6. Bilbo plans to retire in 25 years (t=25) from today and to save $4,000 per month until his retirement with the first saving starting from today (t=0). He expects to have $2,000 monthly expense starting from the first month after year 25 (t=25) through year 50 (t=50). He also wants to leave an amount of inheritance to his son Frodo at year 50 (t=50). The discount rate for Bilbos entire life is 6% (APR). Suppose Bilbo strictly follows his financial plan,

a) how much savings would Bilbo have in year 25 (t=25)? [10 marks]

b) how much at most would Bilbos inheritance be in year 50 (t=50)? [15 marks]

6. Bilbo plans to retire in 25 years (t-25) from today and to save $4,000 per month until his retirement with the first saving starting from today (t0). He expects to have $2,000 monthly expense starting from the first month after year 25 (t 25) through year 50 (t-50). He also wants to leave an amount of inheritance to his son Frodo at year 50 (t-50). The discount rate for Bilbo's entire life is 6% (APR). Suppose Bilbo strictly follows his financial plan a) how much savings would Bilbo have in year 25 (t-25)? 10 marks] b) how much at most would Bilbo's inheritance be in year 50 (t-50)? [15 marks