Consider a $6\%-$annual coupon bond, with a $30-$year time$-$to$-$maturity and a face value of $$1,000$

that you buy right now. At the time of the purchase the YTM is $10\%.$ Your plan is to sell the bond

immediately before you receive the $28$

th coupon payment. The YTM is expected to remain

constant.

What is the minimum selling price for the bond at the time of the sale? $[$Question $1]$

What is the maximum purchasing price for the bond if someone wants to buy it immediately after

the $28$th coupon was paid out? $[$Question $2]$

What is the duration at the time of this purchase? $[$Question $3]$