Fixed Income III Flashcards
Steps in bond valuation (3)
(1) estimate coupon and principal payments
(2) Determine discount rate
(3) Calculate present value baed on individual flows
Zero coupon bond payment notes
N = # of years * 2 (semi annual payments)
I/Y = YTM / 2 (semi annual payments)
Arbitrage free valuation
Discount bond based on rate for each cash flow
Value must be worth sum of parts, or else arbitrageur could earn a risk free return
Current yield formula
annual cash coupon / bond price
Yield to maturity
Includes interest and capital gains/losses if purchased at discount/premium
Yield to maturity formula
Use TMV of money keys to solve for āIā
Solve for semi annual I and * 2 to get annual
Bond equivalent yield (BEY)
Semi annual rate * 2
Same as YTM for semi-annual bond
Yield-to-call
Same as YTM, but:
(1) Time until call date is substituted for N
(2) Call price is substituted for FV
Yield-to-worst
This is the worst yield given call provisions. Calculate YTM, YTC, etc and pick the worst.
Yield-to-put
Same as YTC, but
(1) N = periods to put provision
(2) FV = put price
Yield drawback
Most IRR yields (YTM for example) assume reinvestment at same rate
Z-spread
Rate that would need to be added to each point on the spot curve for the geometrically linked rate to equal that of the risky bond
Z-spread vs. nominal spread
Z-spread > nominal spread if yield curve is positive
Z-spread < nominal spread if yield curve is negative
Z-spread = nominal spread if yield curve is flat
Z-spread and OAS
Z-spread - OAS = option cost in percent
OAS
Z-spread but also including impact of options
Forward rate agreement (FRA) notation: 1f3
1-year rate, beginning in year 3
Forward rate agreement (FRA) definition
(1) Agreement to borrow/lend money at a certain rate in the future
(2) No actual loan made, settled in cash
(3) Long has right to borrow and makes money if rates increase
Forward rate agreement (FRA) notional payout
(market rate - contract rate) * (days/360) * notional value of loan
Forward rate agreement (FRA) interest payout
Notional payout / (1+interest rate) * (days/360)
Where interest = current market rate
Forward rate agreement (FRA) 2-by-5
2-by-5 = in 60-days based on 90-day LIBOR
Forwards and swaps
Custom and OTC
Future
(1) Forward contract that is standardized and cleared
(2) Daily settlement of P/L
(3) At initiation priced at zero
Swap
Series of forward contracts
Forward
Agreement to buy/sell physical asset or security at a specific price on a specific date
Long forward
Person that agrees to purchase the security (short will sell)
Forward offsetting contracts
Can enter with another person, but still have counter party risk
Eurodollar deposits
Deposits in large banks outside of the US in US dollars
LIBOR
Quoted in annualized rate
Currency forward payout
(Actual rate - specified rate) * notional = gain/loss
OAS
Removes affect of options. I.e. OAS - option effect = z-spread