Question $5$

You are a Korean investor who invest in an index fund that gives exactly the same return as S&P $500$ in the US$.$ When you run the regression whose $x-$axis is the exchange rate $($won per dollar$)$ and the $y-$axis is the return of this mutual fund in US dollar, you find that the slope of this regression is $-0\mathrm{.}8$

$($i$)$ How much is the

$($ii$)$ How much is the

$($iii$)$ You invest $10$ million USD on this index fund. If US dollar depreciates against Korean Won by $1\%,$ how much do you expect to gain in Won currency?