Question $1($a$)$

Perth International Co$.,$ an Australian multinational company, forecasts $61$ million Australian dollars $($A$$)$ earnings next year $($i$.$e$.,$ year$-$one$).$ It expects $57$ million Chinese yuan $($CNY$),44$ million Indian rupees $($INR$)$ and $35$ million Malaysian ringgit $($MYR$)$ proceeds of its three subsidiaries in year$-$one. It also forecasts the year$-$one exchange rates A$$0\mathrm{.}2827/$CNY$,$ A$$0\mathrm{.}0444/$INR and A$$0\mathrm{.}5795/$MYR$.$

Calculate the total Australian dollar $($A$$)$ cash flow for year$-$one.

Question $1($b$)$

Perth International has closed its business in Australia after year$-$one and anticipates a $4\mathrm{.}46$ per cent increase in the year$-$one income of its subsidiaries in year$-$two. It has information that the current $4\mathrm{.}99$ per cent, $8\mathrm{.}58$ per cent, $13\mathrm{.}78$ per cent and $10\mathrm{.}08$ per cent nominal interest rate in Australia, China, India and Malaysia, respectively, will remain the same in the next three years. Due to foreign currency higher nominal interest rate, subsidiaries will invest $29$ per cent, $54$ per cent and $41$ per cent of their year$-$two earnings in China, India and Malaysia, respectively, for next year. Subsidiaries will remit their remaining incomes $($i$.$e$.,$ after investment$)$ to the Australian parent. Perth International believes in the International Fisher Effects with considering a $2\mathrm{.}72$ per cent real interest in Australia, China, India and Malaysia to calculate the expected foreign currency value against the Australian dollar for year$-$two based on the year$-$one exchange rates A$$/$CNY$,$ A$$/$INR$,$ and A$$/$MYR$.$

What is the total Australian dollar $($A$$)$ cash flow for year$-$two?

Question $1($c$)$

In year$-$three, Perth International has a plan to expand the business in China, India and Malaysia. Consequently, it forecasts an $8\mathrm{.}56$ per cent increase in year$-$one earnings of its subsidiaries in year$-$three. Perth International anticipates $3\mathrm{.}63$ per cent, $7\mathrm{.}27$ per cent, $11\mathrm{.}83$ per cent and $9\mathrm{.}82$ per cent inflation in Australia, China, Indian and Malaysia, respectively, in year$-$three. It considers the Purchasing power parity to calculate the value of CNY$,$ INR and MYR against the Australian dollar in year$-$three using the year$-$two exchange rates A$$/$CNY$,$ A$$/$INR$,$ and A$$/$MYR$.$

What is the total Australian dollar $($A$$)$ cash flow for year$-$three?

Question $1($d$)$

The subsidiaries of Perth International remit their earnings and investment proceeds to the Australian parent at the end of each year. The annual weighted average cost of capital or required rate of return of Perth International is $7\mathrm{.}24$ per cent.

Calculate the current value of the Perth International Co$.$ using its expected cash flows in year$-$one, year$-$two and year$-$three.