?$($NO EXCEL$)5-$ ?On March $27,2014,$ ?Miguel Cabrera became one of the richest players in the National Baseball League by agreeing to extend his $8-$year contract with the Detroit Tigers for $$248$ ?million. Cabrera's extension averages $$31$ ?million per season for eight seasons, making his the biggest contract ever paid to a baseball player. When added to the two years remaining on his current contract for $$22$ ?million per season, that is a grand total of $$292$ ?million. The annual payment schedule look like the following table:

$\backslash$table$[[$End of Season,Current Contract,Extended Contract,Net Amount$],[2013,,,],[2014,$$$22,000,000,,$$$22,000,000],[2015,$$$22,000,000,,$$$22,000,000],[2016,,$$$31,000,000,$$$31,000,000],[2017,,$$$31,000,000,$$$31,000,000],[2018,,$$$31,000,000,$$$31,000,000],[2019,,$$$31,000,000,$$$31,000,000],[2020,,$$$31,000,000,$$$31,000,000],[2021,,$$$31,000,000,000,$$$31,000,000],[2022,,$$$31,000,000,$$$31,000,000],[2023,,$$$248,000,000,$$$31,000,000],[$Total$,,,$$$292,000,000]]$

How much is Cabrera's contract actual$?$v wortn at the t$?$me or s$?$gn$?$ng$?$ ?Assume that Cabrera's interest rate is $6\%$ ?per year and payments are made at the end of eacn season. Here we assume that the signing was taken place at the end of $2013$ ?season or the beginning of $2014$ ?season $(20$pts$).$