From 275d8534323129124a1a5ed369fe7a38576e7251 Mon Sep 17 00:00:00 2001
From: silvavn <37382997+silvavn@users.noreply.github.com>
Date: Thu, 3 Sep 2020 13:38:46 -0600
Subject: [PATCH] Updated W, L Formulas
---
docs/edge.md | 10 +++++-----
1 file changed, 5 insertions(+), 5 deletions(-)
diff --git a/docs/edge.md b/docs/edge.md
index 593137c8d..e147cc15e 100644
--- a/docs/edge.md
+++ b/docs/edge.md
@@ -26,7 +26,7 @@ We raise the following question[^1]:
a) A trade with 80% of chance of losing $100 and 20% chance of winning $200
b) A trade with 100% of chance of losing $30
-??? Info "Answer"
+???+ Info "Answer"
The expected value of *a)* is smaller than the expected value of *b)*.
Hence, *b*) represents a smaller loss in the long run.
However, the answer is: *it depends*
@@ -63,14 +63,14 @@ $$ T_{lose} = \{o \in O | o \leq 0\} $$
The win rate $W$ is the proportion of winning trades with respect to all the trades made by a strategy. We use the following function to compute the win rate:
-$$W = \frac{\sum^{o \in T_{win}} o}{N}$$
+$$W = \frac{|T_{win}|}{N}$$
Where $W$ is the win rate, $N$ is the number of trades and, $T_{win}$ is the set of all trades where the strategy made money.
Similarly, we can compute the rate of losing trades:
$$
- L = \frac{\sum^{o \in T_{lose}} o}{N}
+ L = \frac{|T_{lose}|}{N}
$$
Where $L$ is the lose rate, $N$ is the amount of trades made and, $T_{lose}$ is the set of all trades where the strategy lost money. Note that the above formula is the same as calculating $L = 1 – W$ or $W = 1 – L$
@@ -81,7 +81,7 @@ Risk Reward Ratio ($R$) is a formula used to measure the expected gains of a giv
$$ R = \frac{\text{potential_profit}}{\text{potential_loss}} $$
-??? Example "Worked example of $R$ calculation"
+???+ Example "Worked example of $R$ calculation"
Let's say that you think that the price of *stonecoin* today is $10.0. You believe that, because they will start mining stonecoin, it will go up to $15.0 tomorrow. There is the risk that the stone is too hard, and the GPUs can't mine it, so the price might go to $0 tomorrow. You are planning to invest $100.
Your potential profit is calculated as:
$\begin{aligned}
@@ -110,7 +110,7 @@ Finally, we can calculate the Risk Reward ratio, $R$, as follows:
$$ R = \frac{\text{average_profit}}{\text{average_loss}} = \frac{\mu_{win}}{\mu_{lose}}\\ $$
-??? Example "Worked example of $R$ calculation using mean profit/loss"
+???+ Example "Worked example of $R$ calculation using mean profit/loss"
Let's say the strategy that we are using makes an average win $\mu_{win} = 2.06$ and an average loss $\mu_{loss} = 4.11$.
We calculate the risk reward ratio as follows:
$R = \frac{\mu_{win}}{\mu_{loss}} = \frac{2.06}{4.11} = 0.5012...$