Suppose you have an investment opportunity from BMO that generates the following expected year$-$end cash flows:

$1)$ $$120,000$ with $50\%$ chance

$2)$ $$300,000$ with $50\%$ chance

You are also aware of the risk$-$free investment in T$-$bills that pays $3\%$ per year.

If you require a $8\%$ annual risk premium, will you purchase the portfolio at the price of $$188,000$