$1.$ A cattle farmer wants to save money for his daughter$$s college tuition. He decides to deposit P$50,000$ at the end of every year for the next four years that his daughter attends college.$$ He has $8$ years until his daughter starts college. If the bank pays $7\%$ interest rate compounded quarterly,

$$ i$.$ what amount would the farmer give to her daughter?$(10$ marks$)$

$$ ii$.$ what monthly amount would the daughter withdraw if she is on a five$-$year study programme? $(10$ marks$)$