On april $1$st $2024$ Eagle corp purchased $$80,000$ of bobcat inc's $6\%$ bonds at a purchase price of $96.$ At the time of purchase, the market rate of interedt was $8\%.$ Eagle corp,whose year end is december $31,$ expects to hold the bonds until their maturity date five years from the date of the purchase. Interest on the bonds will be paid every april $1$ and october $1$ until maturity. What is the carrying value $($amortized cost$)$ of the bond eagle corp would report on october $1,2024?$