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The Average Time Between Trades for a High-Frequency Trading Investment

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The average time between trades for a high-frequency trading investment firm is 40 seconds. Assume the time between trades is exponentially distributed. What is the probability that the time between trades for a randomly selected trade and the one proceeding it is less than 20 seconds?


Definitions:

Forward Contract

A personalized agreement between two entities to purchase or sell a specific asset at a predetermined price on a later date.

Thermal Compressors

Devices that use heat energy to compress a gas, often used in heat pump and refrigeration systems.

Spot Rate

The current market price at which a currency can be bought or sold for immediate delivery.

Forward Rate

An agreed-upon price for a financial transaction that will occur at a future date, often used in foreign exchange and interest rate markets.

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