You have $$100,000$ to invest in a portfolio containing Stock X$,$ Stock Y$,$ and a risk$-$free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of $13$ percent and that has only $70$ percent of the risk of the overall market. If X has an expected return of $31$ percent and a beta of $1\mathrm{.}8,$ Y has an expected return of $20$ percent and a beta of $1\mathrm{.}3,$ and the risk$-$free rate is $7$ percent, how much money will you invest in Stock Y$?$

Note: Do not round intermediate calculations. Round your answer to the nearest whole dollar.