$4$On January $1,2023,$his financial future. He had a goal: to have Rs S$000$ in four years, on January$1,2027$Case Studya young mannnamod Alex found hirmseif eontermplatingHis bank offered an $$\%$ interest ate. compounded annually, Intrigued byof each payment?the challenge, he decided to calculate his optionsa How much must Alex deposit odayJanuary $1,2027?$to have a balance of Rs$.5000$ onb. If Alex wants to make $4$ equal hayments cach from January I, $2023,$through January I, $2027,$ to accumulate $5000,$ what should be the valuec. If A Alex's friend offers to make the payments calculated in part $($b$)$ or togive him Rs$.3750$ on January $1,2024($ year from now$).$ which would hechoose and why?d$.$ It Alex has only Rs$,3750$ on January L$.2024,$ what interest rate,Compounded annually for $3$ years. must he carn to get Rs$.5000$ on January$1.20277$C$.$ If the banker reduces the interest rate to $6\%,$ how much should Alexdeposit to get Rs$.5000$ after $4$ years from now?