Question
Scenario 1: You also obtain the following rates that you regard as similar to the annual risk free rates applying in the countries: U.S.A. 2.660%
Scenario 1:
You also obtain the following rates that you regard as similar to the annual risk free rates applying in the countries:
U.S.A. | 2.660% |
Canada | 2.155% |
Australia | 1.953% |
Scenario 2:
Considering the calculations you have done so far, you need to attend to a number of import and export transactions for goods that companies in the United States expressed interest in.
The first transaction is for the import of good quality wines from Australia, since a retail liquor trading chain customer in the United States, for who you have been doing imports over the past five years has a very large order this time. The producer in Australia informed you that the current cost of the wine that you want to import is AUD$2,500,000. The producer in Australia will only ship goods in three months time due to seasonal differences but payment will have to be conducted six months from now.
The second transaction is for the export of 3d printers manufactured in the U.S.A. The country where it will be exported to is Canada. The payment of CAD 2,500,000 for the export to Canada will be received nine months from now.
You consider different transaction hedges, namely forwards, options and money market hedges.
You are provided with the following quotes from your bank, which is an international bank with branches in all the countries:
Forward rates:
Currencies | Spot | 3 month (90 days) | 6 month (180 days) | 9 month (270 days) | 12 month (360 days) |
$/CAD | 0.76465 | 0.76559 | 0.77475 | 0.76748 | 0.76843 |
$/AUD | 0.72390 | 0.72516 | 0.72641 | 0.72766 | 0.72892 |
Bank applies 360 day-count convention to all currencies (for this assignment apply 360 days in all calculations).
Annual borrowing and investment rates for your company:
Country | 3 month rates | 6 months rates | 9 month rates | 12 month rates | ||||
| Borrow | Invest | Borrow | Invest | Borrow | Invest | Borrow | Invest |
United States | 2.687% | 2.554% | 2.713% | 2.580% | 2.740% | 2.607% | 2.766% | 2.633% |
Canada | 2.177% | 2.069% | 2.198% | 2.090% | 2.220% | 2.112% | 2.241% | 2.133% |
Australia | 1.973% | 1.875% | 1.992% | 1.894% | 2.012% | 1.914% | 2.031% | 1.933% |
Bank applies 360 day-count convention to all currencies. Explanation e.g. 3 month borrowing rate on $ = 2.687%. This is the annual borrowing rate for 3 months. If you only borrow for 3 months the interest rate is actually 2.687%/4 = 0.67175% (always round to 5 decimals when you do calculations). Furthermore, note that these are the rates at which your company borrows and invests. The rates are not borrowing and investment rates from a bank perspective.
Option prices:
Currencies | 3 month options | 6 month options | ||||||
| Call option | Put option | Call option | Put option | ||||
| Strike | Premium in $ | Strike | Premium in $ | Strike | Premium in $ | Strike | Premium in $ |
$/CAD | $0.76292 | $0.00392 | $0.76828 | $0.00392 | $0.77205 | $0.00387 | $0.77747 | $0.00387 |
$/AUD | $0.72155 | $0.00690 | $0.72843 | $0.00690 | $0.72279 | $0.00688 | $0.72969 | $0.00688 |
Bank applies 360 day-count convention to all currencies. (Students also have to apply 360 days in all calculations). Option premium calculations should include time value calculations based on US $ annual borrowing interest rates for applicable time periods e.g. 3 month $ option premium is subject to 2.687%/4 interest rate.)
Question:
f. Assume you entered into the forward hedge for the import from Australia. Four months have passed since you entered into the hedge. Interest rates are the same as before. The spot exchange rate of the $/AUD is 0.72551. Calculate the value of your forward position. Please use a 360 day-count convention, since the bank also used a 360 day-count convention with the forward quotes provided to you. Also remember for interest rates use risk free rates provided under scenario 1. Show your calculation in table 8 on the separate answer sheet.
Table 8: Value of the forward position (5 marks)
Show answer in this row: ($ loss or gain for long/short position in forward) |
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Show your workings in the columns below the answers
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