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Determine the dollar cash flows to be received if Jones uses a money market hedge and a put option hedge.

Business/Management

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Answers

2 parts
a

\mathbf{\1,222,641.51}$

b

\mathbf{\1,186,400.00}$

Step-by-step solution

7 steps

Here are the dollar cash flows for each hedging strategy:

Part a· 3 steps

Determine the dollar cash flows to be received if Jones uses a money market hedge.

  1. Calculate the amount of Euros Jones needs to borrow today so that the principal plus interest equals the €1,000,000 expected in one year.

    Jones will use the Eurozone borrowing rate.

    Euros to borrow today=€1,000,0001+Eurozone Borrowing Rate=€1,000,0001+0.06=€1,000,0001.06≈€943,396.23\text{Euros to borrow today} = \frac{€1,000,000}{1 + \text{Eurozone Borrowing Rate}} = \frac{€1,000,000}{1 + 0.06} = \frac{€1,000,000}{1.06} \approx €943,396.23
  2. Convert the borrowed Euros into U.S.

    Dollars at the current spot rate. USD received today=€943,396.23×$1.20/€≈$1,132,075.47\text{USD received today} = €943,396.23 \times \$1.20/\text{€} \approx \$1,132,075.47

  3. Invest these U.S.

    Dollars for one year at the U.S. deposit rate. This will be the dollar cash flow received in one year. Dollar cash flow in 1 year=$1,132,075.47×(1+U.S. Deposit Rate)=$1,132,075.47×(1+0.08)=$1,132,075.47×1.08≈$1,222,641.51\text{Dollar cash flow in 1 year} = \$1,132,075.47 \times (1 + \text{U.S. Deposit Rate}) = \$1,132,075.47 \times (1 + 0.08) = \$1,132,075.47 \times 1.08 \approx \$1,222,641.51 The received €1,000,000 in one year will be used to repay the Euro loan.

    The dollar cash flow to be received is \boxed{\mathbf{\1,222,641.51}}$.

Part b

\mathbf{\1,186,400.00}$

Determine the dollar cash flows to be received if Jones uses a put option hedge.

  1. Calculate the total premium paid today for the put options.

    Total Premium=€1,000,000×$0.04/€=$40,000\text{Total Premium} = €1,000,000 \times \$0.04/\text{€} = \$40,000

  2. Since Jones has no cash on hand, the premium must be borrowed.

    Calculate the future value of this premium in one year using the U.S. borrowing rate. Future Value of Premium=$40,000×(1+U.S. Borrowing Rate)=$40,000×(1+0.09)=$40,000×1.09=$43,600\text{Future Value of Premium} = \$40,000 \times (1 + \text{U.S. Borrowing Rate}) = \$40,000 \times (1 + 0.09) = \$40,000 \times 1.09 = \$43,600

  3. Determine the outcome of the put option at maturity.

    The expected spot rate in one year is 1.22/€,whichislessthantheexercisepriceof1.22/€, which is less than the exercise price of 1.23/€. Therefore, Jones will exercise the put option. Dollars from exercising option=€1,000,000×$1.23/€=$1,230,000\text{Dollars from exercising option} = €1,000,000 \times \$1.23/\text{€} = \$1,230,000

  4. Calculate the net dollar cash flow in one year by subtracting the future value of the premium from the dollars received from exercising the option.

    Net Dollar Cash Flow=$1,230,000−$43,600=$1,186,400\text{Net Dollar Cash Flow} = \$1,230,000 - \$43,600 = \$1,186,400

    The dollar cash flow to be received is \boxed{\mathbf{\1,186,400.00}}$.

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