Suppose a speculative hedge fund anticipating higher rates in several years purchased a two-year payer swaption on a three-year 6\%/LIBOR generic swap with semiannual payments and a notional principal of \(\$ 20\) million for a price equal to 50 basis points times the NP. Show graphically and in a table the values and profits/losses at expiration that the fund would obtain from closing its payer swaption. Evaluate at fixed rates on three-year par value swap at expiration of \(4 \%,4.5 \%, 5 \%,5.5 \%, 6 \%\), \(6.5 \%, 7 \%,7.5 \%\), and \(8 \%\).