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Kelly's Law: A unique strategy that approaches investment in a friendly way.



Hello! Today, I would like to talk about an interesting topic called "Kelly's Law." Kelly's Law is a strategy related to investment that aims to efficiently manage one's assets. In this blog post, we will explore what Kelly's Law is, and delve into how to apply it to investments in detail.

  1. What is Kelly's Law? Kelly's Law is a probabilistic investment strategy proposed by J.L. Kelly, an American mathematician, in 1956. This law suggests a method for investors to determine how to allocate their assets. Kelly theoretically calculated the optimal betting ratio and presented it to investors. As a result, this strategy, known as Kelly Bet, gained popularity among many investors.

  2. Kelly Bet and Investment Kelly Bet can be applied to various investment fields such as stocks, sports betting, and casino games. To understand this strategy, you need to be familiar with a few concepts:

  • Return Rate: The ratio that represents the profit or loss gained from an investment.

  • Probability: The numerical representation of the likelihood of an event occurring.

  • Expected Return: The average rate of return expected from a particular investment.

Kelly Bet calculates the optimal betting ratio by considering the expected return, the investor's asset size, and the probability of the investment target. This enables investors to effectively manage their assets and maximize potential returns.

3. Example of Kelly Bet Let's consider a situation where you need to decide whether to invest in a company's stock in the stock market. Suppose the probability of the company's stock rising is 60% and the probability of it falling is 40%. Furthermore, assume that if the stock rises, you can gain a return rate of 80%, while if it falls, you will incur a loss of 50%.


According to Kelly's Law, the optimal betting ratio can be calculated as follows: (Return rate × Probability - Loss rate × (1 - Probability)) / Return rate = (0.8 × 0.6 - 0.5 × 0.4) / 0.8 = 0.35

Therefore, according to Kelly Bet, it is optimal to invest 35% of your assets in this company's stock.

4. Advantages and Disadvantages of Kelly's Law Kelly's Law is an efficient and mathematical strategy, but it also has some considerations.

Advantages:

  • It maximizes potential returns.

  • It enables effective asset management, increasing financial stability.

Disadvantages:

  • It is difficult to accurately predict the probability of investment targets.

  • Kelly Bet can only be applied to individual investments and has limitations in portfolio management.

However, to overcome the drawbacks of Kelly Bet, algorithmic trading has emerged. Algorithmic trading is a method of making investment decisions automatically using computer programs. It offers the following advantages:

  • Objective decision-making: Algorithmic trading eliminates emotional involvement and makes investment decisions automatically based on predetermined rules and strategies. This prevents errors caused by investors' psychological factors and enables more objective decision-making.

  • Swift execution: Algorithmic trading analyzes market data in real-time and makes investment decisions swiftly. It provides the advantage of executing trades quickly and adapting to market fluctuations promptly.

  • Backtesting and optimization: Algorithmic trading utilizes historical data for backtesting and optimizing strategies. This allows for assessing the performance and risks of specific strategies in advance, enhancing the stability of the strategies.

  • Application of various strategies: Algorithmic trading can apply various mathematical models and strategies. In other words, besides Kelly Bet, you can construct and manage portfolios using a variety of strategies.

Algorithmic trading serves as a tool to overcome the limitations of Kelly Bet and helps pursue efficient investment. However, it is not a complete solution. It requires effective algorithm development, monitoring, and adaptability to market changes, among other factors.

In conclusion, Kelly's Law is one of the effective investment strategies that help investors efficiently manage their assets. However, as investment always entails risks, it is important to apply Kelly's Law with careful judgment and sufficient research. I hope this blog post has provided a friendly understanding of Kelly's Law and will assist you in building efficient investment strategies. Wishing you success in your investments and a joyful investment journey ahead!


Lodestone Invest

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