Future Shop has a plan where you don't begin payments for $11$ months. You then begin payments of $$342$ at the beginning of every month for $19$ months. Assume the interest rate is $6\%$ compounded quarterly over the whole time interval $($even when you don't have any payments$).$ What was the value of the home theatre set at the time of purchase?

Calculate the following values on the time diagram.

$PV1=$$

The value of the home theatre set at the time of purchase was $