Imagine a thirty$-$year bond that was originally sold $7$ years ago when the interest rate was $6\%.$ It includes a payment of $$600$ for each of the next $23$ years and a $$10,000$ payment at the end of those $23$ years. If the current prevailing interest rate on alternative investments is $5\%,$ what is the value of this bond today? If the coupons were stripped and two instruments were created $($the coupons and the final payment, zero$-$coupon bond$),$ what is the value of the coupons? the zero coupon portion? Show your work.