Method of Creating and Trading Derivative Investment Products Based on a Statistical Property Reflecting the Volatility of an Underlying Asset

• US 20090222372A1
• Filed: 02/27/2009
• Published: 09/03/2009
• Est. Priority Date: 11/17/2006
• Status: Abandoned Application

• Current Assignee: John Hiatt Jr
• Original Assignee: John Hiatt Jr
• Inventors: Hiatt, John JR.
• Application Number:
  US12/394,798
• Publication Number:
  US 20090222372A1
• Time in Patent Office: Days
• US Class Current: 705/37
• CPC Class Codes: G06Q 40/04 Trading; Exchange, e.g. stocks, commodities, derivatives or currency exchange
• CPC Class Codes: G06Q 40/06 Asset management; Financial planning or analysis

Abstract

A method of creating and trading derivative contracts based on a statistical property reflecting a volatility of an underlying asset is disclosed. Typically, an underlying asset is chosen to be a base of a volatility derivative and a processor calculates a value of the statistical property reflecting an average volatility of price returns of the underlying asset over a predefined period. A trading facility display device coupled to a trading platform then displays the volatility derivative based on the value of the statistical property reflecting the volatility of the underlying asset and the trading facility transmits volatility derivative quotes from liquidity providers over at least one dissemination network.

Claims

1. A method of creating derivatives based on a volatility of an underlying asset, comprising:

calculating a value for a statistical property reflecting the volatility of the underlying asset on a processor of a volatility property module, the value for the statistical property reflecting an average volatility of price returns of the underlying asset over a predefined time period;

creating at least one volatility derivative based on the statistical Property;

displaying the at least one volatility derivative on a trading facility display device coupled to a trading platform;

transmitting at least one volatility derivative quote of a liquidity provider from a dissemination module of the trading facility to at least one market participant, and

settling a volatility derivative based on a difference between a first statistical Property reflecting a volatility of the underlying asset and a strike price of the volatility derivative set at a second statistical Property reflecting a volatility of the underlying asset.

2. The method of claim 1, wherein calculating the value for the statistical property reflecting the volatility of the underlying asset comprises:

calculating the value of the statistical property according to the formula;

$\mathrm{Volatility}=\sqrt{\mathrm{AF}*\underset{i=1}{\overset{N_a-1}{\sum <br><br>}}<br><br>\frac{R_i^2}{N_e-1}},<br><br>\mathrm{wherein}<br><br>\text{;<br><br>}$ $R_i=\ln <br><br>\frac{P_{i+1}}{P_i},$

P_i is an initial value of the underlying asset used to calculate a daily return, P_i+1 is a final value of the underlying asset used to calculate the daily return, N_e is a number of expected underlying asset values needed to calculate daily returns during a volatility calculation period, N_a is an actual number of underlying asset values used to calculate daily returns during the volatility calculation period; and

AF is an annualization factor.

3. The method of claim 1, wherein calculating the value for the statistical property reflecting the volatility of the underlying asset comprises:

calculating the value of the statistical property according to the formula;

$\mathrm{Volatility}=\sqrt{\mathrm{AF}}*\left(\underset{i=1}{\overset{N_a}{\sum <br><br>}}<br><br>\mathrm{abs}<br><br>\left(R_i\right)/N_e\right)$ $\mathrm{wherein}<br><br>\text{;<br><br>}$ $R_i=\ln <br><br>\frac{P_{i+1}}{P_i},$

P_i is an initial value of the underlying asset used to calculate a daily return, P_i+1 is a final value of the underlying asset used to calculate the daily return, N_e is a number of expected underlying asset values needed to calculate daily returns during the volatility calculation period, N_a is an actual number of underlying asset values used to calculate daily returns during the volatility calculation period, and AF is the annualization factor.

4. The method of claim 1, wherein calculating the value for the statistical property reflecting the volatility of the underlying asset comprises:

calculating an average of a summation of each squared daily return of the underlying asset.

5. The method of claim 4, wherein calculating the value of the statistical property reflecting the volatility of the underlying asset comprises:

removing the squared deviation of a daily return of the underlying asset that corresponds to a market disruption event.

6. The method of claim 1, further comprising:

executing trades for the volatility derivative by matching bids and offers to buy and sell positions in volatility derivatives.

7. The method of claim 1, wherein the underlying asset is selected from the group consisting of:

equity indexes or securities;

fixed income indexes or securities;

foreign currency exchange rates;

interest rates;

commodity indexes;

options;

futures; and

commodity or structured products traded on a trading facility or over-the-counter market.

8. The method of claim 1, wherein at least one of the at least one volatility derivative is a volatility option contract.

9. The method of claim 1, wherein at least one of the at least one volatility derivative is a volatility futures contract.

10. The method of claim 9, further comprising:

calculating a cumulative realized volatility of the volatility futures contract on a processor, wherein the cumulative realized volatility is an average of the value of the statistical property during a volatility calculation period of the volatility futures contract up to a current date;

displaying the cumulative realized volatility on the trading facility display device; and

transmitting the cumulative realized volatility from the trading facility to at least one market participant.

11. The method of claim 10, further comprising:

calculating an implied realized volatility of the volatility futures contract according to the formula;

$\mathrm{Implied}<br><br><br><br>\mathrm{Volatility}=\frac{\mathrm{TP}-\mathrm{RV}*\frac{{\mathrm{Day}}_{\mathrm{Current}}}{{\mathrm{Day}}_{\mathrm{Total}}}}{{\mathrm{Day}}_{\mathrm{Left}}/{\mathrm{Day}}_{\mathrm{Total}}},$

wherein TP is a last trading price of the volatility futures contract;

RV is the cumulative realized volatility;

Day_current is a total number of trading days that have passed in the volatility calculation period;

Day_Total is a total number of trading days in the volatility calculation period; and

Day_Left is a number of trading days left in the volatility calculation period;

displaying the implied realized volatility on the trading facility display device; and

transmitting the implied realized volatility from the trading facility to at least one market participant.

12. The method of claim 9, wherein the volatility futures contract has a set expiration date.

13. The method of claim 1, wherein the trading platform is an open outcry platform.

14. The method of claim 1, wherein the trading platform is an electronic platform.

15. The method of claim 1, wherein the trading platform is a hybrid of an open outcry platform and an electronic platform.

16. The method of claim 1, further comprising:

transmitting the at least one volatility derivative quote from the trading facility over at least one dissemination network.

17. The method of claim 16, wherein the dissemination network is the Options Price Reporting Authority.

18. The method of claim 1, wherein the trading facility is an exchange.

19. The method of claim 1, wherein the liquidity provider is selected from the group consisting of:

Designated Primary Market Makers (“

DPM”

), market makers, locals, specialists, trading privilege holders, members, and a registered trader.

20. The method of claim 1, wherein the market participant is selected from the group consisting of:

a liquidity provider, a brokerage firm, and a normal investor.

21. A computer-readable storage medium comprising a set of instruction for creating derivatives based on a volatility of an underlying asset, the set of instructions to direct a processor to perform acts of:

calculating a value for a statistical property reflecting the volatility of the underlying asset, the value for the statistical property reflecting an average volatility of price returns of the underlying asset over a predefined time period;

creating at least one volatility derivative based the statistical property;

displaying the at least one volatility derivative on a trading facility display device coupled to a trading platform;

transmitting at least one volatility derivative quote of a liquidity provider from a dissemination module of the trading facility to at least one market participant; and

settling a volatility derivative based on a difference between a first statistical property reflecting a volatility of the underlying asset and a strike price of the volatility derivative set at a second statistical property reflecting a volatility of the underlying asset.

22. A system for creating and trading derivatives based on the volatility of an underlying asset, comprising:

a volatility property module comprising a first processor, a first memory coupled with the first processor, and a first communications interface coupled with a communications network, the first processor, and the first memory;

a dissemination module coupled with the volatility property module, the dissemination module comprising a second processor, a second memory coupled with the second processor, and a second communications interface coupled with the communications network, the second processor, and the second memory;

a trading module coupled with the dissemination module, the trading module comprising a third processor, a third memory coupled with the third processor, and a third communications interface coupled with the communications network, the third processor, and the third memory;

a first set of logic, stored in the first memory and executable by the first processor to receive current values for an underlying asset of a volatility derivative through the first communications interface;

calculate a realized volatility, cumulative realized volatility, and implied realized volatility for the underlying asset; and

pass values for the calculated realized volatility, cumulative realized volatility, and implied realized volatility to the dissemination module; and

a second set of logic, stored in the second memory and executable by the second processor to receive the calculated realized volatility, cumulative realized volatility, and implied realized volatility values for the underlying asset from the volatility property module; and

disseminate the calculated values through the second communications interface to at least one market participant; and

a third set of logic, stored in the third memory and executable by the third processor, to receive at least one buy or sell order over the communications network;

execute the buy or sell order;

pass a result of the buy or sell order to the dissemination module; and

settle at least one trading derivative based on a difference between a first statistical property reflecting a volatility of the underlying asset and a strike price of the at least one trading derivative set at a second statistical property reflecting a volatility of the underlying asset.

23. A method of creating derivatives based on a volatility of an instrument based on an underlying asset, comprising:

calculating a value for a statistical property reflecting the volatility of the instrument based on the underlying asset on a processor of a volatility property module, the value for the statistical property reflecting an average volatility of price returns of the instrument based on the underlying asset over a predefined time period;

creating at least one volatility derivative based on the statistical property;

displaying the at least one volatility derivative on a trading facility display device coupled to a trading platform;

transmitting at least one volatility derivative quote of a liquidity provider from a dissemination module of the trading facility to at least one market participant; and

settling a volatility derivative based on a difference between a first statistical property reflecting a volatility of the instrument based on the underling asset and a strike price of the volatility derivative set at a second statistical property reflecting a volatility of the instrument based on the underlying asset.

24. A computer-readable storage medium comprising a set of instructions for creating derivatives based on a volatility of an instrument based on an underlying asset, the set of instructions to direct a processor to perform acts of:

calculating a value for a statistical property reflecting the volatility of the instrument based on the underlying asset, the value for the statistical property reflecting an average volatility of price returns of the instrument based on the underlying asset over a predefined time period;

creating at least one volatility derivative based on the statistical property;

displaying the at least one volatility derivative on a trading facility display device coupled to a trading platform;

transmitting at least one volatility derivative quote of a liquidity provider from a dissemination module of the trading facility to at least one market participant; and

settling a volatility derivative based on a difference between a first statistical property reflecting a volatility of the instrument based on the underling asset and a strike price of the volatility derivative set at a second statistical property reflecting a volatility of the instrument based on the underlying asset.