Boyle Trinomial Options Pricing Model [Loxx]Boyle Trinomial Options Pricing Model is an options pricing indicator that builds an N-order trinomial tree to price American and European options. This is different form the Binomial model in that the Binomial assumes prices can only go up and down wheres the Trinomial model assumes prices can go up, down, or sideways (shoutout to the "crab" market enjoyers). This method also allows for dividend adjustment.
The Trinomial Tree via VinegarHill Finance Labs
A two-jump process for the asset price over each discrete time step was developed in the binomial lattice. Boyle expanded this frame of reference and explored the feasibility of option valuation by allowing for an extra jump in the stochastic process. In keeping with Black Scholes, Boyle examined an asset (S) with a lognormal distribution of returns. Over a small time interval, this distribution can be approximated by a three-point jump process in such a way that the expected return on the asset is the riskless rate, and the variance of the discrete distribution is equal to the variance of the corresponding lognormal distribution. The three point jump process was introduced by Phelim Boyle (1986) as a trinomial tree to price options and the effect has been momentous in the finance literature. Perhaps shamrock mythology or the well-known ballad associated with Brendan Behan inspired the Boyle insight to include a third jump in lattice valuation. His trinomial paper has spawned a huge amount of ground breaking research. In the trinomial model, the asset price S is assumed to jump uS or mS or dS after one time period (dt = T/n), where u > m > d. Joshi (2008) point out that the trinomial model is characterized by the following five parameters: (1) the probability of an up move pu, (2) the probability of an down move pd, (3) the multiplier on the stock price for an up move u, (4) the multiplier on the stock price for a middle move m, (5) the multiplier on the stock price for a down move d. A recombining tree is computationally more efficient so we require:
ud = m*m
M = exp (r∆t),
V = exp (σ 2∆t),
dt or ∆t = T/N
where where N is the total number of steps of a trinomial tree. For a tree to be risk-neutral, the mean and variance across each time steps must be asymptotically correct. Boyle (1986) chose the parameters to be:
m = 1, u = exp(λσ√ ∆t), d = 1/u
pu =( md − M(m + d) + (M^2)*V )/ (u − d)(u − m) ,
pd =( um − M(u + m) + (M^2)*V )/ (u − d)(m − d)
Boyle suggested that the choice of value for λ should exceed 1 and the best results were obtained when λ is approximately 1.20. One approach to constructing trinomial trees is to develop two steps of a binomial in combination as a single step of a trinomial tree. This can be engineered with many binomials CRR(1979), JR(1979) and Tian (1993) where the volatility is constant.
Further reading:
A Lattice Framework for Option Pricing with Two State
Trinomial tree via wikipedia
Inputs
Spot price: select from 33 different types of price inputs
Calculation Steps: how many iterations to be used in the Trinomial model. In practice, this number would be anywhere from 5000 to 15000, for our purposes here, this is limited to 220.
Strike Price: the strike price of the option you're wishing to model
Market Price: this is the market price of the option; choose, last, bid, or ask to see different results
Historical Volatility Period: the input period for historical volatility ; historical volatility isn't used in the Trinomial model, this is to serve as a comparison, even though historical volatility is from price movement of the underlying asset where as implied volatility is the volatility of the option
Historical Volatility Type: choose from various types of implied volatility , search my indicators for details on each of these
Option Base Currency: this is to calculate the risk-free rate, this is used if you wish to automatically calculate the risk-free rate instead of using the manual input. this uses the 10 year bold yield of the corresponding country
% Manual Risk-free Rate: here you can manually enter the risk-free rate
Use manual input for Risk-free Rate? : choose manual or automatic for risk-free rate
% Manual Yearly Dividend Yield: here you can manually enter the yearly dividend yield
Adjust for Dividends?: choose if you even want to use use dividends
Automatically Calculate Yearly Dividend Yield? choose if you want to use automatic vs manual dividend yield calculation
Time Now Type: choose how you want to calculate time right now, see the tool tip
Days in Year: choose how many days in the year, 365 for all days, 252 for trading days, etc
Hours Per Day: how many hours per day? 24, 8 working hours, or 6.5 trading hours
Expiry date settings: here you can specify the exact time the option expires
Included
Option pricing panel
Loxx's Expanded Source Types
Related indicators
Implied Volatility Estimator using Black Scholes
Cox-Ross-Rubinstein Binomial Tree Options Pricing Model
Search in scripts for "Implied volatility"
Multiple Rate Of ChangeConvergence of Multiple period Rates of Change near the Zero line shows contraction in volatility.
Soon we can expect expansion in volatility.
Ideal strategy would be to buy ATM Straddles when different period ROCs converge near Zero line.
(Also check implied volatility of options before going for this strategy)
IV Rank (tasty-style) — VIXFix / HV ProxyIV Rank (tasty-style) — VIXFix / HV Proxy
Overview
This indicator replicates tastytrade’s IV Rank calculation—but built entirely inside TradingView.
Because TradingView does not expose live option-chain implied volatility, the script lets you choose between two widely used price-based IV proxies:
VIXFix (Williams VIX Fix): a fast-reacting volatility estimate derived from price extremes.
HV(30): 30-day annualized historical volatility of daily log returns.
The goal is to approximate the “rich vs. cheap” option volatility environment that traders use to decide whether to sell or buy premium.
Formula
IV Rank answers the question: Where is current implied volatility relative to its own 1-year range?
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IVR=
IV
1yHigh
−IV
1yLow
IV
current
−IV
1yLow
×100
IVcurrent: Current value of the chosen IV proxy.
IV1yHigh/Low: Highest and lowest proxy values over the user-defined lookback (default 252 trading days ≈ 1 year).
IVR = 0 → Current IV equals its 1-year low
IVR = 100 → Current IV equals its 1-year high
IVR ≈ 50 → Current IV sits mid-range
How to Use
High IV Rank (≥50–60%)
Options are relatively expensive → short-premium strategies (credit spreads, iron condors, straddles) may be more attractive.
Low IV Rank (≤20%)
Options are relatively cheap → long-premium strategies (debit spreads, calendars, diagonals) may offer better risk/reward.
Combine with your own analysis, liquidity checks, and risk management.
Inputs & Customization
IV Source: Choose “VIXFix” or “HV(30)” as the volatility proxy.
IVR Lookback: Rolling window for 1-year high/low (default 252 trading days).
VIXFix Parameters: Length and stdev multiplier to fine-tune sensitivity.
Info Label: Optional on-chart label displays current IV proxy, 1-year high/low, and IV Rank.
Alerts: Optional alerts when IVR crosses 50, falls below 20, or rises above 80.
Notes & Limitations
This indicator does not pull real option-chain IV.
It provides a close structural analogue to tastytrade’s IV Rank using price-derived proxies for markets where options data is not directly available.
For live option IV, use broker platforms or third-party data feeds alongside this script.
Tags: IV Rank, Implied Volatility, Tastytrade, VIXFix, Historical Volatility, Options, Premium Selling, Debit Spreads, Market Volatility
True Range/Expected MoveThis indicator plots the ratio of True Range/Expected Move of SPX. True Range is simple the high-low range of any period. Expected move is the amount that SPX is predicted to increase or decrease from its current price based on the current level of implied volatility. There are several choices of volatility indexes to choose from. The shift in color from red to green is set by default to 1 but can be adjusted in the settings.
Red bars indicate the true range was below the expected move and green bars indicate it was above. Because markets tend to overprice volatility it is expected that there would be more red bars than green. If you sell SPX or SPY option premium red days tend to be successful while green days tend to get stopped out. On a 1D chart it is interesting to look at the clusters of bar colors.
IV/HV ratio 1.0 [dime]This script compares the implied volatility to the historic volatility as a ratio.
The plot indicates how high the current implied volatility for the next 30 days is relative to the actual volatility realized over the set period. This is most useful for options traders as it may show when the premiums paid on options are over valued relative to the historic risk.
The default is set to one year (252 bars) however any number of bars can be set for the lookback period for HV.
The default is set to VIX for the IV on SPX or SPY but other CBOE implied volatility indexes may be used. For /CL you have OVX/HV and for /GC you have GVX/HV.
Note that the CBOE data for these indexes may be delayed and updated EOD
and may not be suitable for intraday information. (Future versions of this script may be developed to provide a realtime intraday study. )
There is a list of many volatility indexes from CBOE listed at:
www.cboe.com
(Some may not yet be available on Tradingview)
RVX Russell 2000
VXN NASDAQ
VXO S&P 100
VXD DJIA
GVX Gold
OVX OIL
VIX3M 3-Month
VIX6M S&P 500 6-Month
VIX1Y 1-Year
VXEFA Cboe EFA ETF
VXEEM Cboe Emerging Markets ETF
VXFXI Cboe China ETF
VXEWZ Cboe Brazil ETF
VXSLV Cboe Silver ETF
VXGDX Cboe Gold Miners ETF
VXXLE Cboe Energy Sector ETF
EUVIX FX Euro
JYVIX FX Yen
BPVIX FX British Pound
EVZ Cboe EuroCurrency ETF Volatility Index
Amazon VXAZN
Apple VXAPL
Goldman Sachs VXGS
Google VXGOG
IBM VXIBM
Weekly Covered Calls Strategy with IV & Delta LogicWhat Does the Indicator Do?
this is interactive you must use it with your options chain to input data based on the contract you want to trade.
Visualize three strike price levels for covered calls based on:
Aggressive (closest to price, riskier).
Moderate (mid-range, balanced).
Low Delta (farthest, safer).
Incorporate Implied Volatility (IV) from the options chain to make strike predictions more realistic and aligned with market sentiment. Adjust the risk tolerance by modifying Delta inputs and IV values. Risk is defined for example .30 delta means 30% chance of your shares being assigned. If you want to generate steady income with your shares you might want to lower the risk of them being assigned to .05 or 5% etc.
How to Use the Indicator with the Options Chain
Start with the Options Chain:
Look for the following data points from your options chain:
Implied Volatility (IV Mid): Average IV for a particular strike price.
Delta:
~0.30 Delta: Closest strike (Aggressive).
~0.15–0.20 Delta: Mid-range strike (Moderate).
~0.05–0.10 Delta: Far OTM, safer (Low Delta).
Strike Price: Identify strike prices for the desired Deltas.
Open Interest: Check liquidity; higher OI ensures tighter spreads.
Input IV into the Indicator:
Enter the IV Mid value (e.g., 0.70 for 70%) from the options chain into the Implied Volatility field of the indicator.
Adjust Delta Inputs Based on Risk Tolerance:
Aggressive Delta: Increase if you want strikes closer to the current price (riskier, higher premium).
Default: 0.2 (20% chance of shares being assigned).
Moderate Delta: Balanced risk/reward.
Default: 0.12 (12%)
Low Delta: Decrease for safer, farther OTM strikes.
Default: 0.05 (5%)
Visualize the Chart:
Once inputs are updated:
Red Line: Aggressive Strike (closest, riskiest, higher premium).
Blue Line: Moderate Strike (mid-range).
Green Line: Low Delta Strike (farthest, safer).
Step-by-Step Workflow Example
Open the options chain and note:
Implied Volatility (IV Mid): Example 71.5% → input as 0.715.
Delta for desired strikes:
Aggressive: 0.30 Delta → Closest strike ~ $455.
Moderate: 0.15 Delta → Mid-range strike ~ $470.
Low Delta: 0.05 Delta → Farther strike ~ $505.
Open the indicator and adjust:
IV Mid: Enter 0.715.
Aggressive Delta: Leave at 0.12 (or adjust to bring strikes closer).
Moderate Delta: Leave at 0.18.
Low Delta: Adjust to 0.25 for safer, farther strikes.
View the chart:
Compare the indicator's strikes (red, blue, green) with actual options chain strikes.
Use the visualization to: Validate the risk/reward for each strike.
Align strikes with technical trends, support/resistance.
Adjusting Inputs Based on Risk Tolerance
Higher Risk: Increase Aggressive Delta (e.g., 0.15) for closer strikes.
Use higher IV values for volatile stocks.
Moderate Risk: Use default values (0.12–0.18 Delta).
Balance premiums and probability.
Lower Risk: Increase Low Delta (e.g., 0.30) for farther, safer strikes.
Focus on higher IV stocks with good open interest.
Key Benefits
Simplifies Strike Selection: Visualizes the three risk levels directly on the chart.
Aligns with Market Sentiment: Incorporates IV for realistic forecasts.
Customizable for Risk: Adjust inputs to match personal risk tolerance.
By combining the options chain (IV, Delta, and liquidity) with the technical chart, you get a powerful, visually intuitive tool for covered call strategies.
IV PercentileIV Percentile Indicator - Brief Description
What It Does
The IV Percentile Indicator measures where current implied volatility ranks compared to the past year, showing what percentage of time volatility was lower than today's level.
How It Works
Data Collection:
Tracks implied volatility (or historical volatility as proxy) for each trading day
Stores the last 252 days (1 year) of volatility readings
Uses VIX data for SPY/SPX, historical volatility for other stocks
Calculation:
IV Percentile = (Days with IV below current level) ÷ (Total days) × 100
Example: If IV Percentile = 75%, it means current volatility is higher than 75% of the past year's readings.
Visual Output
Main Display:
Blue line showing percentile (0-100%)
Reference lines at key levels (20%, 30%, 50%, 70%, 80%)
Color-coded backgrounds for quick identification
Info table with current readings
Key Levels:
80%+ (Red): Very high IV → Sell premium
70-79% (Orange): High IV → Consider selling
30-20% (Green): Low IV → Consider buying
<20% (Bright Green): Very low IV → Buy premium
Trading Application
When IV Percentile is HIGH (70%+):
Options are expensive relative to recent history
Good time to sell premium (iron condors, credit spreads)
Expect volatility to decrease toward normal levels
When IV Percentile is LOW (30%-):
Options are cheap relative to recent history
Good time to buy premium (straddles, long options)
Expect volatility to increase from compressed levels
Core Logic
The indicator helps answer: "Is this a good time to buy or sell options based on how expensive/cheap they are compared to recent history?" It removes the guesswork from volatility timing by providing historical context for current option prices.
VIX HeatmapVIX HeatMap
Instructions:
- To be used with the S&P500 index (ES, SPX, SPY, any S&P ETF) as that's the input from where the CBOE calculates and measures the VIX. Can also be used with the Dow Jones, Nasdaq, & Nasdaq100.
Description:
- Expected Implied Volatility regime simplified & visualized. Know if we are in a high, medium, or low volatility regime, instantly.
- Ranges from Hot to Cold: The hotter the heat-map, the higher the implied volatility and fear & vice versa.
- The VIX HeatMap, color-maps important VIX levels (7 in this case) in measuring volatility for day trading & swing trading.
Using the VIX HeatMap:
- A LOW level volatility environment: Represented by "cooler" colors (Blue & White) depicts that the level of volatility and fear is low. Percentage moves on the index level are going to be tame and less volatile more often than not. Low fear = low perceived risk.
- A MEDIUM level volatility environment: Represented by "warmer" colors (Green & Yellow) depicts that the markets are transitioning from a calmer period or from a more fearful period. Market volatility here will be higher and provide more volatile swings in price.
- A HIGH level volatility environment: Represented by "hotter" colors (Orange, Red, & Purple) depicts that the markets are very fearful at the moment and will have big swings in both directions. Historically, extreme VIX levels tend to coincide with bottoms but are in no way predictive of the exact timing as the volatile moves can continue for an extended period of time.
- Transitioning between the 7 VIX Zones: Each and every one of these specific VIX zone levels is important.
1. Extreme low: <16
2. Low: 16 to 20
3. Normal: 20 to 24
4. Medium: 24 to 28
5. Med-High: 28 to 32
6. High: 32 to 36
7. Extreme high: >36
- These VIX levels in particular measure volatility changes that have a major impact on switching between smaller time frames and measuring depths of a sell move and vice versa. Each level also behaves as its own support & resistance level in terms of taking a bit of effort to switch regimes, and aids in identifying and measuring the potential depth of pullbacks in bull markets and bounces in bear markets to reveal reversal points.
- Examples of VIX level supports depicted on the chart marked with arrows. From left to right:
1. March 10th: Markets jumped 2 volatility levels in 2 days. The fluctuations from blue to yellow to green where a sign that price action would reverse from the selloff.
2. March 28th: As soon as we move from green to the blue VIX level (<20), markets began to rally and only ended when the volatility level moved sub VIX 16 (white).
3. May 4th & 24th: Next we see the 2 dips where volatility levels went from blue to green (VIX > 20), marked bottoms and reversed higher.
4. June 1st: We see a change in VIX regime yet again into lower VIX level and markets rocket higher.
Knowing the current VIX regime is a very important tool and aid in trading, now easily visualized.
VIX Implied Move Bands for ES/Emini futuresThis script uses the close of the VIX on a daily resolution to provide the 'implied move' for the E-mini SP500 futures. While it can be applied to any equity index, it's crucial to know that the VIX is calculated using SPX options, and may not reflect the implied volatility of other indices. The user can adjust the length of the moving average used to calculate the bands, the window of days used to calculate the implied move, and the multiplier that effects the width of the bands.
Implied minus Historical VolatilityJust a simple comparison of 30 day historical volatility versus 30 day implied volatility(VIX). In general, when VIX is way above realized or historical Vol, in general that is quite bullish. Backtest will be available soon.
IV/HV Ratio's [Nic]IV is implied volatility
HV is historic realized volatility
Seneca teaches that we often suffer more in our minds than in reality, and the same is true with the stock market. This indicator can help identify when people are over paying for implied volatility relative to real volatility . This means that short sellers are over paying for puts and can be squeezed into covering their positions, resulting in a massive rally.
The indicator can track this spread over many time frames, when the short time frame is much higher than the lower time frames, consider it a signal-of-interest.
VIX Implied MovesKey Features:
Three Timeframe Bands:
Daily: Blue bands showing ±1σ expected move
Weekly: Green bands showing ±1σ expected move
30-Day: Red bands showing ±1σ expected move
Calculation Methodology:
Uses VIX's annualized volatility converted to specific timeframes using square root of time rule
Trading day convention (252 days/year)
Band width = Price × (VIX/100) ÷ √(number of periods)
Visual Features:
Colored semi-transparent backgrounds between bands
Progressive line thickness (thinner for shorter timeframes)
Real-time updates as VIX and ES prices change
Example Calculation (VIX=20, ES=5000):
Daily move = 5000 × (20/100)/√252 ≈ ±63 points
Weekly move = 5000 × (20/100)/√50 ≈ ±141 points
Monthly move = 5000 × (20/100)/√21 ≈ ±218 points
This indicator helps visualize expected price ranges based on current volatility conditions, with wider bands indicating higher market uncertainty. The probabilistic ranges represent 68% confidence levels (1 standard deviation) derived from options pricing.
Tomas' Financial Conditions Z Score"The indicator is a composite z-score comprised of the following four components (equally-weighted):
Credit spreads - ICE BofA High Yield Option Adjusted Spread (BAMLH0A0HYM2) and ICE BofA Corporate Index Option Adjusted Spread (BAMLC0A0CM)
Volatility indexes - VIX (S&P 500 implied volatility) and MOVE (US Treasury bond implied volatility)
I've got it set to a 160-day lookback period, which I think is roughly the best setting after some tinkering.
When the z-score is above zero, it throws a red signal - and when the z-score is below zero, it throws a green signal.
This indicator is a follow-on from the "traffic light financial conditions indicator" that I wrote a thread about a couple of months ago.
I moved on from that previous indicator because it is based on the Federal Reserve's NFCI, which is regularly revised, but I didn't take that into account at the time.
So not a great real-time indicator, if the signal can be subsequently revised in the opposite direction weeks later.
This new indicator is based on real-time market data, so there's no revisions, and it also updates daily, as opposed to weekly for the NFCI"
IV Rank/Percentile with Williams VIX FixDisplay IV Rank / IV Percentile
This indicator is based on William's VixFix, which replicates the VIX—a measure of the implied volatility of the S&P 500 Index (SPX). The key advantage of the VixFix is that it can be applied to any security, not just the SPX.
IV Rank is calculated by identifying the highest and lowest implied volatility (IV) values over a selected number of past periods. It then determines where the current IV lies as a percentage between these two extremes. For example, if over the past five periods the highest IV was 30%, the lowest was 10%, and the current IV is 20%, the IV Rank would be 50%, since 20% is halfway between 10% and 30%.
IV Percentile, on the other hand, considers all past IV values—not just the highest and lowest—and calculates the percentage of these values that are below the current IV. For instance, if the past five IV values were 30%, 10%, 11%, 15%, and 17%, and the current IV is 20%, the IV Rank remains at 50%. However, the IV Percentile is 80% because 4 out of the 5 past values (80%) are below the current IV of 20%.
Calm before the StormCalm before the Storm - Bollinger Bands Volatility Indicator
What It Does
This indicator identifies and highlights periods of extremely low market volatility by analyzing Bollinger Bands distance. It uses percentile-based analysis to find the "quietest" market periods and highlights them with a gradient background, operating on the premise that low volatility periods often precede significant price movements.
How It Works
Volatility Measurement: Calculates the distance between Bollinger Bands upper and lower boundaries
Percentile Analysis: Analyzes the lowest X% of volatility periods over a configurable lookback period (default: lowest 40% over 200 bars)
Visual Highlighting: Uses gradient opacity to show volatility levels - the lower the volatility, the more opaque the background highlighting
Adaptive Threshold: Automatically calculates what constitutes "low volatility" based on recent market conditions
Who Should Use It
Primary Users:
Breakout Traders: Looking for consolidation periods that may precede significant moves
Options Traders: Seeking low implied volatility periods before volatility expansion
Swing Traders: Identifying accumulation/distribution phases before trend continuation or reversal
Range Traders: Spotting tight trading ranges for mean reversion strategies
Trading Styles:
Volatility-based strategies
Breakout and momentum trading
Options strategies (volatility plays)
Market timing approaches
When to Use It
Market Conditions:
Consolidation Phases: When price is moving sideways with decreasing volatility
Pre-Announcement Periods: Before earnings, economic data, or major events
Market Transitions: During shifts between trending and ranging markets
Low Volume Periods: When institutional participation is reduced
Strategic Applications:
Entry Timing: Wait for volatility compression before positioning for breakouts
Risk Management: Reduce position sizes during highlighted periods (anticipating volatility expansion)
Options Strategy: Sell premium during low volatility, buy during expansion
Multi-Timeframe Analysis: Combine with higher timeframe trends for confluence
Key Benefits
Objective Volatility Measurement: Removes subjectivity from identifying "quiet" markets
Adaptive Analysis: Automatically adjusts to current market conditions
Visual Clarity: Easy-to-interpret gradient highlighting
Customizable Sensitivity: Adjustable percentile thresholds for different trading styles
Best Used In Combination With:
Trend analysis tools
Support/resistance levels
Volume indicators
Momentum oscillators
This indicator is particularly valuable for traders who understand that periods of low volatility are often followed by periods of high volatility, allowing them to position ahead of potential significant price movements.
VIX9D to VIX RatioVIX9D to VIX Ratio
The ratio > 1 can signal near-term fear > long-term fear (potential short-term stress).
The ratio < 1 implies long-term implied volatility is higher — more typical in calm markets.
India VIXThe VIX chart represents the Volatility Index, commonly referred to as the "Fear Gauge" of the stock market. It measures the market's expectations of future volatility over the next 30 days, based on the implied volatility of NSE index options. The VIX is often used as an indicator of investor sentiment, reflecting the level of fear or uncertainty in the market.
Here’s a breakdown of what you might observe on a typical VIX chart:
VIX Value: The y-axis typically represents the VIX index value, with higher values indicating higher levels of expected market volatility (more fear or uncertainty), and lower values signaling calm or stable market conditions.
VIX Spikes: Large spikes in the VIX often correspond to market downturns or periods of heightened uncertainty, such as during financial crises or major geopolitical events. A high VIX is often associated with a drop in the stock market.
VIX Drops: A decline in the VIX indicates a reduction in expected market volatility, usually linked with periods of market calm or rising stock prices.
Trend Analysis: Technical traders might use moving averages or other indicators on the VIX chart to assess the potential for future market movements.
Inverse Relationship with the Stock Market: Typically, there is an inverse correlation between the VIX and the stock market. When stocks fall sharply, volatility increases, and the VIX tends to rise. Conversely, when the stock market rallies or remains stable, the VIX tends to fall.
A typical interpretation would be that when the VIX is low, the market is relatively stable, and when the VIX is high, the market is perceived to be uncertain or volatile.
CSP Key Level Finder This script is designed for option sellers, particularly those using strategies like cash-secured puts (CSPs), to help automate the process of identifying key levels in the market. The core functionality is to calculate a specific price level where a 5% return can be achieved based on the historical volatility of the underlying asset. This level is visually plotted on a chart to guide traders in making more informed decisions without manually calculating the thresholds themselves.
The script incorporates implied volatility (IV) data to determine the volatility rank of the asset and calculates historical volatility (HV) based on price movements. These volatility measures help assess market conditions. The resulting key level is drawn as a line on the chart, along with a label that includes relevant information about volatility, making it easier for traders to evaluate potential option selling strategies.
Additionally, the script includes user input options, allowing users to control when to display the key level on the chart, offering flexibility based on individual needs. Overall, the script provides a visual aid for option sellers to streamline the process of identifying attractive entry points.
Black Scholes Model [racer8]This is the Black Scholes Model. This indicator tells you the prices of both a call option & a put option.
Input variables are spot price, strike price, risk free rate %, days to maturity, and implied volatility %.
This indicator was made generally for educational purposes.
By using this indicator, you will develop a better understanding of how options are priced.
This indicator was made to be as simple as possible so that the user can easily understand it.
I recreated the Black Scholes Model because there is very little scripts on TV that are based on the Black Scholes Model.
I am aware that are Black Scholes Model (BSM) scripts already on TV, but mine is not the same. Correct me if I'm wrong, but I don't think there is a BSM script out there yet that relies on the exact same inputs that mine does.
Why use this indicator?
If you don't already have your own IV indicator...
You can use this indicator to approximate the value of implied volatility %.
You already know every input variable except IV%, and you know the call & put option prices.
So put in the numbers for each input and put a random number between 0 to 100 into the IV% input to get the options prices.
Adjust that random number for IV% until the output (options prices) matches correctly with what you already know they are to be.
This is called the trial and error method.
On the other hand, if you already know all input variables including IV%. Then you can use this indicator to find the call & put options prices directly.
Hope this helps. Enjoy 🙂
ATR Move Tracker v1.0# ATR Move Tracker v1.0 - Purpose & Use Guide
## What Is This Indicator?
ATR Move Tracker v1.0 is a trading tool that shows you whether a stock has moved "enough" for the day based on its historical patterns. It answers the question: **"Has this stock moved its typical daily amount yet?"**
## The Core Purpose
Think of each stock as having a "daily personality" - some stocks naturally move $1 per day, others move $5 per day. This indicator:
- **Shows the stock's Daily ATR** (its typical daily movement over 14 days)
- **Tracks Today's Range** (how much it's actually moved today)
- **Displays the gap** between typical and actual movement
- **Provides visual progress** toward completing its normal daily range
## Practical Trading Applications
### **Entry Timing**
- **Low Progress (0-30%)**: Stock hasn't moved much yet - potential opportunity if you expect movement
- **Medium Progress (30-70%)**: Stock is moving normally - good for trend following
- **High Progress (70-100%+**: Stock has moved a lot - be cautious of exhaustion
### **Exit Planning**
- When the progress bar turns **green (100%+)**, the stock has exceeded its typical daily movement
- Consider taking profits or tightening stops when Daily ATR is reached or exceeded
- Use remaining "Need" amount to set realistic profit targets
### **Risk Management**
- **Today's Range much smaller than Daily ATR**: Potential for more volatility
- **Today's Range exceeds Daily ATR**: Stock may be overextended for the day
- Adjust position sizes based on how much of the Daily ATR has been "used up"
## Real-World Example
**Stock XYZ at 2:00 PM shows:**
- Daily ATR: $4.00 (typically moves $4/day)
- Daily Move: $2.50 (62%)
- Need: $1.50
- Progress Bar: 62% filled (orange)
**Interpretation:** XYZ has moved $2.50 of its typical $4.00 daily range. There's potentially $1.50 more movement available based on historical patterns.
## Key Benefits
✅ **Context for Price Movement**: Know if today's action is normal or unusual
✅ **Better Position Sizing**: Trade smaller when Daily ATR is nearly reached
✅ **Realistic Profit Targets**: Base targets on remaining Daily ATR potential
✅ **Works on All Timeframes**: See daily context even on 1-minute charts
✅ **Fully Customizable**: Position, colors, and ATR period adjustable
## Who Should Use This
- **Day Traders**: Perfect for intraday volatility context
- **Swing Traders**: Helps time entries based on daily movement patterns
- **Options Traders**: Understand if implied volatility expectations are being met
- **Any Trader**: Who wants to trade with historical volatility context
This isn't a buy/sell signal - it's **volatility intelligence** that helps you make better trading decisions based on what's normal for each stock!
Volatility Strategy 01a quantitative volatility strategy (especially effective in trend direction on the 15min chart on the s&p-index)
the strategy is a rule-based setup, which dynamically adapts to the implied volatility structure (vx1!–vx2!)
context-dependent mean reversion strategy based on multiple timeframes in the vix index
a signal is provided under following conditions:
1. the vvix/vix spread has deviated significantly beyond one standard deviation
2. the vix is positioned above or below 3 moving averages on 3 minor timeframes
3. the trade direction is derived from the projected volatility regime, measured via vx1! and vx2! (cboe)
MOVE/VXTLT CorrelationMany know of the VIX for equity trading. Yet, many are unaware that there is the same kind of volatility measure for trading bonds, called the MOVE Index.
"The Merrill Lynch Option Volatility Estimate (MOVE) Index is a yield curve weighted index of the normalized implied volatility on 1-month Treasury options which are weighted on the 2, 5, 10, and 30 year contracts."
With this script one can see the the correlation and divergences between bonds and its volatility measure to make educated decisions in trading or hedging.
The idea of this script comes from NicTheMajestic.
σ-Based SL/TP (Long & Short). Statistical Volatility (Quant Upgrade of ATR)
Instead of ATR’s simple moving average, use standard deviation of returns (σ), realized volatility, or implied volatility (options data).
SL = kσ, TP = 2kσ (customizable).
Why better than ATR: more precise reflection of actual distribution tails, not just candle ranges.
