Question
Hello, I was given these four questions, all of which are linked. I would like to check if my answers are right or am I
Hello, I was given these four questions, all of which are linked.
I would like to check if my answers are right or am I completely off the mark. My answers are in bold and underlined
Thank you.
Question 1
Perth InternationalCo., an Australian multinational company, forecasts 61 million Australian dollars (A$) earnings next year (i.e., year-one).It expects 58 million Chinese yuan (CNY), 49 million Indian rupees (INR) and 32 million Malaysian ringgit (MYR) proceeds of its three subsidiaries in year-one. It also forecasts the year-one exchange rates A$0.2349/CNY, A$0.0468/INR and A$0.5409/MYR.
Calculate the total Australian dollar (A$) cash flow for year-one. (enter the whole number with no sign or symbol)
Local Business: 61 million AUD
Foreign Business:
Exchange RateAUD Amount
58 mil CNYA$0.2349/CNY58 mil * 0.2349 = 13624200
49 mil INRA$0.0468/INR49 mil * 0.0468 = 2293200
32 mil MYRA$0.5409/MYR32 mil * 0.5409 = 17308800
Total cash flow = 61,000,000 + 13,624,200 + 2,293,200 + 17308800 = A$94226200
Question 2
Perth International anticipates a 5.86 per cent increase in the year-one income of its subsidiaries in year-two. It has information that the current 6.00 per cent, 7.36 per cent, 13.16 per cent and 10.12 per cent nominal interest rate in Australia, China, India and Malaysia, respectively, will remain the same in the next three years. Due to foreign currency higher nominal interest rate, subsidiaries will invest 29 per cent, 56 per cent and 37 per cent of their year-two earnings in China, India and Malaysia, respectively, for next year. Subsidiaries will remit their remaining incomes (i.e., after investment) to the Australian parent.Perth International believes in the Purchasing Power parity with considering a 2.69 per cent real interest in Australia, China, India and Malaysia to calculate the expected foreign currency value against the Australian dollar for year-two based on the year-one exchange rates A$/CNY, A$/INR, and A$/MYR.
What is the total Australian dollar (A$) cash flow for year-two? (enter the whole number with no sign or symbol)
Calculate Yr-2 exchange rates:
Expected inflation rate = Nominal interest rates - Real Interest Rates
Australia (Home): 6% - 2.69% = 3.31%
China (Foreign): 4.36% - 2.69% = 1.67%
India (Foreign): 13.16% - 2.69% = 10.47%
Malaysia (Foreign): 10.12% - 2.69% = 7.43%
Exchange Rates for Yr 2:
Australia, China :
A$0.2349/CNY (Yr-1)
(A$0.2349 x (1 + 0.0331)) / (CNY 1 x (1 + 0.0167)) = 0.238689 A$/CNY (Yr-2)
Australia, India:
A$0.0468/INR
(A$0.0468 x (1 + 0.0331)) / (INR 1 x (1 + 0.1047)) = 0.043767 A$/INR (Yr-2)
Australia, Malaysia:
A$0.5409/MYR
(A$0.5409 x (1 + 0.0331)) / (MYR 1 x (1 + 0.0743)) = 0.520156 A$/MYR (Yr-2)
Anticipates 5.86% increase in Year-1 in come of subsidiaries in Year-2
Subsidiaries earnings and investment amounts for Year 3
China:
58,000,000 x (100% + 5.86%) =61,398,800.00 CNY
Amount Invested for Year-3:
61,398,800.00 x 29% = 17,805,652.00 CNY
Amount Remitted to Parent Company:
61,398,800.00 - 17,805,652.00 = 43,593,148.00 CNY
Apply Exchange Rate
43,593,148.00 CNY x 0.238689 = 10405204.90 AUD
India:
$49,000,000 x (100% + 5.86%) = 51,871,400.00 INR
Amount invested for Year-3:
51,871,400.00 x 56% = 29,047,984.00 INR
Amount Remitted to Parent Company:
51,871,400.00 - 29,047,984.00 = 22,823,416.00 INR
Apply Exchange Rate
22823416 x 0.043767 = 998,912.45 AUD
Malaysia:
$32,000,000 x (100% + 5.86%) = 33,875,200.00 MYR
Amount Invested forYear-3:
$33,875,200.00 x 37% = 12,533,824.00 MYR
Amount Remitted to Parent Company:
33,875,200.00 - 12,533,824.00 = 21,341,376.00 MYR
Apply Exchange Rate
21,341,376.00 x 0.520156 = 11,100,844.77 AUD
Total Cashflow (Assume that local biz is still 61,000,000):
61,000,000 + 10405204.90 + 998,912.45 + 11,100,844.77 = A$83504962
Question 3
In year-three, Perth International has a plan to expand the business in China, India and Malaysia.Consequently, it forecasts an 8.73 per cent increase in year-one earnings of its subsidiaries in year-three. Perth International anticipates 3.74 per cent, 7.25 per cent, 11.27 per cent and 9.11 per cent inflation in Australia, China, Indian and Malaysia, respectively, in year-three. It considers the Purchasing power parity to calculate the value of CNY, INR and MYR against the Australian dollar in year-three using the year-two exchange rates A$/CNY, A$/INR, and A$/MYR.
Note that investment of subsidiaries in year-two will be matured in this year and include these investment proceeds to the year-three cash flow. It means each subsidiary's year-three cashflow is year-three earnings and year-two investment proceeds.
What is the total Australian dollar (A$) cash flow for year-three? (enter the whole number with no sign or symbol)
Anticipated 8.73% increment in year-one earnings of subsidiaries in year-three
China: 58,000,000 x (1 + 8.73%) = 63,063,400 CNY
India: 49,900,000 x (1 + 8.73%) = 53,277,700.00 INR
Malaysia: 32,000,000 x (1 + 8.73%) = 34,793,600.00 MYR
Anticipated inflation in Year-3:
Australia3.74%
China7.25%
India11.27%
Malaysia9.11%
Consider PPP to calculate value of CNY, INR and MYR against AUD in year-3 using year-2 exchange rates A$/CNY, A$/INR and A$/MYR
Year-2 Exchange Rates:New Exchange Rates
0.238689 AUD/CNY(0.238689 x (1+0.0374)) / (1 x (1+0.0725)) = 0.230877 AUD/CNY
0.043767 AUD/INR(0.043767 x (1+0.0374)) / (1 x (1+0.1127)) = 0.040805 AUD/INR
0.520156 AUD/MYR(0.520156 x (1+0.0374)) / (1 x (1+0.0911)) = 0.494556 AUD/MYR
Amount Earned in Year-3 by Subsidiaries converted to AUD
CNY to AUD: 63,063,400 x 0.230877 = 14559889 AUD
INR to AUD: 53,277,700 x 0.040805 = 2173997 AUD
MYR to AUD: 34,793,600 x 0.494556 = 17207383 AUD
Each subsidiary's year-3 cashflow is year-3 earnings + yr-2 investment proceeds
Year-3 cashflows:
61,000,000 + 14,559,889 + 2,173,997 + 17,207,383 = 94,941,269
Year-2 investment proceeds:
17,805,652 + 29,047,984 + 12,533,824 = 59,387,460
Total:
94,941,269 + 59,387,460 = A$154,328,729
Question 4
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 7.72 per cent.
Calculate the current value of the Perth International Co. using its expected cash flows in year-one, year-two and year-three. (enter the whole number with no sign or symbol).
Local Business: A$61,000,000 x (1 / 1.0772) = A$56,628,296
Year-1
China: $13,624,200 x (1 / 1.0772) = A$12,647,791
Malaysia: $2,293,200 x (1 / 1.0772) = A$2,128,853
India: $17,308,800 x (1 / 1.0772) = A$16,068,325
Year-2
China: $10,405,208x (1 / 1.0772^2) = A$8,967,226
India: $998,906 x (1 / 1.0772^2) = A$860,859
Malaysia: $11,100,849 x (1 / 1.0772^2) = A$9,566,730
Year-3
China: $14,559,916 x (1 / 1.0772^3) = A$11,648,496
India: $2,173,990 x (1/ 1.0772^3) =$1,739,276
Malaysia: $17,207,383 x (1/ 1.0772^3) =$13,766,571
Total:
$56,628,296 + $12,647,791 + $2,128,853 + $16,068,325 + $8,967,226 + $860,859 + $9,566,730 + $11,648,496 + $1,739,276 + $13,766,571= $134,022,421
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