# Tagged Questions

Securities which obligate the borrower/issuer to make payments on a fixed schedule. Fixed income securities include sovereign, corporate and municipal bonds, corporate loans, and securitized lending (e.g., ABS). "Fixed" refers only to the schedule of obligatory payments, not the amount, and may ...

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### is there a mapping from Altman Z-score for private companies to bond ratings or probability of default?

On wikipedia, there is a formula to calculate the Altman Z-score for private companies: Z-score estimated for private firms: T1 = (Current Assets − Current Liabilities) / Total Assets T2 = Retained ...
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### What type of interpolation should be used in key rate perturbation models?

When perturbing a key rate in order to assess sensitivity of portfolio value, what sort of interpolation is standard? A book I am looking at says linear, but this seems pretty unrealistic to me--and ...
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### Duality of callable bond price

I am trying to understand the relationship between two methods of pricing callable bonds in the risk-neutral pricing framework. Problem statement Let's consider zero-coupon bond with face value 1, ...
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### Correct form for State Space Equation for Kalman Filter for DNS

In this paper: http://www.ssc.upenn.edu/~fdiebold/papers/paper55/DRAfinal.pdf in eqns 3,5 the state eqn has the mean removed. $(z_t-\mu)=A(z_{t-1}-\mu) + \epsilon_t$ $y_t=C z_t + \delta_t$ ...
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### Equity protection and butterfly certificates pricing

Certificates issued by famous industry names are usually made up by a combination of a fixed income instrument and some vanilla and exotic options. I am looking for something which explains: how to ...
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### Callable bond price sensitivity to Hull-White volatility changes

I'm using classic Hull-White model for short term interest rate dynamic: $$dr(t)=[\theta(t)-\alpha(t)r(t)]dt+\sigma(t)dW(t)$$ (Notation is quite intuitive, anyway I am using the same as Wikipedia ...
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### Fed Funds Rate: longer maturities

FFR published by Fed Bank of NY is the average rate US banks charge each other for the overnight loans of their reserves required by the Fed regulations. Since Fed acts similar to a clearing house ...
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### Problem with Naive Bootstrapping (US Government Bonds)

I am using the formula here to determine the discount factor function and eventually the zero-coupon yields. I get the data for Coupons, Face Values and Closing Prices from Thomson Reuters, which I ...
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### Modified duration in multi-currency portfolio

I was thinking about how to figure aut duration for portfolio of bonds denominated in different currencies… I would like to compare sensitivity of portfolio to shift of yield with competitive ...
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### How can I break down the change in value for an inflation-linked bond

I am trying to decompose the change in value of an inflation-linked bond into two constituent parts: 1) That due to changing nominal rates on the issuer's non-linked bonds 2) That due to changing ...
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### Is there such a thing as “sell-off risk” in bond funds?

Popular yet generally academically-grounded commentators such as Annette Thau and Larry Swedroe have claimed that there is the possibility for "sell-off risk" in bond funds. By this they apparently ...
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### Yield Curve Volatility

Let you have several issuers, and let each issuer have its yield curve built up with liquid plain vanilla fixed rate bonds. Each yield curve has its slope and its curvature, and they obviously change ...
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### What is an appropriate hedge ratio for hedging a credit instrument with equity of the same issuer?

Given a bond and a stock issued by the same issuer, what is the appropriate ratio of bond-to-stock one should hold in order to minimize the specific risk to that issuer? Equivalently, what is the ...
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### How to calculate the theta of a bond?

For calculating P&L from interest rate risk, we often use PV01 to estimate the day over day P&L by multiplying PV01 with a change in curve. Is there any approach to calculate theta P&L in ...
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### Using CME DV01 to predict Futures price at 0.00% Yield

DV01 is published at CME Group for the cheapest-to-deliver bond here: http://www.cmegroup.com/trading/interest-rates/invoice-spread-calculator.html. If my goal is to get an approximation where the ...
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### Bonds with embedded options pricing via binomial model

Notation: t - time; G(t) - zero-coupon yield curve; $r$, $r_d$, $r_u$ - interest rates. The task is to find market price of a bond for today, while knowing the price of a number of other bonds. ...
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### Bootstrapping bond spreads as in the standard CDS model

Suppose that we have a spread curve $\boldsymbol{s}:=(s_1, ..., s_n)$, where $s_i$ are CDS par spreads. Moreover, assume the standard ISDA model framework, i.e. piecewise constant forward / hazard ...
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### Bond Duration with Bond portfolio returns

if I have given CRSP bond portfolio returns with different maturities (1m-12m, etc), how is it possible to compute the Future price and the duration? Beside that I do also have the Nelson-svensson-...
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### How to calculate price in non-competitive bidding that bidders will receive?

Following bids are received in treasury bond auction. Notified amount is Rs.20,000Million. No amount devolves on the RBI/PDs. No. Of bonds/ Price(Rs.) 46/ 110.185 45/ 110....
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### Where can I find bonds time series?

I want to study dependence and correlation between bonds and CDS. I have already found a large CDS database of time series there: www.datagrapple.com I am looking for such a similar database (with an ...
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### state space for affine yield curve

i would like to reproduce in R the working paper " Affine free arbitrage class of Nelson Siegel term structure". The authors considering the equation of nelson siegel plus an adjustment term(C(t,T)) ...
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### affine arbitrage free class of nelson siegel yield curve

I'm studying statistics for finance at university. Last week i read the working paper on "The Affine Arbitrage-Free Class of Nelson-Siegel Term Structure Models". I would like to reproduce in R ...
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### State of Art - Nelson Siegel Modeling

My idea is to work with dynamic Nelson Siegel models(DNS) on my master's thesis. As I am finishing undergraduation this year I started researching on the subject. I wonder what is being discussed in ...
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How do I use FixedRateBondPriceByYield() function on maturity date that is earlier than today? I get "non tradable error" when applying on date older than today. <...
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### Will rolling-down-yield-curve bond strategy work if interest rates remain unchanged?

Suppose I have 2 strategies; A) Buying A One Year Bond And Holding To Maturity (Buy & Hold To Maturity) B) Buying A 3 Year Bond and Selling After One Year (Rolling Down The Yield Curve) Assume ...
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