72. Forward Contract Valuation

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Questions and Answers

For an underlying asset that has no holding costs or benefits, the value of a forward contract to the long during the life of the contract is the:

  • spot price minus the present value of the forward price. (correct)
  • difference between the spot price and the forward price.
  • present value of the difference between the spot price and the forward price.

The most likely use of a forward rate agreement is to:

  • lock in an interest rate for future borrowing or lending. (correct)
  • exchange a floating-rate obligation for a fixed-rate obligation.
  • obtain the right, but not the obligation, to borrow at a certain interest rate.

The value of a forward or futures contract is:

  • specified in the contract.
  • typically zero at initiation. (correct)
  • equal to the spot price at expiration.

At time $t$, prior to its settlement date at time $T$, the value $V_t$ of a long forward with a price of $F_0(T)$ will be related to the spot price, $S_t$, of an asset that has a zero net cost of carry by:

<p>$V_t = S_t - F_0(T)(1 + R_f)^{-(T - t)}$ (C)</p> Signup and view all the answers

Flashcards

Value of a Forward Contract (No Holding Costs/Benefits)

The spot price minus the present value of the forward price.

Purpose of a Forward Rate Agreement (FRA)

To manage interest rate risk by securing an interest rate for future borrowing or lending.

Value of a Forward/Futures Contract

Typically zero at initiation. At expiration, it equals the spot price minus the contract price.

Value of a Long Forward Position Prior to Settlement

Vt = St - Fo(T)(1 + Rf)-(T - t)

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Study Notes

  • The value of a forward contract to the long position during the contract's life is the spot price minus the present value of the forward price.
    • Vt(T) = St – F0(T) (1 + Rf)–(T–t).
  • A forward rate agreement's most likely use is to lock in an interest rate for future borrowing or lending.
    • An FRA manages interest rate risk.
    • An FRA is a forward commitment, not a contingent claim.
    • An interest rate swap exchanges a floating-rate obligation for a fixed-rate obligation.
  • The value of a forward or futures contract is typically zero at initiation.
  • Upon expiration, its value equals the difference between the spot price and the contract price.
    • The price of a forward or futures contract is set when the parties agree to trade the underlying asset on a future date.
  • The value of a long forward position prior to settlement is:
    • Vt = St − F0(T)(1 + Rf)–(T – t), when the net cost of carry is zero.
    • Where:
      • t is time
      • T is the settlement date
      • Vt is the value
      • F is the price
      • S is the spot price

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