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CFA Level I · CFA Level I Exam · Pricing and Valuation of Forward Contracts and for an Underlying with Varying Maturities

A dealer holds a long forward on an asset that pays no income. Compared with the position value when the contract was initiated, a decline in the risk-free rate, with the spot price unchanged, will most likely cause the value of the long forward to:

The value of the long forward will most likely decrease. Its value is the spot price minus the present value of the fixed forward price, and a lower risk-free rate raises that present value, which reduces the long position's value when the spot price is unchanged.

  1. AdecreaseCorrect
  2. Bremain unchanged
  3. Cincrease

Explanation

Long value = S - F/(1+r)^(T-t). A lower rate reduces the discount, so the PV of the fixed forward price increases. Subtracting a larger PV lowers the long position value, so it decreases.

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