Fixed Income Flashcards
What does 2y1y means?
Borrow for 1 year after 2 years
What happens to FR curve when SR curve is -
a) flat
b) upward sloping
c) downward sloping
a) FR equal to SR
b) FR above SR
c) FR below SR
What is par rate?
The coupon rate for bonds of various maturities that would result in bond prices equal to their par values.
If SR evolves as predicted FR then bonds of all maturity will realise a one period return equal to one period-
a) SR
b) FR
SR
As per active portfolio manager what happens when-
a) Implied FR is higher than actual SR in future
b) Implied FR is lower than actual SR in future
a) Market appears to be discounting future CF at high rate. Buy bond
b) Market discounting future CF at low rate. Sell bond
What is riding the yield curve?
Instead of holding short maturity bond, holding long maturity bond when yield curve is upward sloping will realise excess return.
Which curve is important benchmark for credit markets and for market participants (wholesale banks)?
For credit markets - Spot rate curve
For wholesale banks - Swap rate curve
since swap curve is not regulated thus is more comparable.
What is plain vanilla swap?
One party makes payment on fixed rate and receive floating rate.
What does higher I spread signifies?
Higher the I spread, riskier the bond.
What is the most important factor in affecting treasury return?
Change in level of interest rates,.
What does unbiased expectations theory/pure expectations theory suggests?
FR is unbiased predictor of future SR.
Investor is risk neutral.
What does segmented market theory (proper balance) suggests?
The shape of the yield curve is result of SS and DD of funds in different markets. Each maturity is essentially unrelated to other maturity.
What shift does effective duration and key rate duration measures?
a) Effective duration - Parallel shift
b) Key rate duration - Non parallel - shaping risk
What does curvature movement means?
If increasing =, it states that short and long term interest rate will increase whereas intermediate rate do not change.
Which spread is a measure of counterparty risk and signifies credit risk?
Ted spread
What is LIBOR OIS spread?
libor OIS spread rate assumes 0 credit risk. It is a good indicator of money market securities.
What is Secured Overnight Financing Rate?
SOFR or overnight cash borrowing rate collateralised by US treasuries is a volume weighted index of all qualified repo market transactions on a given day and is influenced by DD and SS conditions in secured funding markets.
True or False
If the yield curve is not flat, the coupon payments will not be reinvested at the YTM and the expected return will differ from the yield.
True
True or False
Z-spread is the most appropriate to use to value bonds with embedded options
False, it is not appropriate
Which theory can be used to explain almost any yield curve shape.
The preferred habitat theory
Bootstrapping entails-
a) forward substitution
b) backward substitution
Forward substitution
What is Ho Lee model?
An arbitrage free valuations model, The model assumes constant volatility and produces a symmetrical (normal) distribution of future rates.
Derived using the relative pricing concepts of the Black-Scholes model, this model assumes that changes in the yield curve are consistent with a no-arbitrage condition.
The ability to calibrate arbitrage-free models to match current market prices is one advantage of arbitrage-free models over the equilibrium models.
What is Cox Ingersoll model and Vasicek Model?
The Cox-Ingersoll-Ross (CIR) model and the Vasicek model, are both single-factor models. The single factor in the CIR and Vasicek models is the short-term interest rate.
The difference from the CIR model is that volatility in Vasicek model does not increase as the level of interest rates increases (i.e., volatility is constant). The main disadvantage of the Vasicek model is that the model does not force interest rates to be nonnegative.
What is Kalotay Williams Faboozi model?
The Kalotay-Williams-Fabozzi (KWF) model does not assume mean reversion and, like the Ho-Lee model, assumes constant volatility and a constant drift.
the KWF model assumes that the short-term rate is lognormally distributed
What is Gauss+ multifactor model?
Gauss+ is a multifactor model that incorporates short-, medium-, and long-term rates, where the long-term rate is designed to be mean reverting and depends on macroeconomic variables. Medium-term rates revert to the long-term rate, while the short-term rate is devoid of a random component—consistent with the role of the central bank controlling the short-term rate.
True or False?
The market price of callable Bond with no protection period cannot exceed its par value (callable value).
True
Binomial Interest rate tree framework?
It is a lognormal model with two equally likely outcome.
What is the process of calibration of binomial interest rate tree?
a) forward rates are 2 SD apart.
b) midpoint of 2 interest rates is implied one period FR for that period.
Which model to calculate value of embedded options is best?
Binomial interest rate tree
How is interest rate volatility in binomial tree estimated?
Using historical rate volatility or observed market price from interest rate derivatives.
What is monte carlo forward rate substitution? For which securities is it suitable?
It uses pathwise valuation. Suitable for mortgage backed securities.
It has path dependent CF on account of embedded options.
True or False
Binomial Tree backward induction process is appropriate for securities with path dependant CF.
False, it is inappropriate
How is valuation of strip of bonds computed?
It is done on SR calculated from par rates