Linda John has built a special software and would like to sell all the rights to an automotive company. The company gave him two options, take $$200,000$ now or receive a royalty of $$25,000$ a year for the next $15$ years, the first payment being made now, and subsequent payments being made on the $1$st day of each year.

Which option should Robert accept considering an $10\%$ discount rate?

$[$Answer with detailed calculations$]$