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Question 3 The firms senior management has taken note of your expertise in arbitrage trading. You have been asked to identify potential arbitrage opportunities based

Question 3

The firms senior management has taken note of your expertise in arbitrage trading. You have been asked to identify potential arbitrage opportunities based on the differences in exchange rates in table 4 and 5. Suppose that the actual forward rates for the end of October 2020 are as follows:

Comm / Terms

Bid

Ask

Opinion

(over/under/ fairly valued)

Suggested Strategy

AUD/CAD

0.9447

0.9455

GBP/USD

1.3100

1.3105

NZD/USD

0.6510

0.6513

Table 5: Actual forward FX rates for the end of October 2020.

The following are the calculated forward bid, ask and mid rates:

Comm / Terms

Bid

Ask

Mid

AUD/USD

0.7162

0.7164

0.7163

AUD/EUR

0.6063

0.6067

0.6065

EUR/AUD

1.6487

1.6490

1.6489

AUD/GBP

0.5470

0.5473

0.5472

GBP/AUD

1.8276

1.8281

1.8279

AUD/JPY

75.7308

75.7608

75.7508

EUR/USD

1.1809

1.1813

1.1811

GBP/USD

1.3090

1.3095

1.3093

USD/JPY

105.7341

105.7641

105.7541

EUR/GBP

0.9018

0.9023

0.9021

EUR/JPY

124.8795

124.9195

124.8995

GBP/JPY

138.4200

138.4700

138.4500

AUD/CAD

0.9433

0.9441

0.9437

EUR/CHF

1.0746

1.0755

1.0751

GBP/CHF

1.1913

1.1922

1.1918

USD/CHF

0.9101

0.9103

0.9102

USD/CAD

1.3174

1.3178

1.3176

NZD/USD

0.6538

0.6541

0.6540

Table 4: Implied forward rates at the end of October 2020. Mid rate = (bid rate + ask rate)/2

Inform the company whether the commodity currencies listed in Table 5 are over-, under-, or fairly valued compared to the implied forward rates estimated in Table 4 [1.5 Marks],

and what is your suggested strategy to the top management (buy or sell the commodity currency)? [1.5 Marks]. If there is any arbitrage opportunity available between the implied forward rates estimated in Table 4 and the actual forward rates listed in Table 5, how much profit can you generate for the company as a price taker with 50,000,000 units of currency (choose the most profitable option) [2 Marks]. To minimise the transaction costs involved you can only exploit arbitrage opportunities between two exchange rates (i.e., No Triangular Arbitrage opportunity allowed). Finally, you must convert profit, if any, to AUD using the mid rates estimated in Table 4 [1 Mark].

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