Note 1: Unless otherwise indicated, all cash flows given in the problems represent after-tax cash flows in current dollars. Note 2: Unless otherwise noted, all interest rates presented in this problem set assume annual compounding.

6. Consider the case of Gizmo, a small manufacturing company whose management wants to reduce overhead by installing a new energy-efficient heating system. The new system costs $100,000. Faced with the company's low cash reserves, management determined that borrowing is the only way to finance this desirable improvement. A problem arises when Gizmo's accountant points out that a standard direct reduction loan will severely limit the company's cash flow during the season when the heating is needed. To overcome this difficulty, the accountant suggests a payment schedule in a linear periodic gradient series with the gradient G=$75 on an alternating payment loan. The accountant proposed the following settlement schedule: The lender quoted an APR of 12%. Determine the payment schedule over four years.

Duracin del prstamo: 4 aos \begin{tabular}{|l|c|} \hline \multicolumn{1}{|c|}{ Mes } & Pago \\ \hline enero-agosto & s \\ \hline septiembre-abril & no \\ \hline mayo-Septiembre & s \\ \hline octubre-marzo & no \\ abril-octubre & s \\ \hline noviembre-febrero & no \\ \hline marzo-diciembre & s \\ \hline \end{tabular}