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

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Part $1$

$($a$)$ The size of the periodic payment is $$$

$$

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$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$