You are looking to invest your savings and want to earn a $10\%$ per annum return, compounded

annually. You can choose from the following projects: $($i$)$ Project A$-$ you will receive $$100$ at the end

of two years from now, $($ii$)$ Project B$-$ you will receive $$50$ at the end of year one and another $$50$ at

the end of year two, and $($iii$)$ Project C$-$ you will receive $$80$ at the end of year one and $$20$ at the

end of year two. What is the present value of each project for you today? What happens to the

present value of each project as your expected interest rate increases? $($Hint: the present value of

multiple cash flows from a project is the sum of the present value of each individual component$)$