The following refers to Benjamin Franklin's gift, discussed here.

Answer the following questions based on information in the linked document. $($Answer in pounds, not dollars.$)$

What was Benjamin Franklin's projection for the value in each loan fund after the first $100$ years?

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At the $100-$year mark, how much money would continue to be used for each loan fund?

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What was Benjamin Franklin's projection for the value in each loan fund at the end of $200$ years?

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Which approximate compound interest rate would Benjamin Franklin have used in projecting the $200-$year future value of the loan fund? Compound annually, and use pounds, not dollars, in your calculation.

$1\%$

$2\%$

$3\%$

$4\%$

$5\%$

$6\%$

$7\%$