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I hold a bull CBBC issued by firm X which will expire in six months. There was another CBBC with identical terms (same underlying, expiry date, strike price and call price) issued by firm Y. Why was price quoted by firm X lower than that quoted by firm Y?

In addition to the term of CBBC (i.e. underlying, expiry date, strike price and call price), the price of a CBBC also depends on a number of other factors which are based on different pricing assumptions adopted by individual issuers (e.g. different funding level, hedging cost, expected dividends, etc). Accordingly, the prices of CBBCs with identical terms issued by different issuers may be different.