Equations Flashcards
Spread equation for default
Spread = Probability of default x (1-RR)
Upfront payment
Risky annuity x (quoted spread - Coupon) x notional
MTM
new upfront - old upfront
CDS profit
MTM + carry
Carry
entry spread * time in years * notional
Risky PV
(Discounted payout on default * prob. default) + (discounted payout on no default * prob no default)
CDS-Bond basis
CDS spread - Bond spread
Duration
duration 1 * ntional 1 = duration 2 * notional 2
Credit event pnl impact
(no. defaults/ no. constituents) x (1-RR) x notional
Basis - theoretical
traded index spread - weighted spread of underlying single name CDS basket
impairment of tranche
portfolio loss / tranche width
initial option cost
notional x option cost (c) / 10,000
Receiver breakeven spread
strike - (options cost / forward duration)
Payer breakeven spread
strike + (option cost/ forward duration)
PNL on option if exercised
[(spread - strike) * forward duration * notional] - option cost