The debt is amortized by equal payments made at the end of each payment interval. Compute $($a$)$ the size of the periodic$$ payments; $($b$)$ the outstanding principal at the time$$ indicated; $($c$)$ the interest paid by the payment following the time$$ indicated; and$($d$)$ the principal repaid by the payment following the time indicated for finding the outstanding principal.

Debt Principal

Repayment Period

Payment Interval

Interest Rate

Conversion Period

Outstanding Principal$$ After:

$$$$15$ comma $000$

$10$ years

$3$ months

$5\%$

quarterly

$8$th payment