Abstract: The parking assist apparatus includes a sensor that detects an object by receiving a reflected wave reflected by the object by a transmitted wave, and a controller that executes parking assist control for parking the vehicle in a parking space set based on a detection result of the sensor. The controller provides a predetermined margin to a size of a peripheral object, which is an object detected by the sensor and exists around the parking space, in a provisional direction in which the parking space is narrowed. The controller executes parking assist control using a size of the peripheral object to which the margin is provided. When the size of the peripheral object newly detected by the sensor becomes larger than the size to which the margin is provided, the controller executes parking assist control using the size of the peripheral object newly detected by the sensor.

Abstract: Systems and methods for creating and disseminating an interest rate swap volatility index based on an underlying interest rate swaption, and for creating and trading derivative investment products based on the interest rate swap volatility index, are disclosed. In one aspect, an interest rate swap volatility index based on an underlying interest rate swaption is calculated. The interest rate swap volatility index may be accessed by a processor of a trading platform and a standardized, exchange traded derivative may be created based on the calculated interest rate swap volatility index. Information associated with the interest rate swap volatility index derivative may then be transmitted for display.

Abstract: A computer system for calculating a credit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on credit default swap index derivatives; calculate, using the data regarding options on credit default swap index derivatives, the credit volatility index; and transmit data regarding the credit volatility index.

Abstract: A computer system for calculating a government bond volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on government bond derivatives; calculate, using the data regarding options on government bond derivatives, the government bond volatility index; and transmit data regarding the government bond volatility index.

Abstract: A computer system for calculating a time deposit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on time deposit derivatives; calculate, using the data regarding options on time deposit derivatives, the time deposit volatility index; and transmit data regarding the time deposit volatility index.

Abstract: A computer system for handling missing or infrequent data used for calculating an index is described. The computer system uses the data approximation scheme for calculating a credit volatility index. The computer system includes a memory configured to store at least one program and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options and, when data for a complete input data set is missing after a predetermined period, retrieve or generate estimated data points needed to calculate the index. The data points may be for credit default swap index derivatives using data regarding options on credit default swap index derivatives. The processor may generate a credit volatility index and transmit data regarding the credit volatility index.

Abstract: Systems and methods for creating and disseminating an interest rate swap volatility index based on an underlying interest rate swaption, and for creating and trading derivative investment products based on the interest rate swap volatility index, are disclosed. In one aspect, an interest rate swap volatility index based on an underlying interest rate swaption is calculated. The interest rate swap volatility index may be accessed by a processor of a trading platform and a standardized, exchange traded derivative may be created based on the calculated interest rate swap volatility index. Information associated with the interest rate swap volatility index derivative may then be transmitted for display.

Abstract: A computer system for calculating a government bond volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on government bond derivatives; calculate, using the data regarding options on government bond derivatives, the government bond volatility index; and transmit data regarding the government bond volatility index.

Abstract: A computer system for calculating a time deposit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on time deposit derivatives; calculate, using the data regarding options on time deposit derivatives, the time deposit volatility index; and transmit data regarding the time deposit volatility index.

Abstract: A computer system for calculating a credit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on credit default swap index derivatives; calculate, using the data regarding options on credit default swap index derivatives, the credit volatility index; and transmit data regarding the credit volatility index.

Abstract: A computer system for calculating a time deposit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on time deposit derivatives; calculate, using the data regarding options on time deposit derivatives, the time deposit volatility index; and transmit data regarding the time deposit volatility index.

Abstract: Systems and methods for creating and disseminating an interest rate swap volatility index based on an underlying interest rate swaption, and for creating and trading derivative investment products based on the interest rate swap volatility index, are disclosed. In one aspect, an interest rate swap volatility index based on an underlying interest rate swaption is calculated. The interest rate swap volatility index may be accessed by a processor of a trading platform and a standardized, exchange traded derivative may be created based on the calculated interest rate swap volatility index. Information associated with the interest rate swap volatility index derivative may then be transmitted for display.

Abstract: A computer system for calculating a credit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on credit default swap index derivatives; calculate, using the data regarding options on credit default swap index derivatives, the credit volatility index; and transmit data regarding the credit volatility index.

Abstract: A computer system for calculating a government bond volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on government bond derivatives; calculate, using the data regarding options on government bond derivatives, the government bond volatility index; and transmit data regarding the government bond volatility index.

Abstract: A computer system for calculating a time deposit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on time deposit derivatives; calculate, using the data regarding options on time deposit derivatives, the time deposit volatility index; and transmit data regarding the time deposit volatility index.

Abstract: A computer system for calculating a time deposit volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on time deposit derivatives; calculate, using the data regarding options on time deposit derivatives, the time deposit volatility index; and transmit data regarding the time deposit volatility index.

Abstract: A computer system for calculating a government bond volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on government bond derivatives; calculate, using the data regarding options on government bond derivatives, the government bond volatility index; and transmit data regarding the government bond volatility index.

Abstract: A computer system for calculating a government bond volatility index comprising memory configured to store at least one program; and at least one processor communicatively coupled to the memory, in which the at least one program, when executed by the at least one processor, causes the at least one processor to receive data regarding options on government bond derivatives; calculate, using the data regarding options on government bond derivatives, the government bond volatility index; and transmit data regarding the government bond volatility index.

Abstract: Systems and methods for creating and disseminating an interest rate swap volatility index based on an underlying interest rate swaption, and for creating and trading derivative investment products based on the interest rate swap volatility index, are disclosed. In one aspect, an interest rate swap volatility index based on an underlying interest rate swaption is calculated. The interest rate swap volatility index may be accessed by a processor of a trading platform and a standardized, exchange traded derivative may be created based on the calculated interest rate swap volatility index. Information associated with the interest rate swap volatility index derivative may then be transmitted for display.