugel
Supplier
0.55
0.23
0.70
0.66
0.38

Frequently asked questions about Optrontec

5 analysts currently rate the Optrontec stock: 4 recommend buying, 1 holding and 0 selling. For 2026, analysts expect Optrontec to generate revenue of 270.68 B KRW and earnings per share of 170.69 KRW.

Optrontec Analyst Price Targets 2026

All fundamentals and in-depth analysis of Optrontec

Our stock analysis for Optrontec 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 Optrontec. If you are looking for more detailed information on these topics, we offer comprehensive analyses on our subpages.

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