Your parents have come to you for financial advice because you have told them about this incredible finance course you are taking, and they are paying for. Your parents have been offered an investment that will pay $$100$ per year forever and the first cash flow will occur $11$ years from today. If interest rates are expected to be $6\mathrm{.}125\%$ forever;

a$.$ What is this investment worth today? HINT: be sure to include a timeline in your explanation to your parents. Show your work and explain your answer. $(4$ marks$)$

b$.$ Your parents have been offered another investment that will pay $$90$ per year forever and the first cash flow will occur $11$ years from today; however, the cash flow amounts are expected to grow at $1\%$ forever. If interest rates are expected to be $6\mathrm{.}125\%$ forever, what is this investment worth today and which investment should they take? HINT: be sure to include a timeline in your explanation to your parents. Show your work, timeline and explain your answer. $(4$ marks$)$