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eBook Problem 16-08 In March, a derivatives dealer offers you the following quotes for June British pound option contracts (expressed in U.S. dollars per GBP):

eBook

Problem 16-08

In March, a derivatives dealer offers you the following quotes for June British pound option contracts (expressed in U.S. dollars per GBP):

MARKET PRICE OF CONTRACT
Contract Strike Price Bid Offer
Call USD1.40 0.0640 0.0646
Put 0.0240 0.0246
Call USD1.44 0.0413 0.0419
Put 0.0410 0.0416
Call USD1.48 0.0240 0.0246
Put 0.0640 0.0646

  1. Assuming each of these contracts specifies the delivery of GBP 31,300 and expires in exactly three months, complete a table similar to the following (expressed in dollars) for a portfolio consisting of the following positions:

    1. Long one 1.44 call

    2. Short one 1.48 call

    3. Long one 1.40 put

    4. Short one 1.44 put

    Do not round intermediate calculations. Round your answers to the nearest cent. Enter the net initial costs as negative values. Use a minus sign to enter negative values. If the answer is zero, enter "0".

    June USD/GBP Net Initial Cost Long Call 1.44 Profit Short Call 1.48 Profit Long Put 1.40 Profit Short Put 1.44 Profit Total Net Profit
    $1.36 $ $ $ $ $ $
    $1.40 $ $ $ $ $ $
    $1.44 $ $ $ $ $ $
    $1.48 $ $ $ $ $ $
    $1.52 $ $ $ $ $ $

  2. What is the breakeven point? Do not round intermediate calculations. Round your answer to four decimal places.

    $

    What is the nature of the currency speculation represented by this portfolio?

    The position resembles a -Select-bearbullbutterflyItem 33 spread. The purchaser of this portfolio predicts a moderate -Select-risefallItem 34 of the USD/GBP rate.

  3. If in exactly one month (i.e., in April) the spot USD/GBP rate falls to 1.380 and the effective annual risk-free rates in the United States and England are 5.5% and 6.5%, respectively, calculate the equilibrium price differential that should exist between a long 1.44 call and a short 1.44 put position. (Hint: Consider what sort of forward contract this option combination is equivalent to and treat the British interest rate as a dividend yield.) Assume that exactly 2 months left to expiration of the options. Do not round intermediate calculations. Round your answer to four decimal places. Use a minus sign to enter a negative value, if any.

    $

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