Elon Musk asks you to invest $10M in his new cyber scooter product. He promises that he will return $15M to you at the end of the next 5 years. On the other hand, your good friend and hedge fund manager Jim Simons wants you to invest in his new fixed income fund. Jim promises that your money will be continuously compounded over the next 5 years. At what interest rate would Jim’s offer be better than that of Elon’s?

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Exponential And Logarithmic Functions
Section11.2: Applications Of Exponential Functions
Problem 27PS
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Elon Musk asks you to invest $10M in his new cyber scooter product. He promises that he will return $15M to you at the end of the next 5 years. On the other hand, your good friend and hedge fund manager Jim Simons wants you to invest in his new fixed income fund. Jim promises that your money will be continuously compounded over the next 5 years.

At what interest rate would Jim’s offer be better than that of Elon’s?

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