Forward Price With Cost of Carry

Derivatives & Risk
Forwards
Easy
A stock trades at . The continuously compounded risk-free rate is , the continuous dividend yield is , and maturity is one year. Find the no-arbitrage forward price.
Hint 1

A continuous dividend yield reduces the net cost of carry below the risk-free rate.

Hint 2

The forward price is .

Show worked solution
  1. 1. Apply the cost-of-carry formula

    With continuous yield , .

  2. 2. Evaluate

    Numerically, .

Answer: 100e^0.03

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