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Fixed Income
Formulas
25
Finance
Professional
01/26/2013

Additional Finance Flashcards

 


 

Cards

Term
Bond Coupon
Definition
Coupon Rate * Par Value
Term
Coupon Rate (Floating)
Definition
Reference rate + Quoted margin
Term
Coupon Rate (Inverse Floaters)
Definition
K - [L * Reference Rate)
Term
Callable Bond Price
Definition
Value of option-free bond - value of embedded call option
Term
Putable Bond Price
Definition
Value of Option-free bond + value of embedded put option
Term
Dollar Duration
Definition
Duration * Bond value
Term
Inflation-Indexed Treasury Securities
Definition
TIPS Coupon = Inflation-adjusted par value * (Stated coupon rate/2)
Term
Nominal Spread
Definition

Yield on Bond X - Yield on Bond Y

 

Bond Y is the reference bond

Term
Relative Yield Spread
Definition

[Yield on Bond X-Yield on Bond Y] / Yield on Bond y

 

Bond Y is the reference bond

Term
Yield Ratio
Definition
Yield on Bond X / Yield on Bond Y
Term
After-Tax Yield
Definition
Pretax Yield * (1-Marginal Tax Rate)
Term
Taxable-Equivalent Yield
Definition
Tax Exempt Yield / (1-Marginal Tax Rate)
Term
Bond Value
Definition

Maturity Value / (1+i)Years til maturity*2

 

i = semi-annual discount rate

Term
Valuing a Bond Between Coupon Payments
Definition

w = Days between settlement date and next coupon payment date / days in coupon period

 

PVt = Expected Cash Flow / (1+i)t-1+w

Term
Current Yield
Definition
Annual Cash Coupon / Bond Price
Term
Bond Price
Definition
Sum of PV Coupon Payments + Maturity Payment
Term
Formula to Convert BEY into Annual-Pay YTM
Definition
Annual-Pay Yield = [(1+(BEY/2))2 - 1]
Term
Formula to Convert Monthly Cash Flow Yield into BEY
Definition
BEY = [(1+monthly CFY)6-1] * 2
Term
Discount Basis Yield
Definition
d = (1 - p) * [360 / N]
Term
Z-Spread
Definition

OAS + Option cost

 

OAS = Z-Spread - Option Cost

 

**Don't know what either of these are

Term
Duration
Definition

[V--V+] / [2*V0(Δy)

 

where:

Δy = change in yield in decimal

V0 = initial price

V- = price if yields decline by Δy 

V+ = price if yields increase by Δy 

Term
Portfolio Duration
Definition

Portfolio duration = w1D1 + w2D2 +...+ wNDN

 

where:

N = Number of bonds in portfolio.

Di = Duration of Bond i.

wi = Market value of Bond i divided by the market value of portfolio

Term
Percentage Change in Bond Price
Definition

= duration effect + convexity adjustment

= {[-duration * (Δy)] + [convexity * (Δy)2]} * 100

 

where: Δy = Change in yields in decimals

Term
Convexty
Definition
C = [V++V--2V0] / [2V0(Δy)2]
Term
Price Balue of a Basis Point
Definition
Duration * .0001 * Bond Value
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