please show with steps and formulas used. thank you.

It is April 18, 2021. The cheapest-to-deliver bond in a June 2021 Treasury bond futures contract is a 8% coupon bond, and delivery is expected to be made on June 30, 2021. Coupon payments on the bond are made on May 22 and Nov 22 each year. The interest rate for all maturities is 7% per annum (continuous compounding). The current quoted bond price is $105 and the conversion factor for the bond is 1.5. 1) What is cash price of the bond? 2) What is the cash futures price? 3) What is the quoted futures price