Sovereign Debt Negotiations. A sovereign borrower is considering a $$100$ million loan for a $4-$year maturity. It will be an amortizing loan, meaning that the interest and principal payments will total, annually, to a constant amount over the maturity of the loan. There is$,$ however, a debate over the appropriate interest rate. The borrower believes the appropriate rate for its current credit standing in the market today is $10\%,$ but a number of international banks with which it is negotiating are arguing that is most likely $13\%,$ at the minimum $10\%.$ What impact do these different interest rates have on the prospective annual payments?

The annual payment, if the interest rate was $10\%,$ is $ $($Round to the nearest dollar.$)$