Start saving for retirement immediately! Even a modest amount will add up in a hurry. Jay decides to follow this advice and puts away 1% of his annual salary of $50,000 per year. This equates to $500 on his 21st birthday, and his salary will increase by 2% (on average) every year thereafter until Jay turns 60 years old. What is the worth of Jay’s account at age 60 when the annual interest rate on Jay’s account is 4% per year?

2. (a) A college student, Amy, decides to fund a retirement account with $2000 per year for 8 years, with the first deposit made one year from today. The rate of return will be 10%. How much will she have in her account when she retires in 40 years? (b) Amy’s friend, Dacio, decides he will start funding his retirement account 8 years from now (first payment in 9 years). He then will invest $2000 each year for 32 years. If his rate of return is 10%, how much will he have when he retires in 40 years?

John, a 25-year-old teacher, wants to start saving for his retirement. John wants a comfortableretirement, so he needs to have one million dollars in his saving account, which pays 2.4% annualinterest rate, when he reaches 67 years of age.a. How much should John deposit into his saving account monthly now? Round your answer to thenearest cent.b. If John wants the one million dollars in his saving account to last him 20 years into hisretirement, how much could he withdraw from the saving account monthly? You can assume thesaving account will pay the same 2.4% annual interest rate. Round your answer to the nearestcent.c. If John increases his monthly deposit in part (a) by $200, how much will be in his saving accountif he wants to retire at 60 years of age? Round your answer to the nearest cent.

Adele is planning for retirement. She would like to have $75,000 in her hand at the beginning of her first year of retirement at age 65 to live on for the year. She estimates that the amount will have to grow by 6% every year to keep up with inflation. What APR (nominal rate per year) should her retirement account earn if it is compounded continuously? She plans to deposit $21,000 on her 40th birthday and plans to keep increasing the deposits by 6% every year and till her 64th birthday. She estimates her life expectancy to be 85, meaning she would like to have the last retirement payment on her 85th birthday.