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A company has affiliates in seven countries. Each affiliate enters into transact

ID: 1165745 • Letter: A

Question

A company has affiliates in seven countries. Each affiliate enters into transactions with the other affiliates in the course of business. The company has determined that on average a remittance from one affiliate to another costs $30. (This cost includes bank fees for international funds transfer, costs in each affiliate to process the payment/receipt, and average cost to exchange currency.) Except for this cost, the information for each question is specific to that question.

The following table indicates the aggregate quarterly invoices (in US$) between each affiliated company for a recent quarter.

Payee (thousands)

Payor (thousands)

Australia

Belgium

Germany

Japan

Singapore

UK

US

Australia

211

9

217

282

144

197

Belgium

139

228

99

170

298

272

Germany

278

160

59

294

65

220

Japan

93

94

298

6

296

186

Singapore

15

238

190

240

95

9

UK

70

260

47

86

281

247

US

125

294

153

220

272

216

3a. If the affiliates use bi-lateral payment netting, what payments should be made?

b. What is the total transaction cost for all payments with bi-lateral payment netting?

Payee (thousands)

Payor (thousands)

Australia

Belgium

Germany

Japan

Singapore

UK

US

Australia

211

9

217

282

144

197

Belgium

139

228

99

170

298

272

Germany

278

160

59

294

65

220

Japan

93

94

298

6

296

186

Singapore

15

238

190

240

95

9

UK

70

260

47

86

281

247

US

125

294

153

220

272

216

Explanation / Answer

a. Since all affiliates use bi-lateral payment netting, the net transaction would occur at the end of the quarter. The table given in the question has been used to form another table with only the net payments from the payor to the payee mentioned.

PayorPayee

Australia

Belgium

Germany

Japan

Singapore

UK

US

Australia

NA

72

-

124

267

74

72

Belgium

-

NA

68

5

-

38

-

Germany

269

-

NA

-

104

18

67

Japan

-

-

239

NA

-

210

-

Singapore

-

68

-

234

NA

-

-

UK

-

-

-

-

186

NA

31

US

-

22

-

34

263

-

NA

b. Since the transaction cost of one payment= $30 and the total number of transactions= 21, therefore, total transaction cost for payments= $30 X 21 = $630.

PayorPayee

Australia

Belgium

Germany

Japan

Singapore

UK

US

Australia

NA

72

-

124

267

74

72

Belgium

-

NA

68

5

-

38

-

Germany

269

-

NA

-

104

18

67

Japan

-

-

239

NA

-

210

-

Singapore

-

68

-

234

NA

-

-

UK

-

-

-

-

186

NA

31

US

-

22

-

34

263

-

NA

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