Abstract: A trusted blockchain oracle observes events extrinsic to a blockchain to yield an indication of the extrinsic event suitable for submission to a decentralized application on a blockchain. The trusted blockchain oracle signs the indications of the extrinsic events to yield a signed blockchain record. The trusted blockchain oracle publishes a feed of the signed blockchain records or otherwise distributes the signed blockchain records to potential users of the decentralized application at low computational cost. Users who wish to submit a signed blockchain record to the decentralized application may form and broadcast their own transactions including the signed blockchain record and bear the costs of confirming the transaction to the blockchain. The trusted blockchain oracle is thus relieved of the costs of confirming extrinsic events online and may provide a much larger amount of extrinsic event indications than would otherwise be possible.

Abstract: A trusted blockchain oracle observes events extrinsic to a blockchain to yield an indication of the extrinsic event suitable for submission to a decentralized application on a blockchain. The trusted blockchain oracle signs the indications of the extrinsic events to yield a signed blockchain record. The trusted blockchain oracle publishes a feed of the signed blockchain records or otherwise distributes the signed blockchain records to potential users of the decentralized application at low computational cost. Users who wish to submit a signed blockchain record to the decentralized application may form and broadcast their own transactions including the signed blockchain record and bear the costs of confirming the transaction to the blockchain. The trusted blockchain oracle is thus relieved of the costs of confirming extrinsic events online and may provide a much larger amount of extrinsic event indications than would otherwise be possible.

Abstract: Option contracts are traded by valuing an option that has at least one of a) strike price or b) expiration time unknown at the time the option is valued. The previously unknown values of the option are assigned at the time or after the time the trade is completed. An implied underlying price stream is generated from the option prices through the use of feed back between market participants and the marketplace. The resulting system is useful in trading option contracts of short time duration.

Abstract: Option contracts are traded by valuing an option that has at least one of a) strike price or b) expiration time unknown at the time the option is valued. The previously unknown values of the option are assigned at the time or after the time the trade is completed. An implied underlying price stream is generated from the option prices through the use of feed back between market participants and the marketplace. The resulting system is useful in trading option contracts of short time duration.

Abstract: Option contracts are traded by valuing an option that has at least one of a) strike price or b) expiration time unknown at the time the option is valued. The previously unknown values of the option are assigned at the time or after the time the trade is completed. An implied underlying price stream is generated from the option prices through the use of feedback between market participants and the marketplace. The resulting system is useful in trading option contracts of short time duration.