Suppose Raj is investing in gold, a commodity with an average yearly rate of return of $8\mathrm{.}65\%.$ He has decided that in order to structure his investments, he will purchase $$2,000$ of gold every six months. After $30$ years, Raj decides that he wants to liquidate his gold holdings in order start his retirement account. Accordingly, he sells all of his gold to purchase bonds with a yield of $3\%$ compounded semiannually. If gold is subject to a $28\%$ capital gains tax, how much money will he have accumulated after $10$ years?