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Current Picture Hi, I'm Peter Rose, Founder of Longwood Currency Trading, and welcome to LCT Blog Post 08/19/21 — Most Important FOREX Analysis Math Equation.

Mathematical analysis of conditions within the FOREX market are quite complex and can require the solution of differential equations and statistical models. But if you understand just one, very simple arithmetic division relationship, you should be fine.

The equation is just the currency pair expression itself, ex. GBP/USD.

Currency pairs compare the value of one currency to another. So, the writing of the currency pair as GBP/USD is actually a ratio between the base currency (GBP), and the quote currency (USD).

The quote currency means that the expression results in the ratio being stated in that currency's denomination. Thus, if the current price of, for example, GBP/USD is 1.3500, then 1.3500 is the value of GBP/USD in USD.

Of note is that to this post, I have a companion video of the same title: Most Important FOREX Analysis Math Equation that puts all of this together from a different view point.

If you've come from watching that video, then press on here. However, if this is your starting point, I might suggest that you read through this before watching the video. Or, if you want, you can skip to the bottom of this post to watch that video now.
Understanding The Currency Pair Equation
Let's take a little more critical look at the mechanics of that equation.
GBP
--- = 1.3500
USD

The above shows that 1 GBP will buy $1.35 of USD.

 1
--- = $1.3500
USD

It means that if a U.S. citizen buys a product that costs 1 Pound GBP that it will cost that U.S. citizen $1.35, or $.35 more.

What about if the U.K. citizen wants to buy $1 USD of product? What will that effectively cost them?

 1
--- = $1.3500
USD
 
1 = 1.35 * USD
 
  1
----- = USD
1.35
 
USD = .7407

That means a U.K. citizen with .7407 Pence GBP has the purchasing power of $1 Dollar USD.

This means we have the following situation:

  1
----- = 1.3500
.7407

Hummm.... What if the GBP currency gets stronger to, say 1.0010, 10 pips?

1.0010
----- = 1.3514
.7407

Yikes! Now the U.S. citizen will have to pay $.0014 more for the same U.K. product that's listed for 1 Pound GBP. That means that if GBP strengthens over the USD it will cost more for a person in the U.S. to buy that U.K. product.

What happens if GBP weakens against the dollar by 10 pips?

.9990
----- = 1.3487
.7407

Ooops! That caused the ratio to go down by about $.13. That means when the GBP lost value, the USD gained value against it because it takes less USD to buy that same same U.K. product.

So, if GBP increases in value, USD decreases in value, and if GBP decreases in value, USD increases in value.

And that is a profound description of currency valuation. If you don't understand this dynamic relationship between the 2 pair countries, you-are-screwed in any sort of currency market analysis.

Static, Rising, And Falling Pair Analysis
The following table shows what happens under various conditions of static, rising, and falling price against each of the pair country's currency.

To keep the math simple, I'll assume a static value of each currency to be 10, an increase in price to 20, and a decrease in price to 2.


Currency Pair Price Variation Analysis
Static Price...
GBP
---
USD
   10
---=1
10
 
  
 
10
---=1
10
   Static 
 
 
 
Rising Price...
GBP
---
USD
   10
---=1
10
 
  
 
20
---=2
10
   UP 
 
 
GBP
---
USD
   10
---=1
10
 
  
 
10
---=5
2
   UP 
 
 
GBP
---
USD
   10
---=1
10
 
  
 
20
---=10
2
   UP↑↑ 
 
 
 
Falling Price...
GBP
---
USD
   10
---=1
10
 
  
 
2
---=.2
10
   DOWN 
 
 
GBP
---
USD
   10
---=1
10
 
  
 
10
---=.5
20
   DOWN 
 
 
GBP
---
USD
   10
---=.1
10
 
  
 
2
---=.1
20
   DOWN↓↓ 
 
So What?
Well, yeah, it's just simple division, and even the dimmest of folks understand that what happens when you divide a smaller number into a bigger number is that the value goes up....

And that's the problem in looking at currency pair pricing: it's so obvious. Too obvious....

It's so obvious that it's totally overlooked as one of the key components of the FOREX market. The interaction of the pairs in this relationship reveals the entire underpinnings of the economics of market supply/demand, central bank interest rate policy, large institutional order flow, etc.

If you fully understand the price differential correlation between the pair, then you need very little actual fundamental understanding to do your trade entry analysis.

That's how important this relationship is to understand.

Companion Video
Here's that companion video of the same title: Most Important FOREX Analysis Math Equation I mentioned at the start of this post that puts all of this together from a different view point.


Video: Most Important FOREX Analysis Math Equation


Thanks for taking your time to read this post,
Peter

p.s. For more of my thoughts on trading in the FOREX foreign currency market, check out my YouTube channel for Longwood Currency Trading


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CFTC RULE 4.41 - HYPOTHETICAL OR SIMULATED PERFORMANCE RESULTS HAVE CERTAIN LIMITATIONS. UNLIKE AN ACTUAL PERFORMANCE RECORD, SIMULATED RESULTS DO NOT REPRESENT ACTUAL TRADING. ALSO, SINCE THE TRADES HAVE NOT BEEN EXECUTED, THE RESULTS MAY HAVE UNDER-OR-OVER COMPENSATED FOR THE IMPACT, IF ANY, OF CERTAIN MARKET FACTORS, SUCH AS LACK OF LIQUIDITY. SIMULATED TRADING PROGRAMS IN GENERAL ARE ALSO SUBJECT TO THE FACT THAT THEY ARE DESIGNED WITH THE BENEFIT OF HINDSIGHT. NO REPRESENTATION IS BEING MADE THAT ANY ACCOUNT WILL OR IS LIKELY TO ACHIEVE PROFIT OR LOSSES SIMILAR TO THOSE SHOWN.