5 Hayao is an investor looking to set up a fund to supplement his income. This fund will make ten annual payments of $10,000, the first payment being 6 months from now. He has secured an account that will earn 6% p.a. compounding semi-annually. How much money does Hayao have to deposit into the account today so that the account will be depleted after the final payment? (HINT: The first payment is not 1 year from today)