Question 1 (a) Your grandmother put some money in an account for you on the day you were bm You are now 20 years old and are allowed to withdraw the money for the name The account currently has $10,000 in it. How much money did your grandmother originally put in the account? If you let the money in the account, w much money would be in the account when you tum 65 years old Use the nominal rate of interes is equal to 6% per year, monthly compounded, in all calculation (b) You and your identical twin just started to work and are planning for retirement Your identical twin plans to save $2,000 every quarter for the next 15 years saving made a quarter from today), then stop, and leave the money in the saving account until retirement. You want to enjoy life first, so you will start to save after your identical twin stops (1 saving made in Quarter of Year 16). Concerning the late saving, you will deposit 54,000 in each quarter. If both of you plan to work for 40 years before retirement and the saving account cam interest of the effective rate of 8.75% year, how much money each of you will have in the saving accounts at the retirement ( marks) (c) Refer to Part (b), what is the effective rate of interest that leads to the same amount of money in both saving accounts at the beginning of the retirement? (6 mark) (TOTAL: 20 marks) Question 2 Given the following information: Year Project A -1.000 Project 1.000 4,600 7,910 -6,026 1.716 Project B -1.000 450 350 300 200 100 50 100 200 1,500 (a) Suppose Project A and B are mutually inclusive. If the appropriate discount or hurdle rate is equal to 10%, which project would you choose and why? Does there exista hurdle rate that may make you reverse your decision? If yes, what is the value of that rate? (10 marks)