System and method for providing a volatility arbitrage index
View Patent ↗A system comprises a memory operable to store a first closing value of an index for a first day, wherein the index is based at least in part on a cash account and a variance future. The system further comprises a processor communicatively coupled to the memory and operable to determine a first settlement value of a variance future for the first day and to determine a second settlement value of the variance future for a second day. The processor is further operable to determine an increase of cash in the cash account from the first day to the second day, wherein the determination is based at least in part on an interest rate. The processor is further operable to determine a second closing value of the index for the second day, wherein the determination is based at least in part on the determined increase of cash in the cash account, the first settlement value, and the second settlement value. The processor is further operable to store the second closing value in the memory.
1. A system, comprising:
a memory operable to store a first closing value of an index for a first day, wherein the index is based at least in part on a cash account and a variance future;
a processor communicatively coupled to the memory and operable to:
determine a first settlement value of a variance future for the first day;
determine a second settlement value of the variance future for a second day;
determine an increase of cash in the cash account from the first day to the second day, wherein the determination is based at least in part on an interest rate;
determine a second closing value of the index for the second day, wherein the determination is based at least in part on:
the determined increase of cash in the cash account;
the first settlement value; and
the second settlement value;
and
store the second closing value in the memory.
2. The system of claim 1 , wherein the index emulates a collateralized short position in the variance future.
3. The system of claim 1 , wherein:
the processor is further operable to determine a return associated with a variance future from the first day to the second day;
the determined return is based at least in part on:
the first settlement value;
the second settlement value; and
a volatility threshold associated with the variance future;
and
the determination of the second closing value is based at least in part on the determined return.
4. The system of claim 3 , wherein the volatility threshold is based at least in part on one or more historical values of realized volatility of the variance future.
5. The system of claim 1 , wherein, in conjunction with a final settlement day of the variance future, the processor is further operable to:
determine a closing value of the index; and
adjust the cash in the cash account to be substantially equal to the determined closing value.
6. The system of claim 1 , wherein the variance future represents a CBOE S&P 500 Three-Month Variance Future.
7. The system of claim 1 , wherein:
the cash account is held by a publicly traded fund that tracks the target index;
the fund maintains a short position in one or more variance futures; and
in conjunction with a final settlement day of the variance future, the processor is further operable to reset the cash account to be equal to a closing value of target index on the final settlement day.
8. The system of claim 1 , wherein the interest rate is a BBA Overnight LIBOR rate.
9. The system of claim 1 , wherein:
the processor is further operable to cause one or more client devices to display the second closing value; and
at least one client device is operable to submit a trading order associated with the index, wherein the trading order is based at least in part on the second closing value.
10. A method, comprising:
storing a first closing value of an index for a first day, wherein the index is based at least in part on a cash account and a variance future;
determining a first settlement value of a variance future for the first day;
determining a second settlement value of the variance future for a second day;
determining an increase of cash in the cash account from the first day to the second day, wherein the determination is based at least in part on an interest rate;
determining, with a processor, a second closing value of the index for the second day, wherein the determination is based at least in part on:
the determined increase of cash in the cash account;
the first settlement value; and
the second settlement value;
and
storing the second closing value in memory.
11. The method of claim 10 , wherein the index emulates a collateralized short position in the variance future.
12. The method of claim 10 , further comprising determining a return associated with a variance future from the first day to the second day, wherein:
the determined return is based at least in part on:
the first settlement value;
the second settlement value; and
a volatility threshold associated with the variance future;
and
the determination of the second closing value is based at least in part on the determined return.
13. The method of claim 12 , wherein the volatility threshold is based at least in part on one or more historical values of realized volatility of the variance future.
14. The method of claim 10 , further comprising, in conjunction with a final settlement day of the variance future:
determining a closing value of the index; and
adjusting the cash in the cash account to be substantially equal to the determined closing value.
15. The method of claim 10 , wherein the variance future represents a CBOE S&P 500 Three-Month Variance Future.
16. The method of claim 10 , wherein:
the cash account is held by a publicly traded fund that tracks the target index; and
the fund maintains a short position in one or more variance futures;
and further comprising:
in conjunction with a final settlement day of the variance future, resetting the cash account to be equal to a closing value of target index on the final settlement day.
17. The method of claim 10 , wherein the interest rate is a BBA Overnight LIBOR rate.
18. The method of claim 10 , further comprising:
causing one or more client devices to display the second closing value; and
executing a trade associated with the index, wherein the trade is executed based at least in part on the second closing value.