Assume a swap that allows an investor to receive $5\%$ in yen and pay $7\%$ in dollars, annually, for a period of $2$ years. The principals underlying this swap are $10,000$ dollars and $1,200,000$ yen. The current exchange rate is $105$ yen per dollar. All Japanese swaps rates are $3\%,$ while all US swap rates are $8\%.$ What is the value of the swap in USD? Solve the question using the bond valuation method. Use continuous compounding.