Question Three $(7$ Marks$)$

Assume that ABC company expects to receive $$$800,000$ in one year. The existing spot rate of the Singapore dollar is $5\mathrm{.}62.$ The one$-$year forward rate of the Singapore dollar is $5\mathrm{.}64.$ ABC created a probability distribution for the future spot rate in one year as follows:

$\backslash$table$[[$Future Spot Rate$],[\mathrm{.}62],[\mathrm{.}65],[\mathrm{.}67]]$

$\backslash$table$[[$Probability$],[30\%$