1. [6 points] Suppose you invested into a mutual fund account on January 1st, 2020. You earned 2% return in January and 5% return in February 2020. Then, the account balance at the end of February 2020 is $21,420. How much did you invest in the fund on January 1st, 2020? 2. [4 points] Your portfolio contains 60% of stock A and 40% of stock B. Assume that stock A earned a 5% return and stock B earned – 4% return this month. What is your total portfolio return this month? 3. Consider the following formula to calculate the monthly payment amount. M= ????1- 1(1+??)?? a) [4 points] In this equation, P represents the principle, i the (monthly) interest rate, and n the number of payment terms for a mortgage with a principle balance of 200,000, monthly interest rate of 0.3%, and the number of payment terms of 360. Calculate the monthly payment amount M. b) [6 points] Construct a vector M of length 3 with the results of this calculation for a series of principle balances: 150,000, 180,000, 220,000.