What is the present value of the following cash flow stream at an interest rate of $12\%$ per year: $0$ at Time $0$;$$1,500$ at the end of Year $1,$$$3000$ at the end of Year $2$; $$4,500$ at the end of Year $3$ and $$3,500$ at the end of Year $4$ and $5?$

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Assume that you own an annuity that will pay you $$14,000$ per year for $12$ years, with the first payment being made today. Your uncle offers to give you $$120,000$ for the annuity. If you sell it$,$ what rate of return would your uncle earn on his investment?

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$6..$ You plan to borrow $$75,000$ at $6\%$ annual interest rate. The terms require you to amortize the loan with $10$ equal end$-$of year payments. How much interest would you be paying in Year $2?$

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