A $$2000,$ twenty$-$year $6\%$ bond was issued on August $15,2021.$ The bond pays semiannual coupons. It was sold on November $7,2023,$ to yield the purchaser $6\mathrm{.}5\%$ per year compounded semi$-$annually until maturity. At what price did the bond sell $($what is the quoted price$)?(6$ marks$)$

Hint: Compute the purchase price, accrued interest and the cash price first.