Make sure answers are correct pls. & show formulas used

09. Your son is about to start kindergarten in a private school. Currently, the tuition is $12,000 per year, payable at the start of the school year (t=0). You expect annual tuition increases, on average, 6% per year over the next 13 years (1=1 to 1=13). Assuming that your son remains in this private school through high school and that your current interest rate is 6%, then what is the present value of your son's private school education? [4 marks] Q10. Assume that you are 30 years old today, and that you are planning on retirement at age 65. Your current annual salary is $45,000, and you expect your salary to remain constant for the entire work period. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. Assume that the rate of interest is 7%. [8 marks] a) What is the future value at retirement (age 65) of your savings? b) Assume that you are 30 years old today, and that you are planning on retiring at age 65. Your current annual salary is $45,000, and you expect your salary to increase at a rate of 5% per year as long as you work. To save for your retirement, you plan on making annual contributions to a retirement account. Your first contribution will be made on your 31st birthday and will be 8% of this year's salary. Likewise, you expect to deposit 8% of your salary each year until you reach age 65. At retirement, you will begin withdrawing equal annual payments to pay for your living expenses during retirement. The first withdraw is on your 66th birthday if you expect to die one day after your 100th birthday (Your last withdraw will be on your 100th birthday) and if the annual rate of return is 7%, then how much money will you have to spend in each of your golden years of retirement