📜 [專欄新文章] Uniswap v3 Features Explained in Depth
✍️ 田少谷 Shao
📥 歡迎投稿: https://medium.com/taipei-ethereum-meetup #徵技術分享文 #使用心得 #教學文 #medium
Once again the game-changing DEX 🦄 👑
Image source: https://uniswap.org/blog/uniswap-v3/
Outline
0. Intro1. Uniswap & AMM recap2. Ticks 3. Concentrated liquidity4. Range orders: reversible limit orders5. Impacts of v36. Conclusion
0. Intro
The announcement of Uniswap v3 is no doubt one of the most exciting news in the DeFi place recently 🔥🔥🔥
While most have talked about the impact v3 can potentially bring on the market, seldom explain the delicate implementation techniques to realize all those amazing features, such as concentrated liquidity, limit-order-like range orders, etc.
Since I’ve covered Uniswap v1 & v2 (if you happen to know Mandarin, here are v1 & v2), there’s no reason for me to not cover v3 as well ✅
Thus, this article aims to guide readers through Uniswap v3, based on their official whitepaper and examples made on the announcement page. However, one needs not to be an engineer, as not many codes are involved, nor a math major, as the math involved is definitely taught in your high school, to fully understand the following content 😊😊😊
If you really make it through but still don’t get shxt, feedbacks are welcomed! 🙏
There should be another article focusing on the codebase, so stay tuned and let’s get started with some background noise!
1. Uniswap & AMM recap
Before diving in, we have to first recap the uniqueness of Uniswap and compare it to traditional order book exchanges.
Uniswap v1 & v2 are a kind of AMMs (automated market marker) that follow the constant product equation x * y = k, with x & y stand for the amount of two tokens X and Y in a pool and k as a constant.
Comparing to order book exchanges, AMMs, such as the previous versions of Uniswap, offer quite a distinct user experience:
AMMs have pricing functions that offer the price for the two tokens, which make their users always price takers, while users of order book exchanges can be both makers or takers.
Uniswap as well as most AMMs have infinite liquidity¹, while order book exchanges don’t. The liquidity of Uniswap v1 & v2 is provided throughout the price range [0,∞]².
Uniswap as well as most AMMs have price slippage³ and it’s due to the pricing function, while there isn’t always price slippage on order book exchanges as long as an order is fulfilled within one tick.
In an order book, each price (whether in green or red) is a tick. Image source: https://ftx.com/trade/BTC-PERP
¹ though the price gets worse over time; AMM of constant sum such as mStable does not have infinite liquidity
² the range is in fact [-∞,∞], while a price in most cases won’t be negative
³ AMM of constant sum does not have price slippage
2. Tick
The whole innovation of Uniswap v3 starts from ticks.
For those unfamiliar with what is a tick:
Source: https://www.investopedia.com/terms/t/tick.asp
By slicing the price range [0,∞] into numerous granular ticks, trading on v3 is highly similar to trading on order book exchanges, with only three differences:
The price range of each tick is predefined by the system instead of being proposed by users.
Trades that happen within a tick still follows the pricing function of the AMM, while the equation has to be updated once the price crosses the tick.
Orders can be executed with any price within the price range, instead of being fulfilled at the same one price on order book exchanges.
With the tick design, Uniswap v3 possesses most of the merits of both AMM and an order book exchange! 💯💯💯
So, how is the price range of a tick decided?
This question is actually somewhat related to the tick explanation above: the minimum tick size for stocks trading above 1$ is one cent.
The underlying meaning of a tick size traditionally being one cent is that one cent (1% of 1$) is the basis point of price changes between ticks, ex: 1.02 — 1.01 = 0.1.
Uniswap v3 employs a similar idea: compared to the previous/next price, the price change should always be 0.01% = 1 basis point.
However, notice the difference is that in the traditional basis point, the price change is defined with subtraction, while here in Uniswap it’s division.
This is how price ranges of ticks are decided⁴:
Image source: https://uniswap.org/whitepaper-v3.pdf
With the above equation, the tick/price range can be recorded in the index form [i, i+1], instead of some crazy numbers such as 1.0001¹⁰⁰ = 1.0100496621.
As each price is the multiplication of 1.0001 of the previous price, the price change is always 1.0001 — 1 = 0.0001 = 0.01%.
For example, when i=1, p(1) = 1.0001; when i=2, p(2) = 1.00020001.
p(2) / p(1) = 1.00020001 / 1.0001 = 1.0001
See the connection between the traditional basis point 1 cent (=1% of 1$) and Uniswap v3’s basis point 0.01%?
Image source: https://tenor.com/view/coin-master-cool-gif-19748052
But sir, are prices really granular enough? There are many shitcoins with prices less than 0.000001$. Will such prices be covered as well?
Price range: max & min
To know if an extremely small price is covered or not, we have to figure out the max & min price range of v3 by looking into the spec: there is a int24 tick state variable in UniswapV3Pool.sol.
Image source: https://uniswap.org/whitepaper-v3.pdf
The reason for a signed integer int instead of an uint is that negative power represents prices less than 1 but greater than 0.
24 bits can cover the range between 1.0001 ^ (2²³ — 1) and 1.0001 ^ -(2)²³. Even Google cannot calculate such numbers, so allow me to offer smaller values to have a rough idea of the whole price range:
1.0001 ^ (2¹⁸) = 242,214,459,604.341
1.0001 ^ -(2¹⁷) = 0.000002031888943
I think it’s safe to say that with a int24 the range can cover > 99.99% of the prices of all assets in the universe 👌
⁴ For implementation concern, however, a square root is added to both sides of the equation.
How about finding out which tick does a price belong to?
Tick index from price
The answer to this question is rather easy, as we know that p(i) = 1.0001^i, simply takes a log with base 1.0001 on both sides of the equation⁴:
Image source: https://www.codecogs.com/latex/eqneditor.php
Let’s try this out, say we wanna find out the tick index of 1000000.
Image source: https://ncalculators.com/number-conversion/log-logarithm-calculator.htm
Now, 1.0001¹³⁸¹⁶² = 999,998.678087146. Voila!
⁵ This formula is also slightly modified to fit the real implementation usage.
3. Concentrated liquidity
Now that we know how ticks and price ranges are decided, let’s talk about how orders are executed in a tick, what is concentrated liquidity and how it enables v3 to compete with stablecoin-specialized DEXs (decentralized exchange), such as Curve, by improving the capital efficiency.
Concentrated liquidity means LPs (liquidity providers) can provide liquidity to any price range/tick at their wish, which causes the liquidity to be imbalanced in ticks.
As each tick has a different liquidity depth, the corresponding pricing function x * y = k also won’t be the same!
Each tick has its own liquidity depth. Image source: https://uniswap.org/blog/uniswap-v3/
Mmm… examples are always helpful for abstract descriptions 😂
Say the original pricing function is 100(x) * 1000(y) = 100000(k), with the price of X token 1000 / 100 = 10 and we’re now in the price range [9.08, 11.08].
If the liquidity of the price range [11.08, 13.08] is the same as [9.08, 11.08], we don’t have to modify the pricing function if the price goes from 10 to 11.08, which is the boundary between two ticks.
The price of X is 1052.63 / 95 = 11.08 when the equation is 1052.63 * 95 = 100000.
However, if the liquidity of the price range [11.08, 13.08] is two times that of the current range [9.08, 11.08], balances of x and y should be doubled, which makes the equation become 2105.26 * 220 = 400000, which is (1052.63 * 2) * (110 * 2) = (100000 * 2 * 2).
We can observe the following two points from the above example:
Trades always follow the pricing function x * y = k, while once the price crosses the current price range/tick, the liquidity/equation has to be updated.
√(x * y) = √k = L is how we represent the liquidity, as I say the liquidity of x * y = 400000 is two times the liquidity of x * y = 100000, as √(400000 / 100000) = 2.
What’s more, compared to liquidity on v1 & v2 is always spread across [0,∞], liquidity on v3 can be concentrated within certain price ranges and thus results in higher capital efficiency from traders’ swapping fees!
Let’s say if I provide liquidity in the range [1200, 2800], the capital efficiency will then be 4.24x higher than v2 with the range [0,∞] 😮😮😮 There’s a capital efficiency comparison calculator, make sure to try it out!
Image source: https://uniswap.org/blog/uniswap-v3/
It’s worth noticing that the concept of concentrated liquidity was proposed and already implemented by Kyper, prior to Uniswap, which is called Automated Price Reserve in their case.⁵
⁶ Thanks to Yenwen Feng for the information.
4. Range orders: reversible limit orders
As explained in the above section, LPs of v3 can provide liquidity to any price range/tick at their wish. Depending on the current price and the targeted price range, there are three scenarios:
current price < the targeted price range
current price > the targeted price range
current price belongs to the targeted price range
The first two scenarios are called range orders. They have unique characteristics and are essentially fee-earning reversible limit orders, which will be explained later.
The last case is the exact same liquidity providing mechanism as the previous versions: LPs provide liquidity in both tokens of the same value (= amount * price).
There’s also an identical product to the case: grid trading, a very powerful investment tool for a time of consolidation. Dunno what’s grid trading? Check out Binance’s explanation on this, as this topic won’t be covered!
In fact, LPs of Uniswap v1 & v2 are grid trading with a range of [0,∞] and the entry price as the baseline.
Range orders
To understand range orders, we’d have to first revisit how price is discovered on Uniswap with the equation x * y = k, for x & y stand for the amount of two tokens X and Y and k as a constant.
The price of X compared to Y is y / x, which means how many Y one can get for 1 unit of X, and vice versa the price of Y compared to X is x / y.
For the price of X to go up, y has to increase and x decrease.
With this pricing mechanism in mind, it’s example time!
Say an LP plans to place liquidity in the price range [15.625, 17.313], higher than the current price of X 10, when 100(x) * 1000(y) = 100000(k).
The price of X is 1250 / 80 = 15.625 when the equation is 80 * 1250 = 100000.
The price of X is 1315.789 / 76 = 17.313 when the equation is 76 * 1315.789 = 100000.
If now the price of X reaches 15.625, the only way for the price of X to go even higher is to further increase y and decrease x, which means exchanging a certain amount of X for Y.
Thus, to provide liquidity in the range [15.625, 17.313], an LP needs only to prepare 80 — 76 = 4 of X. If the price exceeds 17.313, all 4 X of the LP is swapped into 1315.789 — 1250 = 65.798 Y, and then the LP has nothing more to do with the pool, as his/her liquidity is drained.
What if the price stays in the range? It’s exactly what LPs would love to see, as they can earn swapping fees for all transactions in the range! Also, the balance of X will swing between [76, 80] and the balance of Y between [1250, 1315.789].
This might not be obvious, but the example above shows an interesting insight: if the liquidity of one token is provided, only when the token becomes more valuable will it be exchanged for the less valuable one.
…wut? 🤔
Remember that if 4 X is provided within [15.625, 17.313], only when the price of X goes up from 15.625 to 17.313 is 4 X gradually swapped into Y, the less valuable one!
What if the price of X drops back immediately after reaching 17.313? As X becomes less valuable, others are going to exchange Y for X.
The below image illustrates the scenario of DAI/USDC pair with a price range of [1.001, 1.002] well: the pool is always composed entirely of one token on both sides of the tick, while in the middle 1.001499⁶ is of both tokens.
Image source: https://uniswap.org/blog/uniswap-v3/
Similarly, to provide liquidity in a price range < current price, an LP has to prepare a certain amount of Y for others to exchange Y for X within the range.
To wrap up such an interesting feature, we know that:
Only one token is required for range orders.
Only when the current price is within the range of the range order can LP earn trading fees. This is the main reason why most people believe LPs of v3 have to monitor the price more actively to maximize their income, which also means that LPs of v3 have become arbitrageurs 🤯
I will be discussing more the impacts of v3 in 5. Impacts of v3.
⁷ 1.001499988 = √(1.0001 * 1.0002) is the geometric mean of 1.0001 and 1.0002. The implication is that the geometric mean of two prices is the average execution price within the range of the two prices.
Reversible limit orders
As the example in the last section demonstrates, if there is 4 X in range [15.625, 17.313], the 4 X will be completely converted into 65.798 Y when the price goes over 17.313.
We all know that a price can stay in a wide range such as [10, 11] for quite some time, while it’s unlikely so in a narrow range such as [15.625, 15.626].
Thus, if an LP provides liquidity in [15.625, 15.626], we can expect that once the price of X goes over 15.625 and immediately also 15.626, and does not drop back, all X are then forever converted into Y.
The concept of having a targeted price and the order will be executed after the price is crossed is exactly the concept of limit orders! The only difference is that if the range of a range order is not narrow enough, it’s highly possible that the conversion of tokens will be reverted once the price falls back to the range.
As price ranges follow the equation p(i) = 1.0001 ^ i, the range can be quite narrow and a range order can thus effectively serve as a limit order:
When i = 27490, 1.0001²⁷⁴⁹⁰ = 15.6248.⁸
When i = 27491, 1.0001²⁷⁴⁹¹ = 15.6264.⁸
A range of 0.0016 is not THAT narrow but can certainly satisfy most limit order use cases!
⁸ As mentioned previously in note #4, there is a square root in the equation of the price and index, thus the numbers here are for explantion only.
5. Impacts of v3
Higher capital efficiency, LPs become arbitrageurs… as v3 has made tons of radical changes, I’d like to summarize my personal takes of the impacts of v3:
Higher capital efficiency makes one of the most frequently considered indices in DeFi: TVL, total value locked, becomes less meaningful, as 1$ on Uniswap v3 might have the same effect as 100$ or even 2000$ on v2.
The ease of spot exchanging between spot exchanges used to be a huge advantage of spot markets over derivative markets. As LPs will take up the role of arbitrageurs and arbitraging is more likely to happen on v3 itself other than between DEXs, this gap is narrowed … to what extent? No idea though.
LP strategies and the aggregation of NFT of Uniswap v3 liquidity token are becoming the blue ocean for new DeFi startups: see Visor and Lixir. In fact, this might be the turning point for both DeFi and NFT: the two main reasons of blockchain going mainstream now come to the alignment of interest: solving the $$ problem 😏😏😏
In the right venue, which means a place where transaction fees are low enough, such as Optimism, we might see Algo trading firms coming in to share the market of designing LP strategies on Uniswap v3, as I believe Algo trading is way stronger than on-chain strategies or DAO voting to add liquidity that sort of thing.
After reading this article by Parsec.finance: The Dex to Rule Them All, I cannot help but wonder: maybe there is going to be centralized crypto exchanges adopting v3’s approach. The reason is that since orders of LPs in the same tick are executed pro-rata, the endless front-running speeding-competition issue in the Algo trading world, to some degree, is… solved? 🤔
Anyway, personal opinions can be biased and seriously wrong 🙈 I’m merely throwing out a sprat to catch a whale. Having a different voice? Leave your comment down below!
6. Conclusion
That was kinda tough, isn’t it? Glad you make it through here 🥂🥂🥂
There are actually many more details and also a huge section of Oracle yet to be covered. However, since this article is more about features and targeting normal DeFi users, I’ll leave those to the next one; hope there is one 😅
If you have any doubt or find any mistake, please feel free to reach out to me and I’d try to reply AFAP!
Stay tuned and in the meantime let’s wait and see how Uniswap v3 is again pioneering the innovation of DeFi 🌟
Uniswap v3 Features Explained in Depth was originally published in Taipei Ethereum Meetup on Medium, where people are continuing the conversation by highlighting and responding to this story.
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同時也有21部Youtube影片,追蹤數超過361萬的網紅Dan Lok,也在其Youtube影片中提到,If You Have A Great Idea But Don't Know How To Market It, Brush Up On Your Marketing Skills With The Digital Marketing Launchpad. Get In NOW: https://...
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in my master degree 在 AppWorks Facebook 的精選貼文
If you are currently interviewing or looking to add talent to your team, try looking past expertise and take these two qualities into account - people who show initiative and those that have been through adversity, why:
1/ Initiative is contagious.
2/ People with initiative are willing to learn new things, they’ll take on new responsibilities and master their role, all the while spreading their enthusiasm and willingness within their team. Especially in the early-stage startup environment, teams need willingness and hustle to flourish. Expertise is much harder to diffuse.
3 / To identify their initiative, ask candidates about what they were interested in and to what degree did they pursue these interests? This could be anything from painting to knitting, the more obsessed someone is with something, the more they are motivated to learn.
4/ Overcoming adversity brings maturity.
5/ People who have overcome adversity have courage, can stomach ambiguity, and have a track record of beating the odds. These are all critical qualities for early-stage founding team members. These qualities are much more important than how long they held X position for Y period of time at Z company.
6/ What are the hardest problems they had to overcome? How did they prevail and how did these events define them as a person? These questions not only shed light on their origin story but also showcases their value and personality on a much more tangible and human level.
7/ At the end of the day, companies are about people and people are more than just their degrees and resumes. To improve the qualities of your future hires, hire people who take initiative and have overcome adversity.
-----
This marks as my 5th out of my 6 part series on becoming a better founder. I have learnt so much writing out these ideas and thoughts that's been in my head for months! I hope they have brought some value to you. Tune back to my last piece on Wednesday the 27th.
Cheers,
Jack
in my master degree 在 麥克健身 Marky's Training Facebook 的最佳解答
Posted @withregram • @alex_cwy 《Two variations of an wheel roll out 兩種腹輪的訓練方法》
第四波疫情下大家都會選擇家中健身, 市面上有不同種類的健身器材使用, 而腹輪是相對便宜和慳位的工具訓練腹肌, 是家中鍛練腹工具不二之選,而其中腹輪的訓練變化能偏向不同肌肉能參與動作 ,以下會同大家介紹兩個腹輪訓練的變化
📍脊椎帶動
屈曲脊椎 (脊椎前彎)帶動腹輪, 令腰部呈拱形弧度,脊椎屈曲動作能令腹直肌 俗稱六舊腹肌 的參與度上升, 但同時也需要脊椎需要一定的柔軟度才能掌握動作 ,以及腰背有傷患的學生不是太理想動作
📍肩膊帶動
此變化目的是把腹輪帶出及收入的時候, 下背腰保持中立位置, 當收回腹輪的時候,避免使屈曲脊椎帶動動作, 並感覺肩膊下壓(肩伸) 帶動動作, 腹部和臀部保持收緊 ,避免拗腰動作出現, 由於此變化中不需脊椎有任何屈曲動作,所以較為適合有腰背傷患的學員。另外,由於主導動作是肩伸, 所以背闊肌參與度也會增加
如果大家覺得以上資料有用的話 ,不妨like share 同埋follow 我個page啦 , 黎緊都會擺多d不同的健身資訊!
Hoping everyone stay safe under the fourth wave of COVID-19 !! I would like to share two variations of abs wheel roll-out that everyone can try out at home , since abs rollout is a fairly advanced exercise, if you don’t have much experience in abs training , master some basics exercise such as plank , cat-cow to strengthen the mind-muscle connection prior to working on ab wheel
📍Driven by spine
Meaning that “curl the spine” in order to bring the wheel back to your body , this will involve in spinal flexion, which means superficial layer of abs will be engaged (rectus abdominis). However, for some trainee who have lower back injury such as flexion intolerance lower back pain , this maybe not be an ideal abs exercise, Also, it require some degree of motor control and mobility on lumber spine flexion in order to master the exercises
📍Driven by shoulder
The purpose of this variation is to keep the spine neutral through out the exercises and none of the spinal movement will be involved
, rather than “curl the spine”, this cueing of this exercise is to “bring the elbow to your back pocket “ while the spine and pelvic stays neutral . By bringing the elbow back , this will result in more back muscle engagement ( latissimus dorsi). Although this variation doesn’t’t work the superficial layer of abs like the former variation, but it’s a good modification for those who trains around with back pain
Thank you for your time !! If you feel it’s useful please like and share the post and follow my page for more posts !! @markys_strength_performance
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https://www.youtube.com/danlok?sub_confirmation=1
? Join my YouTube Membership to get access to EXCLUSIVE perks ?
https://www.youtube.com/channel/UCs_6DXZROU29pLvgQdCx4Ww/join
Check out these Top Trending Playlists -
1.) Boss In The Bentley - https://www.youtube.com/playlist?list=PLEmTTOfet46OWsrbWGPnPW8mvDtjge_6-
2.) Sales Tips That Get People To Buy - https://www.youtube.com/watch?v=E6Csz_hvXzw&list=PLEmTTOfet46PvAsPpWByNgUWZ5dLJd_I4
3.) Dan Lok’s Best Secrets - https://www.youtube.com/watch?v=FZNmFJUuTRs&list=PLEmTTOfet46N3NIYsBQ9wku8UBNhtT9QQ
Dan Lok has been viewed more than 1.7+ billion times across social media for his expertise on how to achieve financial confidence. And is the author of over a dozen international bestselling books.
Dan has also been featured on FOX Business News, MSNBC, CBC, FORBES, Inc, Entrepreneur, and Business Insider.
In addition to his social media presence, Dan Lok is the founder of the Dan Lok Organization, which includes more than two dozen companies - and is a venture capitalist currently evaluating acquisitions in markets such as education, new media, and software.
Some of his companies include Closers.com, Copywriters.com, High Ticket Closers, High Income Copywriters and a dozen of other brands.
And as chairman of DRAGON 100, the world’s most exclusive advisory board, Dan Lok also seeks to provide capital to minority founders and budding entrepreneurs.
Dan Lok trains as hard in the Dojo as he negotiates in the boardroom. And thus has earned himself the name; The Asian Dragon.
If you want the no b.s. way to master your financial destiny, then learn from Dan. Subscribe to his channel now.
★☆★ CONNECT WITH DAN ON SOCIAL MEDIA ★☆★
YouTube: http://youtube.danlok.link
Dan Lok Blog: http://blog.danlok.link
Dan Lok Shop: https://shop.danlok.link
Facebook: http://facebook.danlok.link
Instagram: http://instagram.danlok.link
Linkedin: http://mylinkedin.danlok.link
Podcast: http://thedanlokshow.danlok.link
#DanLok #HighIncomeSkills #MakeMoneyOnline
Please understand that by watching Dan’s videos or enrolling in his programs does not mean you’ll get results close to what he’s been able to do (or do anything for that matter).
He’s been in business for over 20 years and his results are not typical.
Most people who watch his videos or enroll in his programs get the “how to” but never take action with the information. Dan is only sharing what has worked for him and his students.
Your results are dependent on many factors… including but not limited to your ability to work hard, commit yourself, and do whatever it takes.
Entering any business is going to involve a level of risk as well as massive commitment and action. If you're not willing to accept that, please DO NOT WATCH DAN’S VIDEOS OR SIGN UP FOR ONE OF HIS PROGRAMS.
This video is about How To Master A High-Income Skill That Will Make You Money.
https://youtu.be/wQFLZ1_aEoM
https://youtu.be/wQFLZ1_aEoM
in my master degree 在 Dan Lok Youtube 的精選貼文
Want To Learn A High Income Skill But Got No Idea Where To Start? Watch This As Dan Lok Explains What Were His First 3 High Income Skills. What To Know More About Dan’s Very First Skill - Copywriting? Discover It Here: https://first3skills.danlok.link
When Dan learned his first 3 high income skills, he didn’t even have a name for the skills. It all started because he asked himself one profound question. Watch the video to find out what he did. What do you think your first high income skill should be? Comment below.
? SUBSCRIBE TO DAN'S YOUTUBE CHANNEL NOW ?
https://www.youtube.com/danlok?sub_confirmation=1
Check out these Top Trending Playlists -
1.) Boss In The Bentley - https://www.youtube.com/playlist?list=PLEmTTOfet46OWsrbWGPnPW8mvDtjge_6-
2.) Sales Tips That Get People To Buy - https://www.youtube.com/watch?v=E6Csz_hvXzw&list=PLEmTTOfet46PvAsPpWByNgUWZ5dLJd_I4
3.) Dan Lok’s Best Secrets - https://www.youtube.com/watch?v=FZNmFJUuTRs&list=PLEmTTOfet46N3NIYsBQ9wku8UBNhtT9QQ
Dan Lok has been viewed more than 1.7+ billion times across social media for his expertise on how to achieve financial confidence. And is the author of over a dozen international bestselling books.
Dan has also been featured on FOX Business News, MSNBC, CBC, FORBES, Inc, Entrepreneur, and Business Insider.
In addition to his social media presence, Dan Lok is the founder of the Dan Lok Organization, which includes more than two dozen companies - and is a venture capitalist currently evaluating acquisitions in markets such as education, new media, and software.
Some of his companies include Closers.com, Copywriters.com, High Ticket Closers, High Income Copywriters and a dozen of other brands.
And as chairman of DRAGON 100, the world’s most exclusive advisory board, Dan Lok also seeks to provide capital to minority founders and budding entrepreneurs.
Dan Lok trains as hard in the Dojo as he negotiates in the boardroom. And thus has earned himself the name; The Asian Dragon.
If you want the no b.s. way to master your financial destiny, then learn from Dan. Subscribe to his channel now.
★☆★ CONNECT WITH DAN ON SOCIAL MEDIA ★☆★
YouTube: http://youtube.danlok.link
Dan Lok Blog: http://blog.danlok.link
Dan Lok Shop: https://shop.danlok.link
Facebook: http://facebook.danlok.link
Instagram: http://instagram.danlok.link
Linkedin: http://mylinkedin.danlok.link
Podcast: http://thedanlokshow.danlok.link
#DanLok #HighIncomeSkills #SkillsToLearn
Please understand that by watching Dan’s videos or enrolling in his programs does not mean you’ll get results close to what he’s been able to do (or do anything for that matter).
He’s been in business for over 20 years and his results are not typical.
Most people who watch his videos or enroll in his programs get the “how to” but never take action with the information. Dan is only sharing what has worked for him and his students.
Your results are dependent on many factors… including but not limited to your ability to work hard, commit yourself, and do whatever it takes.
Entering any business is going to involve a level of risk as well as massive commitment and action. If you're not willing to accept that, please DO NOT WATCH DAN’S VIDEOS OR SIGN UP FOR ONE OF HIS PROGRAMS.
This video is about What Were My First 3 High Income Skills?
https://youtu.be/fqQXGLF-zVs
https://youtu.be/fqQXGLF-zVs
in my master degree 在 How to study in France for FREE | Getting my Master's degree ... 的美食出口停車場
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