$(8$ points$)$ Suppose that Boeing Corporation exported a Boeing $747$ to Lufthansa and billed $10$ million payable in one year. This money market interest rates and foreign exchange rates are givin as follows:

The U$.$S$.$ one$-$year interest rate:

$6\mathrm{.}10\%$ per annum

The euro zone one$-$year interest rate:

$9\mathrm{.}00\%$ per annum

The spot exchange rate:

$$\frac{1\mathrm{.}50}{}$

The one$-$year forward exchange rate:

$$\frac{1\mathrm{.}46}{}$

a$.$ If Boeing Corporation uses the forward market hedge to hedge against the transaction exposure, what should it do$?$ What is the income received by the Boeing Corporation in $ in one year regardless of the spot exchange rate in one year?

b$.$ If Boeing Corporation uses the money market hedge to hedge against the transaction exposure, what should it do$?$ What is the income received by the Boeing Corporation in $ in one year regardless of the spot exchange rate in one year?

c$.$ If Boeing Corporation uses the option market hedge to hedge against the transaction exposure, what should it do$?$ What is the income received by the Boeing Corporation in $ in one year when the spot exchange rate is $$\frac{1\mathrm{.}48}{}?($In the OTC option market, there are two options available: call option with strike price of $$\frac{1\mathrm{.}46}{}$ and call premium of $$0\mathrm{.}02$ per euro; put option with strike price of $$\frac{1\mathrm{.}46}{}$ and put premium of $$0\mathrm{.}015$ per euro$).$

d$.$ At what spot exchange rate in one year, the option market hedge is better than the money market hedge?

e$.$ At what spot exchange rate in one year, the option market hedge is better than the forward market hedge?