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You Have Just Won the Multi-State Lottery

question 67

Multiple Choice

You have just won the Multi-State Lottery. You have the option of receiving a check for $40,000,000 every year at the end of the next 23 years. The lottery commission also allows you the option of receiving a one-time payment of $414,842,358 when you turn in the winning ticket. What is the approximate interest rate that the lottery commission is using to determine the one-time payment? (Use spreadsheet software or a financial calculator to calculate your answer. Do not round any intermediary calculations, and round your final answer to the nearest percent, X%.)

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Definitions:

Risk-free Rates

Risk-free Rates represent the return on investment of an absolutely safe asset, with no risk of financial loss, typically exemplified by treasury bills of a stable government.

Spot Exchange Rate

The existing exchange value for immediate buying or selling of a currency.

Futures Price

The agreed-upon price for the future delivery of a particular commodity, financial instrument, or currency.

Risk-free Rates

Theoretical return rates on an investment assumed to have no risk of financial loss, typically represented by the yield on government securities.

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