$3.)$ The Fiore's are now interested in purchasing their first home. They've put $30\%$ down on a $$379,000$ home, and the loan is to be amortized over $30$ years at $4\mathrm{.}3\%$ a$.)$ What is their monthly payment? b$)$ The lender is required to give The Fiore's an amortization table Complete the following tables regarding their loan. Month Present Payment Interest Monthly Value On Payment Payment Principle $0123$ Totals c$.)$ Shocked by the numbers in the amortization table, John decides to calculate the total amount of interest over the life of the loan. How much interest will they pay in $30$ years? d$.)$ After $5$ years, The Fiore's decide to refinance their home at $3\mathrm{.}35\%$ for $20$ years. Find the new monthly payment e$.)$ Find the amount of interest saved by refinancing $.)$ For tax purposes John needs to know the amount of interest paid during the third year of the new loan. How much interest did he pay during the third year? $4.)$ John and Mary want to start saving for retirement. a$.)$ They invest S$1565$ each quarter in a mutual fund that pays $12\%$ compounded quarterly. How much will they have after $25$ years? b$.)$ In retirement, they want to take equal monthly withdrawals for $20$ years reducing the balance to zero. What is the size of each withdrawal? c$.)$ How much interest will they earn over the entire $45$ year process? $5.)$ The Fiore's wish to create a sinking fund to save for their children's education. a$.)$ They estimate that they will need to save about $$150,000$ in $18$ years. If the account returns $75\%,$ how much are the monthly installments? b$.)$ How much will The Fiore's deposit in the account? c$.)$ Once in college, what are the monthly installments of the $$150,000$ pay out in $4$ years? d$.)$ What is the total amount the twins will receive from the $$150,000$ pay out during the $4$ years they're in college After graduating from college and receiving well$-$paying jobs in their field. Alayna wants to begin saving for retirement, but Dennis decides to wait a while before saving $6.)$ Alayna starts investing S$400$ a month at age $25$ and invests for $10$ years at $6\%$ compounded monthly. Alayna stops investing at age $35,$ and does not contribute any money for the next $30$ years Dennis starts investing at age $35,$ S$400$ a month at $6\%$ for $30$ years. Now at age $65$: a$.$ How much money has Alayna deposited? b$.$ How much money has Dennis deposited? c$.$ Who has saved the most money? $(12-$points$)$ Be sure to give the totals for both twins.