Short Answer

Calculating Implied Interest Rate

An individual has an initial endowment of $500 available for consumption today and expects no income in the future. They find that if they choose to consume only $200 today, they can have $360 available for consumption in the future. This trade-off is possible because they can lend any amount of their current money at a single, constant interest rate. Based on this information, what is the annual interest rate they are able to secure on their lending? Show your calculation and briefly explain your steps.

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Updated 2026-05-02

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