The payer and receiver option on CDS index in LIII reading 14, Credit Strategies, is a bit counter intuitive. The receiver option pays premium for right to sell protection on CDS index contract at a future date; the payoff is: Max(credit spread at expiration - CDS credit spread strike, 0) - option premium.
Intuitively, I would think the payoff in the parentheses would be Max (CDS credit spread strike - credit spread at expiration, 0) etc. Given that the receiver has right to sell protection, wouldn’t they want spreads to narrow? Can anyone explain intuition here?