What is the value at the end of year $3$ of a perpetual stream of $$100,000$ semiannual payments that begins at the end of year $9?$ The APR is $12\%$ compounded quarterly. For your answer round to the nearest dollar, do not enter the dollar $($$$)$ sign, and DO NOT use commas for the thousands. For example, if you obtained $$1,240\mathrm{.}75$ then enter $1241($some problems might let you use commas though$).$