# Black Scholes Option Pricing Formula Explained

Continunig further from our part I of this article, Black–Scholes Model Explained with Example for Options Pricing, we discussed the following three points:

1. the probability that Microsoft stock will actually move higher than \$25
2. the probability that if it moves higher, how high will it go?
3. the time value of money for the one year timeframe (time to option expiry)

Let's see the second part here, for the third point of time value of money.

# Black–Scholes Model Explained with Example for Options Pricing

Black–Scholes Model which was developed by Fischer Black, Myron Scholes and Robert Merton in the early 1970’s is widely used in pricing Options. However, how many of the actual options traders really understand the Black–Scholes Model is a big question.
In this article, we'll cover layman's approach to understanding the logic and reasoning behind the Black–Scholes Options Model. We also cover the underlying assumptions for Black–Scholes Model and see how the same model can be extended to price different financial assets.

# Options Vertical Spread: What is Vertical Spread in Options Trading?

What is a Vertical Spread in Options Trading?
When an options trader takes multiple option positions where options are of different strike prices but of the same expiry date, then the net position created for such combination of options is termed as "Vertical Spread".

# Options Horizontal Spread: What is Horizontal Spread in Options Trading?

What is a Horizontal Spread in Options Trading?
When an Options trader takes multiple positions in various options so as to make a spread, but the options taken are such that they have different expiry dates, then the option spread formed is known as "Horizontal Spread".

# Natural Gas ETFs List: Trade Natural Gas through Exchange Traded Funds

List of Natural Gas ETF or Natural Gas Exchange Traded Funds available for trading on NASDAQ and other exchanges.
We've seen in our earlier articles that Natural Gas can be traded as a commodity through Natural Gas Futures Trading or by investing in Natural Gas specific stock. However, there are other ways to trade natural gas if neither commodity futures trading nor sotck trading suits you. There are natural gas specific funds and ETF's (Exchange Traded Funds) which offer you the benefit of diversification instead of taking the stock specific risks.

# Top 10 Natural Gas Stocks Shares Companies List

Details and List of top ten Natural Gas companies which are in business of Natural Gas
Continuing our series on Natural Gas trading from our preiouos article, Natural Gas Companies & Stocks for Trading & Investments, here is the list of top 10 nat gas companies in USA:

1. Exxon Mobil

Reproted to have an average Daily Natural Gas Production of around 4 billion cubic feet.

As of 2010, the Reserves were reported to be at 79 trillion cubic feet of natural gas (26.1 trillion in the U.S.).

# Natural Gas Company Stocks for Trading & Investments

Details and List of Natural Gas Companies which are in the business of Natural Gas Production, Marketing, Distribution and Use.

# Natural Gas Historical Prices: Natural Gas Futures Trading

Historical Prices of Natural Gas Chart

# Natural Gas Trading: How to Trade Natural Gas?

Details, training and tutorials about how to trade Natural Gas, driving factors behind natural gas price movements, risks involved in natural gas trading and some historical case studies for natural gas trading

# Futures on Commodity: Trading Example & Introduction

Details about Commodity Futures Trading with an example and calculations
In this article, we will cover the Commodity Futures i.e. futures with an underlying as Commodity like Gold, Silver, Crude Oil, Soya, Corn or anything that qualifies as a commodity. These futures

# Futures on Bonds: Trading Example & Introduction

Details about Bond Futures Trading with an example and calculations
In this article, we will cover the Bond Futures i.e. futures with an underlying as bonds. These futures can be exchange traded futures like those on NYSE or Pinksheet or can be OTC (Over the counter) between two parties on mutually agreed terms.

# Strap Option Trading: Maximum Profit & Loss

Continuing further from our past article on Strap Option Trading: Payoff Functions Explained with Example. here are the details of maximum profit and loss of Strap option trading.

# Strap Option Trading: Payoff Functions Explained with Example

Payoff function of Strap Option position
Further to the preious article on Strap Option Trading: Explained with Example, here are the details about strap option trading:
How to construct a Strap Option Position?

# Strap Option Trading: Explained with Example

Details about Strap Option Trading explained with example
This series of articles will be dedicated to explaining "Strap Option Trading".
The term "strap" is said to be a modified case of another commonly traded option combination called "Long Straddle Option Trading". One thing to note is that Strap has a BULLISH outlook for the option buyer or trader.

# Strip Option Trading: Maximum Profit & Loss

Continuing further from our past article on Strip Option Trading: Payoff Functions Explained with Example.

# Strip Option Trading: Payoff Functions Explained with Example

Payoff function of Strip Option position
Further to the preious article on Strip Option Trading: Explained with Example
How to construct a Strip Option Position?
A Strip Option Trading Position can be constructed by an option trader by simply buying 3 options as follows:

# Strip Option Trading: Explained with Example

Details about Strip Option Trading explained with example
This series of articles will be dedicated to explaining "Strip Option Trading".
The term "strip" is said to be a modified case of another commonly traded option combination called "Long Straddle Option Trading". One thing to note is that Strip is has bearish outlook for the option buyer or trader.

# Greeks for Synthetic Long Call Option: Delta, Gamma, Rho, Vega Theta

Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Synthetic Long Call Option Trading

# Synthetic Long Call Option Trading: Profit & Loss Calculations

Details about Profit & Loss Calculations for Synthetic Long Call Option Trading

# Synthetic Long Call Option Trading: Explained with Example

Details about Synthetic Long Call Option Trading Explained with Example
This series of articles will be dedicated to explaining Synthetic Long Call Option Trading.

Before reading the articles and checking the video tutorial on Short Straddle Option Trading, option traders should note that taking short straddle is highly risky, as well as costly because of high brokerage charges and comes with high capital requirements in terms of margin money requirements. All this for a limited profit potential and unlimited loss potential.

# Video-Short Strangle Option Trading

In our article, Short Strangle Option Trading Explained with Example & Payoff Functions we had covered the details about Short Strangle Option trading in a set of detailed articles.

# Video-Short Call Option Trading

How to Trade a Short Call Option - Example, Payoff Function and Trading explained for Short Call Option Trading

# Video-Short Put Option Trading

How to Trade a Short Put Option - Example, Payoff Function and Trading explained for Short Put Option Trading through a video tutorial.

# Video-Covered Call Option Trading

Contiuing further from our previous article, Covered Call Option Trading where I took you through a step by step process of understanding the covered call option with an example, here in this article we will see the video tutorial of Covered Call Option Trading.

# Video-Long Strangle Option Trading

In our article, Long Strangle Option Trading Explained with Example & Payoff Functions we had covered the details about Long Strangle Option trading in a set of detailed articles.

# Video-Long Straddle Option Trading explained with Example

In our article, Long Straddle Option Trading Explained with Example & Payoff Functions we had covered the details about Long Straddle Option trading in a set of detailed articles.

All the steps for adding the multiple option positions are covered in our article Adding multiple Call & Put Options Payoff Functions in a step by step fashion.

# Video-Long Put Option Trading Explained

We have covered the examples and payoff functions with step by step details for trading the Long Put Option in the article: Long Put Option Trading Explained.
We've now added a video tutorial on the same to our you tube channel, which clearly explains the step by step process of understanding and trading a long Put option position.

# Video-Long Call Option Trading Explained

We have covered the examples and payoff functions with step by step details for trading the Long Call Option in the article: Long Call Option Trading Explained.
We've now added a video tutorial on the same to our you tube channel, which clearly explains the step by step process of understanding and trading a long call option position.

# Put Ratio BackSpread Options Greeks: Delta, Gamma, Rho, Vega, Theta

Details about Ratio Put BackSpread Options Greeks: Delta, Gamma, Rho, Vega, Theta
Continuing further from our previous article Ratio Put BackSpread Options Trading: Profit & Loss Calculations, here are the Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Ratio Put BackSpread Option Trade

# Tips for Put Ratio BackSpread Options Trade: Entry & Exit Signals

Details about Entry signals and Exit signals for Put Ratio BackSpread Options Trading

# Ratio Put BackSpread Options Profit & Loss Calculations

Details about Profit & Loss Calculations for Ratio Put BackSpread Options Trading

# Put Ratio BackSpread Options Payoff Functions Explained

Details about Payoff Functions for Ratio Put BackSpread Options Trading

# Put Ratio BackSpread Options Trading Explained

Details, Example and explanation about Put Ratio BackSpread Options Trading
This series of article will be focusing on the Put Ratio BackSpread Options Trading.

# Stock Exchanges for Binary Options Trading

Details & List of stock exchanges offering Binary Options trading

# Greeks for Binary Options : Delta, Gamma, Rho, Vega Theta

Details about Greeks for Binary Options : Delta, Gamma, Rho, Vega Theta

# Binary Options Payoff Functions

Details about Binary Options Payoff Functions

# Binary Options Trading Example Explained

Details and Example of Binary Options Trading

# Binary Options Trading Explained

Details about Binary Options Trading Explained with Examples
This series of articles covers the very popular options called Binary Options which are heavily traded in the derivatives market.

# Butterfly Options Trading Explained: Example & Payoff Function

Details about Butterfly Options Trading Strategy Explained with Examples & Payoff Functions

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Disclaimer for FuturesOptionsETC.com:
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# About Us: Meet the Author

About FuturesOptionsETC.comFuturesOptionsETC.com, launched in April 2010, is an online interactive guide to the complex world of derivatives trading.

This site is primarily owned and maintained by Shobhit, who is a Professional Trader, Market Analyst, and Financial Writer. You can reach him by sending an email to contactus@futuresoptionsetc.com

## Why another website on derivatives?

While there are already many sites available on derivatives, most of them do not really explain derivatives in practical sense. Rather, the existing sites simply put up definitions of various derivative terms. A few of the missing pieces are like Examples & Payoff Functions are not included and usually not explained - somethings mandatory for understanding the complex derivatives. Practical trading needs like margin money requirements, transaction commissions consideration and their impact on profitability, real meaning of unlimited profit & loss, etc. are also not covered by majority of the sites.

Written in a dialogue form in simple language, the articles on FuturesOptionsETC.com are complemented with a rich set of original charts, graphs and images which are necessarily required to understand derivatives. Videos are also included in the articles as needed.
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The high quality content, especially the images and charts, can be easily found on the first few organic search results of Google and other search engines.

# Call Ratio BackSpread Options Greeks: Delta, Gamma, Rho, Vega, Theta

Details about Ratio Call BackSpread Options Greeks: Delta, Gamma, Rho, Vega, Theta

# Ratio Call BackSpread Options Profit & Loss Calculations

Details about Profit & Loss Calculations for Ratio Call BackSpread Options Trading

# Call Ratio BackSpread Options Payoff Functions Explained

Details about Payoff Functions for Ratio Call BackSpread Options Trading

# Ratio Call BackSpread Options Trading Example Explained: Short Call Ratio Spread

Details about Ratio Call BackSpread Options Trading Explained with Example

# Call Ratio Spread Options Greeks: Delta, Gamma, Rho, Vega, Theta

Details about Ratio Call Spread Options Greeks: Delta, Gamma, Rho, Vega, Theta

# Ratio Call Spread Options Profit & Loss Calculations

Details about Profit & Loss Calculations for Ratio Call Spread Options Trading

# Call Ratio Spread Options Payoff Functions Explained

Details about Payoff Functions for Ratio Call Spread Options Trading

# Ratio Call Spread Options Trading Example Explained

Details about Ratio Call Spread Options Trading Explained with Example
This series of articles will be dedicated to explaining the Ratio Call Spread Options Trading.
The name of "Ratio Spread" comes from 2 factors

# Greeks for Short Call Butterfly Option: Delta, Gamma, Rho, Vega, Theta

Continuing further from our previous article Short Call Butterfly Options Trading: Profit & Loss Calculations, here are the Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Short Call Butterfly Option Trade

# Short Call Butterfly Options: Profit & Loss Calculations

Continuing further from our previous post Short Call Butterfly Options Trading Explained: Example & Payoff Charts , lets see the details about Profit & Loss Calculations for Short Call Butterfly Options.

# Short Call Butterfly: Example & Payoff Charts

Continuing further from our previous article Short Call Butterfly Options Introduction, here are the Details about Short Call Butterfly Spread Trading with Payoff Chart explained with an example
Short Butterfly Spread offers the options trader a limited risk limited profit potential

# Short Call Butterfly Options Explained

Details about Short Call Butterfly Spread Trading explained with an example
This series of articles will be dedicated to explaining another commonly traded option strategy called the Short Call Butterfly Options Trading.

# Greeks for Short Put Butterfly Option: Delta, Gamma, Rho, Vega Theta

Continuing from our previous article Short Put Butterfly: Profit & loss Calculations
Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Short Put Butterfly Option Trade

# Short Put Butterfly Options Trading: Profit & Loss Calculations

Continuing further from our previous post Short Put Butterfly Options Trading Explained: Example & Payoff Charts , lets see the details about Profit & Loss Calculations for Short Put Butterfly Options.

# Short Put Butterfly Options Trading Explained: Example & Payoff Charts

Continuing further from our previous article Short Put Butterfly Options Introduction, here are the Details about Short Put Butterfly Spread Trading with Payoff Chart explained with an example

# Short Put Butterfly Options

Details about Short Put Butterfly Spread Trading explained with an example
This series of articles will be dedicated to explaining another commonly traded option strategy called the Short Put Butterfly Options Trading.

# Adding multiple Call & Put Options Payoff Functions

Continuing further from our previous article part I Adding multiple Call & Put Options Payoff Functions, here are the next steps:

# Mathematics of Options Trading: Adding Multiple Call & Put Payoff Functions

How to add multiple payoff function charts for multiple option positions (calls and puts)

# Payoff Function Examples for Options

Payoff Function Examples for Options

# The Mathematics of Payoff Functions

Details about calculation, addition and subtraction of Payoff Functions for Derivatives & Stock Trading

# Payoff Functions for Options & Futures: Explained with Example

Details about Payoff Functions Explained with Example for futures and options trading.
In this article, let us cover the basic details about payoff functions, which are an integral part of understanding Futures, Options and other derivatives trading scenarios.

# List of Infrastructure Funds & ETF's

Infrastructure Funds List for investments in the infrastructure sector

# Different Types Of Infrastructure Funds and Infrastructure ETF

Continuing further from our previous article Introduction to Infrastructure Funds and ETF, here are the details about different types of Infra Funds

# Infrastructure Funds and ETF Introduction

What comes to the mind when someone mentions the word "Infrastructure"? Basically, the picture that emerges is some things that have to do with the construction for public use like roads, bridges, etc. and that is also something which is controlled or built by government (directly or indirectly).

# Greeks for Short Strangle Option: Delta, Gamma, Rho, Vega Theta

Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Short Strangle Option Trading

# Tips to Enter & Exit Short Strangle Options Trading Position

Tips to enter the Short Strangle Option Trading Position:

# Short Strangle Options Trading Explained: Example & Payoff Charts

Details about Short Strangle Option Trading with Payoff Chart explained with an example

# Short Strangle Options Trading: Profit & Loss Calculations

Continuing further from our earlier part on Short Strangle Options Trading Explained: Example & Payoff Function, here are the details about Profit & Loss Calculations for Short Strangle Options Trading

# Short Strangle Options Trading

As an option trader, you may have noticed that the market or stock prices isn’t moving much in any direction over a given period of time.

# Greeks for Long Strangle Option: Delta, Gamma, Rho, Vega Theta

Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Long Strangle Option Trading

# Tips to Enter & Exit Long Strangle Options Trading Position

Tips to enter the Long Strangle Option Trading Position:

# Long Strangle Options Trading: Profit & Loss Calculations

Continuing further from our earlier part on Long Strangle Options Trading Explained: Example & Payoff Charts , here are the details about Profit & Loss Calculations for Long Strangle Options Trading Position

# Long Strangle Option Explained: Example & Payoff Functions

Continuing further from our part I on series of Long Strangle Options Trading, here is part II where we cover Example & Payoff functions of Long Strangle Option

# Long Strangle Option Trading

We have already covered Long Straddle Option Trading earlier. In this series of articles, we will cover another very commonly traded option combination called the Long Strangle.

# Option Trading Tutorial Part 5: Payoff Functions Summary

Continuing further from the 2nd part Price Adjustments in Payoff Functions, here is the 5th part of the series on option trading tutorials.

# Option Trading Tutorial Part 4: Price Adjustments in Payoff Functions

Continuing further from the 3rd part Options Payoff Functions Introduction, here is the 4th part of the series on option trading tutorials.

# Option Trading Tutorial Part 3: Payoff Functions Continued

Continuing further from the 2nd part Options Payoff Functions, here is the 3rd part of the series on option trading tutorials.
However, nothing in this world comes for free. So let’s introduce a practical price in the above case.

# Option Trading Tutorial Part 2: Introducing Payoff Functions

In the first part of the derivatives and options trading tutorial, we had seen that RISK of any project or investment is always the most intimidating aspect.

But how do we quantify risk?

# Option Trading Tutorial Part 1

Let me start the much awaited options trading tutorial :- )
I know that people have been waiting for this for a very long time, but I’m sure that you all will equally appreciate that creating charts, graphs and other data items on a computer with proper settings take time.

# Greeks for Short Straddle Option: Delta, Gamma, Rho, Vega Theta

Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Short Straddle Option Trading

# Tips to Enter & Exit Short Straddle Options Trading Position

Tips to enter the Short Straddle Option Trading Position:

# Short Straddle Options Trading: Profit & Loss Calculations

Continuing further from our earlier part on Short Straddle Options Trading Explained: Example & Payoff Charts , here are the details about Profit & Loss Calculations for Short Straddle Options Trading

# Short Straddle Options Trading Explained: Example & Payoff Charts

Details about Short Straddle Option Trading with Payoff Chart explained with an example

As an option trader, one notes that most of the time the market or stock prices dont move much within a small period of time.

# Greeks for Long Straddle Option: Delta, Gamma, Rho, Vega Theta

Continuing from Tips to Enter and Exit Long Straddle Options Position, here are the Greek values for Long Straddle.

# Tips to Enter & Exit Long Straddle Options Positions

Continuing from Part II of this Long Straddle Option Trading series Long Straddle Option Trading Profit & Loss Calculation, here are the tips to enter and exit Long Straddle Option positions

# Long Straddle Options Trading: Profit & Loss Calculations

Continuing from Part I of Long Straddle Options Trading article Long Straddle Option Example & Payoff Function, here is part II with Profit and Loss Calculations

# Long Straddle Options Trading Explained: Example & Payoff Charts

Details about Long Straddle Option Trading with Payoff Chart explained with an example
All the options trader across the globe know that one of the simplest and most effective option combination is the Long Straddle Option Trading Strategy.

# Greeks for Long Put Butterfly Option: Delta, Gamma, Rho, Vega Theta

Continuing further from our part II of this series Long Put Butterfly Option Trading
Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Long Put Butterfly Option Trade

# Long Put Butterfly Options Spread Trading: Profit & Loss Calculations

Continuing further from Part I of this article Long Put Butterfly Options Spread Trading, here is the second part
What are the breakeven points for the Long Put Butterfly Spread Option ?

# Long Put Butterfly Spread Options Trading Explained: Example & Payoff Charts

Details about Long Put Butterfly Spread Trading with Payoff Chart explained with an example
In our past series, we covered the Long Call Butterfly Trading, i.e. the Butterfly spread position was constructed using the Call Options. In this article, we will discuss the same Long Butterfly Spread but now constructed with the Put options

# Greeks for Long Call Butterfly Option: Delta, Gamma, Rho, Vega Theta

Further to our articles on Long Call Butterfly Profit & Loss Calculation and Long Call Butterfly Options Spread Trading
Details about Greeks (Delta, Gamma, Rho, Vega Theta) for Long Call Butterfly Option Trade

# Long Call Butterfly Options Spread Trading: Profit & Loss Calculations

Continuing further from our previous article Long Call Butterfly Options Spread Trading
What are the breakeven points for the Long Call Butterfly Spread Option ?

# Long Call Butterfly Spread Options Trading Explained: Example & Payoff Charts

Details about Long Call Butterfly Spread Trading with Payoff Chart exaplined with an example
In this article, we will discuss the Long Call Butterfly Spread Options Position and how that can be traded.

# Short Gut Options Trading: Profit & Loss Calculation

Details about Profit and Loss calculations in Short Gut Options

# Short Gut Options Trading: Example with Payoff Charts Explained

Details about Short Gut Option Trading with Payoff Chart exaplined with an example

# Long Gut Option Trading

Continuing further from the Part I of this article: Long Gut Option Trading
What are the breakeven points for the Long Gut Option trading position?

# Long Gut Options Trading: Example with Payoff Charts Explained

Details about Long Gut Option Trading with Payoff Chart explained with an example
In this article, we will cover the details of Long Guts Option Trading and explain it with an example.