MHB Math for trading/investing conversion?

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The discussion focuses on calculating the equivalent value of partial investments in a REIT or fund based on price changes. The example provided starts with an investment of $20 in an item priced at $7,000, illustrating how to determine the value of that investment as the price fluctuates. When the price rises to $7,500, the investment value increases to approximately $21.43, and if it drops to $7,250, the value adjusts to about $20.71. The calculations demonstrate the proportional relationship between the investment amount and the asset price changes. Understanding this method allows for better decision-making in trading and investing.
oweaponx
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Greetings, all. I’m not exactly sure how to word this, so hopefully this makes sense. I’m trying to figure out how to set this up, maybe a ration?

Let’s say I’m looking at a REIT, or maybe a fund. However, instead of buying the full amount of the item, I’m looking at a part.

To start, let’s say, to try and keep the numbers easy, that the item starts at \$7,000. Later, it rises to \$7,500. Still later, it drops to \$7,250.

Now, let’s say I’m using \$20, as my start. How do I know what my equivalent will be, at \$7,500. Then, as it drops, what will my equivalent be, when I want to sell. I’m also looking to do similar, with a start of \$50, and \$100, as examples.

I hope this has made sense, and I appreciate help!
 
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I am not sure what you mean by "20 dollars, as my start". Do you mean investing just 20 instead of the full 7000? If so your share is \frac{20}{7000}= \frac{2}{700}. So when it goes up to 7500 your share is \frac{2}{700}(7500) or 21.43. If it then goes down to 7250 your share is \frac{2}{700}(7250) or 20.71.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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