Lesson 7 of 7 · All lessons in this module
  1. Forward contracts and firm commitments
  2. Futures contracts and daily settlementVideo lesson
  3. Swaps as a series of forwardsVideo lesson
  4. Options and call payoffsVideo lesson
  5. Put payoffs and the four option positionsVideo lesson
  6. Credit default swapsVideo lesson
  7. Forward commitments versus contingent claimsVideo lesson

Lesson 7 of 7 · 12 min

Forward commitments versus contingent claims

Forwards and options can give similar exposure to an underlying, but a forward's payoff is linear and costs nothing up front, while an option trades a premium for a payoff that is cut off on one side.

In short

  • Firm commitments oblige both parties and have linear, symmetric payoffs; contingent claims let the buyer choose and have non-linear payoffs.
  • With X=F0(T)X = F_0(T), a long call is like a long forward with downside protection bought for c0c_0. The two profits are equal at ST=F0(T)−c0S_T = F_0(T) - c_0; above that the forward is better.
  • A short put also gains when the price rises, but gives up the upside in exchange for p0p_0. Profits are equal at ST=F0(T)+p0S_T = F_0(T) + p_0; above that the forward is better.
  • Rising price helps: long forward, long call, short put. Falling price helps: short forward, long put, short call.
  • Firm commitments: no premium, two-way credit risk. Options: premium paid up front, credit risk only for the buyer.

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