Judith would like to receive $$50,000$ each year for the next $5$ years $($first payment at the

end of year $1).$ Then she hopes to receive $$75,000$ per year $($starting at the end of year $6)$

for an additional $5$ years. In total $10$ payments. Assume an interest rate of $5\%.$

i$.$ Find the present value of this cash flow stream.

$(5$ marks$)$

ii$.$ Find the future value of this cash flow stream.

$(5$ marks$)$