Quote from atticus:
These threads are ridiculous. The only risk/opportunity cost is rho (holding both positions simultaneously) over the duration the positions are held. There is no inherent benefit if you exclude an interest-rate prediction/dividend surprise or commissions. If you are clairvoyant and know rates will fall precipitously, trade the CC, but it's not going to cover the costs associated with the position. IOW, there is not enough rate-risk embedded in the position to make for an outright spec.
All natural/synthetic risks are limited to interest rates. Conversions, rolls, etc., are bets on interest rates.