How many months will it take $$1,500$ to double in an account that pays an annual percentage rate $($APR$)$ of $5$ percent, compounded semi$-$annually?

You are looking for an investment that pays monthly interest and can triple your money in $10$ years. What annual rate of return does this investment need to be making?

Consider an investment with the following cash flow; each period is a year:

How much is this investment worth today if interest rate is $6\%?$

$1$