A 30-year old person wants to buy a lakehouse in Maine for family vacations in 20 years. a) Lakehouses currently cost around $400,000. If real estate values in Maine appreciate by 2.5% per year, calculate what this person should expect to pay for a lukehouse in 20 years b) If this person starts with so, how much would he/she have to save each month to reach the goal if he/she can expect to earn .3% per month on investments. c) After this person sees the answer to b), he/she freaks out and wants to know how much the answer changes if the expected rate of return is a more aggressive monthly. d) Still not happy with the answer. he/ybe considers asking grandma for an advance on his/her inheritance to get the ball rolling How much would grandma have to give this person, now, to be able to only save Soco per month if the investments earn 0.6% per month e) Let's fume grandma actually agrees to the advance in the mount cabeutated in (6), and it la invested. And that this person begins the savingsinvesting plan of sc00 per month. And the investments earn the 0% per month What would this person's capital gain by after 20 yearst If the cpital gains tax rate in 20 years is 20%, how much would he'she have to surrender in taxes! 2) What problem does this person face? h) How ich would the investment portfolio have to be worth to be able to both pay the taxes and have enough left over to buy the lakehouse