Mrs Thuy needs advice for her retirement plan. She is 35 years old and plans to retire at 55. She has good health, so her life expectancy is 80 years old. Her current annual basic living expenses are 100 mil VND. She desires to buy a brand new car with a value of 5 bil VND 5 years after retirement. She also intends to contribute 300 mil VND annually to a charity fund to help homeless children. Such a contribution is expected from 55 to 65. Additionally, she wishes to travel to a particular European country each year from 60 to 65. The current average cost of a tour to a European country is 70 mil VND. Regarding Mrs Thuys extent of risk tolerance and personal circumstance, a consultant advises that she should equally invest in stocks and bonds with the expected rate of returns of 20% and 10%, respectively, for the pre-retirement period. After her retirement, she is advised to only deposit money in the bank with the expected rate of return of 5%. The inflation rate is 3%. Assume that Mrs Thuys current basic living standards remain even when she retires. She also wants to maintain the tour quality when travelling to European countries. The investments expected return rates mentioned previously have already been adjusted for the inflation rate. Question 1. Calculate the present value of the after-retirement basic living expenses at the retirement age (15 points) Question 2. Calculate the present value of the car purchasing expense at the retirement age (10 points) Question 3. Calculate the present value of the charity contribution at the retirement age (10 points) Question 4. Calculate the present value of the travelling expense at the retirement age (15 points) Question 5. Calculate the weighted average rate of return in the pre-retirement period (15 points) Question 6. Calculate the required annual savings from 35 to 55 to cover the expected expenses after retirement sufficiently (25 points) Question 7. If her average annual net income in the pre-retirement period is 90 mil VND, is it sufficient to meet the required annual savings calculated in Question 6? If not, please propose three alternative solutions to help Mrs Thuy meet such required annual savings (10 points)