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