Digital caplet in arrears-nbsp by considering the payout of


Digital caplet in arrears

Consider an option that pays α at time T if LT > K, and zero otherwise.

By considering the payout of this option (a 'digital caplet in arrears') at T + α, show that its price

 

where DK(t, T) is the price of a regular digital caplet, and CK (t, T) is the price of a K-strike caplet with maturity T.

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Financial Econometrics: Digital caplet in arrears-nbsp by considering the payout of
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