Consider the following two savings plan that you think about starting at the age of 21 : Option1: Save $400 per month for 10 years. At the end of 10 years, make no further investments, but invest the amount accumulated at the end of 10 years until you reach the age of 65 . Assume that the first deposit will be made when you are 22 . Option2: Do nothing for the first 10 years. Start saving $400 per month thereafter until you reach the age of 65 . Assume that the first deposit will be made when you turn 32 . If you were able to invest your money at 8% compounding quarterly over the planning horizon, which plan would result in more money saved by the time you are 65? Support your solution with comprehensive cash flow diagram. A) Show your complete factor equations to solve this problem for two different compounding as stated above. Show the exact value of effective interest rate that you will be using to solve the factor notation. For example, your factor notation shall look something like this 10,000(F/P,1.45%,8) Consider the following two savings plan that you think about starting at the age of 21 : Option1: Save $400 per month for 10 years. At the end of 10 years, make no further investments, but invest the amount accumulated at the end of 10 years until you reach the age of 65 . Assume that the first deposit will be made when you are 22 . Option2: Do nothing for the first 10 years. Start saving $400 per month thereafter until you reach the age of 65 . Assume that the first deposit will be made when you turn 32 . If you were able to invest your money at 8% compounding quarterly over the planning horizon, which plan would result in more money saved by the time you are 65? Support your solution with comprehensive cash flow diagram. A) Show your complete factor equations to solve this problem for two different compounding as stated above. Show the exact value of effective interest rate that you will be using to solve the factor notation. For example, your factor notation shall look something like this 10,000(F/P,1.45%,8)