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You see the following rates (continuously compounded APRs). Suppose that someone came to you with an opportunity: they need $1,000 in 2 months to invest

You see the following rates (continuously compounded APRs). Suppose that someone came to you with an opportunity: they need $1,000 in 2 months to invest in a project. 2 months later (4 months from today) they will pay you back plus $6.62 of interest. Should you take the deal? If yes, what is the lowest interest payment you can accept for this deal?

1 month

2 months

3 months

4 months

5 months

6 months

2.60%

2.75%

2.85%

2.93%

2.98%

3.00%

*Please provide step by step instructions with any formulas if applicable*

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