Implied dividend yield from a forward

A stock trades at $100, the risk-free rate is r=5%r=5\% continuously compounded, and the 1-year forward is observed to trade at $101.51. Assuming no arbitrage, what continuous dividend yield qq is the market implying? (in percent, to 2 decimals)

Show hints (2)+
  1. F=S e(r−q)TF = S\,e^{(r-q)T} - invert for qq.
  2. q=r−1Tln⁡(F/S)q = r - \tfrac1T\ln(F/S).

Answer

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3.5 (± 0.05)

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