On January $1,2022,$ Kirmer Corp. purchased $450,000$ of $6\%$ bonds, interest payable on January $1$ and July $1,$ for $428,800($a $7\%$ effective interest rate$).$ The bonds mature on January $1,2028($Assume bonds are non$-$trading.$).$ The bonds are sold on October $1,2022$ for $427,000$ plus accrued interest. Between Jan. $1,2022$ and Oct. $1,2022,2,288$ of discount has been amortized in total. How much gain $($or loss$)$ on sale of investments should be recognized?

a$.$Loss of $488$

b$.$Gain of $2,288$

c$.$Gain of $4,088$

d$.$Loss of $4,088$