Arnold is planning his retirement. The rate of interest that he can lend and borrow at the bank is 6 percent. He would like to retire 20 years from now. He currently has $125,000 in the bank. He intends to buy a car 3 years from now. He estimates it will cost $55,000 then. He would like to buy his mother a house 10 years from now. He estimates it will cost $230,000 then.He wants to have a fixed pension of $100,000 a year with the first payment being 21 years from now and the last being 40 years from now. What is the constant amount he needs to save each year assuming the first time he puts away money is 1 year from now and the last time is 20 years from now? What is the constant amount he needs to save if he saves monthly during the same period as before?