Question 3
Suppose you want to invest 2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:
How state variable is defined for this problem?
Year
Capital available for investment at the start of a year
Amounts invested in First Bank in a year
Amounts invested in First Bank and Second Bank in a year