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2 votes
1 answer
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Proof of the convexity adjustment formula

Let $y_0$ be the forward bond yield observed today for a forward contract with maturity $T$, $y_T$ be the bond yield at time $T$, $B_T$ be the price of the bond at time $T$ and let $\sigma_y$ be the ...
Trajan's user avatar
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5 votes
1 answer
5k views

Why does a barbell portfolio have higher convexity than a bullet porfolio

I cannot quite understood absolutely why a barbell portfolio has higher convexity than a bullet porfolio. I can easily understand how the parallel line represents duration but I cannot see what the ...
Trajan's user avatar
  • 2,542
-3 votes
2 answers
1k views

Why Is Bond Time Value Risk Not Considered in Bond Immunization?

I know bond portfolio immunization includes duration and (if the hedging period is longer) convexity matching. These are equivalent to taking the first and second partial derivatives of the bond ...
Hans's user avatar
  • 2,806
0 votes
2 answers
481 views

Duration vs. Convexity Contradiction

A lower coupon bond exhibits higher duration, which means higher price volatility with changing YTM. A lower coupon bond also exhibits higher convexity. However, with higher convexity, bond prices ...
Hugh's user avatar
  • 3
9 votes
1 answer
1k views

Bond convexity Treasuries futures

I know that long-duration bonds, on a a single bond basis, exhibit convexity. However, do Treasuries futures prices and the 10 year yield exhibit the same property? Below is a plot of continuous 10 ...
jessica's user avatar
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