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The Wall Street Journal reported the following spot and forward rates for the Swiss franc (\(/SF):

Spot .................................................... \)0.8202

30-day forward ................................... \(0.8244

90-day forward ................................... \)0.8295

180-day forward ................................. \(0.8343

a. Was the Swiss franc selling at a discount or premium in the forward market?

b. What was the 30-day forward premium (or discount)?

c. What was the 90-day forward premium (or discount)?

d. Suppose you executed a 90-day forward contract to exchange 100,000 Swiss francs into U.S. dollars. How many dollars would you get 90 days hence?

e. Assume a Swiss bank entered into a 180-day forward contract with Bankers Trust to buy \)100,000. How many francs will the Swiss bank deliver in six months to get the U.S. dollars?

Short Answer

Expert verified
  1. The Swiss franc was selling at a discount.
  2. The 30-day forward premium was 6.14%.
  3. The 90-day forward premium was 4.53%.
  4. $82,950 you get 90 days hence.
  5. The Swiss bank delivers 119,860 francs in six months to the U.S. dollars.

Step by step solution

01

Definition

Spot rate: - Spot rates are those rates that are applicable on buying or selling currencies at the spot (immediately)

Forward rate: - Forward rates are those rates that are applicable on buying or selling currencies at the future specified date.

02

Answer (a)

Spot=$0.82021Swissfranc=$0.8202

Hence, the Swiss franc is selling at a discount.

03

Answer (b)

Spot rate= $0.8202

30 days forward rate= $0.8244

Forward â¶Ä‰premium/discount â¶Ä‰rate=Forward−SpotSpot×12months×100

=$0.8244−$0.8202$0.8202×121×100=$0.0042$0.8202×121×100=6.14%

04

Answer (c)

Spot rate= $0.8202

90 days forward rate= $0.8295

Forward â¶Ä‰premium/discount â¶Ä‰rate=Forward−SpotSpot×12months×100

=$0.8295−$0.8202$0.8202×123×100=$0.0093$0.8202×123×100=4.53%

05

Answer (d)

90 days forward price= $0.8295

Swiss franc= 100,000

Dollars=Swiss franc×Forward price=100,000×$0.8295=$82,950

06

Answer (e)

180 days forward price= $0.8343

U.S. dollars= 100,000

=$100,000$0.8343=119,860 â¶Ä‰Swiss â¶Ä‰franc

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