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Answer: Forward contracts are linear derivatives that require one party to the contract to make the payment at the pre-specified price and the other to deliver the underlying asset.
## Explanation **C is correct.** Forward contracts are linear derivatives because their payoff is linearly related to the value of the underlying asset at maturity and both parties are obligated to fulfill terms of the contract. **Why other options are incorrect:** - **A is incorrect:** The value of the underlying asset determines the value of the derivative contract, not the other way around. Derivatives derive their value from the underlying asset. - **B is incorrect:** Options are non-linear derivatives because their payoff is not linearly related to the stock price. Options have asymmetric payoffs - they provide the right but not the obligation to exercise, and the payoff is zero if the option is out-of-the-money. - **D is incorrect:** Forward contracts are linear derivatives whose value is determined primarily by the price of the underlying asset, interest rates, and time to maturity, but not by the volatility of the underlying asset. The formula for forward price is F = S(1 + R)^T, where S is the spot price, R is the risk-free rate, and T is time to maturity. **Key Distinctions:** - **Linear derivatives** (forwards, futures, swaps) have payoffs that change linearly with the underlying asset price - **Non-linear derivatives** (options) have asymmetric, non-linear payoffs that depend on whether the option is in-the-money or out-of-the-money
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A junior analyst at an investment firm is examining the terms and characteristics of options and forward derivative contracts. The analyst focuses on the distinctions between linear and non-linear derivative contracts when conducting the study. Which of the following statements regarding derivative contracts would most likely be correct for the analyst to make?
A
The value of the underlying asset in a contract is determined by the value of the contract in both linear and non-linear derivatives.
B
Options are linear derivatives that give the holder the right but not the obligation to buy or sell the underlying asset.
C
Forward contracts are linear derivatives that require one party to the contract to make the payment at the pre-specified price and the other to deliver the underlying asset.
D
The value of a forward contract is determined by both the price of the underlying asset and the volatility of the price.
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