You are considering purchasing a house 5 years from now. The house is currently valued at $800 000 and is expected to have a capital growth of 2% per annum over the next 5 years. Suppose that you can earn 7% per annum compounded annually on your investments.(a) Determine the expected value of the house in 5 years from now.(b) How much would you have to invest each year as an ordinary annuity to have enoughmoney to purchase the house in 5 years from now?(c) Instead of making annual investments you decide to make a single investment today.How much would you have to invest as a lumpsum today to have enough money to purchase the house in 5 years from now?