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.
- AdecreaseCorrect
- Bremain unchanged
- 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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