This Monday is the 10th birthday of Chriss daughter. He would like to save money for her in a savings account for her university tuition fee and her first-year student living expenses when she will be undergrad student and wants to give this money to her as her 18th birthday gift. The tuition fee for the university in their city is $28000 per year. The expected living cost in that city is about $2100 per month. Chris is planning to give her daughter the tuition fee of all 4 years and the cost of living for the first year as her 18th birthday gift (the total required amount will be provided in cash to her as a gift at her 18th birthday party). He will start saving from her 10th birthday by depositing required amount at the end of each month in order to have enough money in her 18th birthday party for the gift. Chris has the following two options. Which one would be more profitable for him:

a. A saving account with 8% interest rate compounding quarterly

b. A saving account with 6% interest rate compounding monthly