William plans to save $$3,400$ every year for the next $11$ years, starting today. At the end of $11$ years, William will turn $40$ years old and plans to use his savings towards the down payment on an apartment. If his investment in Qshares ASX$200$ ETF earns him $11$ percent annually, how much will he save in $11$ years when he will need the money to buy an apartment?