FI Flashcards
Why would you add fixed income to a portfolio (3 reasons)
Diversification
Cash flows
Hedge against inflation
Why does adding fixed income diversify your portfolio? Imagine against an equity portfolio
Because, traditionally, the correlation between equity and fixed income is less that one, meaning that the combination of assets will create diversification benefits.
What factors affect bond market liquidity?
Time since issuance, credit quality,
What are the 5 (yes 5) components of bond returns
Coupon payment Roll yield Yield changes (IR and Credit) Credit deterioration Currency yield
What is the roll yield in modeling bond expected return
It ASSUMES an upward sloping yield curve, and as the TIME TO MATURITY decreased, the price of the bond INCREASES, so you gain on the increase in price of the bond.
If the yield curve is flat, it is dependent on whether the bond was issued at par or premium etc, to determine how the bond is pulled toward par as the time to maturity decreases
What are the 2 weaknesses to the 5 components of modeling bond expected return
- Assumes duration and convexity are an appropriate measure of bond price movements - these are more like approximations
- Cheapness/richness effect pricing bonds - not all factors are taken into consideration when pricing a bond off the yield curve - they could be cheap or rich dependent on other factors
Name 4 ways to get leverage in a fixed income portfolio
Futures
Repos
Swaps
Security lending
Explain what leverage is in a fixed income portfolio (look at the answer)
It is increasing the risk in the portfolio, ussually with borrowed cash, to increase returns
How would a swap lever a portfolio
It gives you a long and short exposure to certain charecteristics, which could increase the returns on your portfolio.
If you think IR will increase and you want to gain off that, then you will get a recieve floating swap
How does a repo work
It is a repurchase agreement. You LEND a security to someone for some cash which you can put to work, then you pay that cash back and get your security back - this can work on both sides of the transaction
How does security lending effect a portfolio return
It is when you lend a security to someone else for a fee of x% - so you automatically gain on that
How does security lending and repo differ
With security lending, there is no set period, whereas a repo is ussually over a month or overnight or 10 days.
Also, in security lending, the lender can recall the security whenever they like
Why might someone borrow a security in a repo agreement
They may need it to cover a short sale they have entered into, or to hedge a short term position or to bring their duration back into like
Differences between a barbell and bullet portfolio when managing liabilities?
Barbell portfolio is when you have a 2 asset portfolio that has differing maturities which on average MATCHES that of your liability.
Bullet portfolios are just a zero coupon payment that match your liability
Do you want convexity in your portfolio when trying to manage a liability
NO WAY JOSE. YOU DONT. Convexity = dispersion which is not what you want when managing a liability
If there is a steepening of the yield curve, how does that effect your bullet and barbell portfolios?
Barbells rekt. Why? Becuase they are more exposed to long duration shifts as they have longer dated bonds in their portfolios, meaning thier value GO DOWN when long term key rates go UP
What is a positive butterfly shift?
It is short term up, mid term down and long term yields go up
What are 3 things you want/need to manage a liability. 3 charecterisitcs that must be met
ASSETS MUST BE MORE THAN LIABILTIIES
CONVEXITY MUST BE LOW
THe duration of the portfolio must match that of the liability
If there is a one time parellel shift in the yield curve, what sort of portfolio will outperform - which charecteristic and why
The one with more convexity, on the up or downside, as it provides price support on the downside while increasing upside on a down shift
Advantages of immunization strategies of managing a liability
Protect against IR risk
Provides flexability to activley manage portfolio
disAdvantages of immunization strategies of managing a liability
Can NOT hedge out structural risk (non parellel shifts in yield curve)
Can not hedge out credit and deafult risk
Costs associated with rebalancing
Formula for duration effect on portfolio
Duration effect is=
% change yield * Duration = % change in price
Convexity formula for change in price in portfolio
Convexity * .5 * Change in yield ^2
What are the 3 conditions that MUST be met to create a portfolio to immunize MULTIPLE liabilities at once
Portfolio MV is more than the PV of liabilities
Higher convexity in the assets
The disparity/range of duration is larger for the assets than the liabilities
To create a portfolio to immunize multiple liabilities, you need to have a duration range that exceeds that of the liabilitities, what does this mean? And why would you do it?
So, if you have liabilities with durations of 3 and 5 (50/50 split), you want assets that have a duration of 2 and 6 - this means that if the yield curve changes up or down, you are protected.
Lets imagine i have a portfolio worth 60m dollars and a liability worth $84 million, can i immunize?
NO WAY, the PV of the portfolio must equal or exceed that of the liabilities
I have a portfolio and multiple liabilities.
The 2 asset portfolio has an average duration of 5, with durations of those assets of 4 and 7.
The 2 liabilities have a duration of 6 and a range of durations of 4 and 8.
What is wrong with this portfolio to immunize?
2 things. The durations DO NOT MATCH.
The range of the durations of the PORTFOLIO do not exceed that of the liabilities. The range of durations on the assets must be wider.
What is contingent immunization
It is when you DO NOT HAVE TO PASSIVELY immunize the portfolio, you can actively manage it IF, and ONLY IF, the portfolio does not drop below a pre-defined level - ussually the PV of the liabilities if the portfolio were managed using a passive immunization strategy.
What is a cash flow matching portfolio in liability investing?
Pretty much matching the cash flows to liabilities due -
Advantage and disadvantage of cash flow matching strategy
Adv - no need to worry about interest rates
Dis - More bonds ussually needed in portfolio, more transaction costs
What do you use to manage a duration gap in portfolio?
Derivatives, SWAP, Future, swaptions etc.
Formula for number of contracts Needed to fill duration gap
(Value of Liability * .0001 * Duration) - (Value of Asset * .0001 * Duration)
/
Basis point value of contract
If you think interest rates will increase, and you currently have a duration gap whereby you have less duration in a portfolio than a liability you would like to match, would you over or under hedge
UNDER. If you think IR increase, then ir increase = more downward pressure on bond prices. You do not want this exposure
If you have less duration than the liability you are looking to immunise, how would you use a swap
You would enter a recieve fixed swap, so you are recieving the duration
Formula for notional amount of swap to hedge duration of a liability
Notational GAP (Value of Liability- Assets) / Duration fixed (this is what you are getting, so it is positive) MINUS Duration floating leg of swap