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0 votes
0 answers
71 views

Modified Duration vs. Real-World Bond Price and Yield Changes

We know that modified duration at time $t$ of a bond with maturity $n$ is defined as: $$ D_{nt} = - \frac{1}{P_{nt}} \frac{\partial{P_{nt}}}{\partial y_{nt}} $$ And the definition of a derivative is: $...
Tomas da Nobrega's user avatar
3 votes
1 answer
226 views

Calculating spread on a par rate curve given bond’s coupon and yield

In Tuckman and Serrat’s Fixed Income Securities, they give an example of a bond and state its coupon and yield. They also provide an HQM par rate curve and quote the bond’s spread to this curve. How ...
akrylic's user avatar
  • 31
0 votes
0 answers
106 views

How do i use this formula to find the YTM of a step up bond?

I'm trying to find the YTM for a step up bond that trades at par value, how do I use this formula? Since the par value and sale price is the same, and coupon payment is different each payment.
user68809's user avatar
2 votes
1 answer
218 views

Strange Market Data YTM for a Zero Coupon Bond

I am trying to compute the YTM of the following Zero-Coupon Bond: The issue date was 13-01-2022 and the maturity date was 14-01-2023. For me, it seems strange that the price remains "almost ...
david.t_92's user avatar
1 vote
0 answers
34 views

Why do some TIPS bonds have credit spread < 0 [duplicate]

If we look at the yield spreads on Bloomberg of some TIPS bonds, we see they have credit spread < 0 (i.e. their yield is even lower than their benchmark treasury bonds) Why is that the case. ...
Taylor Fang's user avatar
0 votes
1 answer
230 views

How do I calculate yield and trading margin of an Australian Dollar floating rate note?

I am trying to calculate the yield and trading margin on an AUD FRN in a robust manner. I am hoping someone can help with a few details. I am forecasting cash flows and solving for the discount rate ...
JPI's user avatar
  • 21
5 votes
3 answers
2k views

Carry and Pull to Par of a bond

I am of the understanding the true carry of a bond is yield - repo rate. And not simply coupon + repo cost because this doesn’t ...
anon1234's user avatar
4 votes
1 answer
3k views

How to compute par yield from zero rate curve?

How does one calculate the below two-year par yield given the zero rate curve: Assume the following two-year zero rate curve, with continuous compounding: ...
SayMyNameHeisenberg's user avatar
2 votes
1 answer
150 views

Why did high yield corporate bond ETFs tank during the great recession

My apologies if this is not mathematical enough for this outlet. My understanding of the pricing of a bond ETF is that lowering interest rates drive the price up and increased risk of default drives ...
Ian Fellows's user avatar
0 votes
0 answers
351 views

Calculating historical volatility and returns from bond yield

I am interested to calculate the historical volatility and returns from a time series of US 3m T-bill yield (see screenshot below), for portfolio optimization. I am not too sure how to bridge the idea ...
fauxpas's user avatar
  • 55
0 votes
1 answer
121 views

Bond ETF Dividends

Bond ETFs usually make monthly dividend payments. The ETF manager receives quarterly or semiannual coupons on the underlying bonds in the ETF. What is the time delay between the coupons received and ...
trade_the_basis's user avatar
14 votes
4 answers
32k views

question regarding carry & roll of a bond

I have a simple (and might be a dumb) question regarding the calculation of a bond's carry. If someone doesn't take into account cost of financing (e.g. the repo rate) then the bond's approximate ...
Daniel's user avatar
  • 233