On January $1,2024,$ Ivy Bakery issued a $$25,000,6\%,4-$year installment note payable to purchase a delivery van. Payments of $$587\mathrm{.}13$ are due at the end of each month for $48$ months. How much will be recorded for interest expense for the first payment on January $31,2024?$

Multiple Choice

$$1,500\mathrm{.}00$

$$125\mathrm{.}00$

$$462\mathrm{.}13$

$$587\mathrm{.}13$