On January $1,2023,$ Cheyenne Corporation, which follows IFRS, issued a series of $502$ convertible bonds, maturing in five years. The face amount of each bond was $$1,000.$ Cheyenne received

$$531,200$ for the bond issue. The bonds paid interest every December $31$ at $5\%$; the market interest rate for bonds with a comparable level of risk was $6\%.$ The bonds were convertible to common

shares at a rate of ten common shares per bond. Cheyenne amortized bond premiums and discounts using the effective interest method, and the company's year$-$end was December $31.$

On January $1,2024,100$ of the bonds were converted into common shares. On June $30,2024,$ another $100$ bonds were converted into common shares. The bondholders chose to forfeit the accrued

interest on these bonds.

On January $1,2025,$ when the fair value of the bonds was $$296,200$ due to a decrease in market interest rates, a conversion inducement of $$\frac{20}{?}$ bond was offered to the remaining bondholders to

convert their bonds to common shares. All of the remaining $302$ bonds were converted into common shares at that time.

a$.$ Prepare the journal entry at January $1,2023.$

b$.$ Prepare the journal entry at December $31,2023.$

c$.$ Prepare the journal entry at January $1,2024.$

d$.$ Prepare the journal entry at June $30,2024.$

e$.$ Prepare the journal entry at December $31,2024.$

f$.$ Prepare the journal entry at January $1,2025.$