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You’re a company that has issued bonds paying a 3% coupon, and interest rates are at 5%. Why would you pay off your low coupon bonds, just so that you could issue new bonds and pay a higher coupon?NOSCIENCE wrote:I think this is a level 1 question, but I don’t remember the reason why.
You’re incorrect: bonds with a higher coupon have a lower Macaulay duration, and, therefore, a lower modified duration.NOSCIENCE wrote:Also, duration is higher for bonds with higher coupons, anyone explain why?
With all due respect, this is completely wrong.Harrogath wrote:”The duration is higher for bonds with higher coupon rates.”
If you see how duration is calculated you will know why in 1 minute. (2015 - 2014 Schweser book 5, pag 86)
How not to foget this? Remeber that higher coupon bonds has higher price sensitivity to changes in maket yields, and since duration measures bond’s price risk (price sensitivity to changes in the market yields) this has total sense. A higher coupon bond has higher duration, therefore a higher price sensitivity.
Regards.
Thanks, this makes sense. Longer maturity, higher duration, lower coupon lower duration… add a call, shorter duration, add a put shorter duration.S2000magician wrote:
You’re a company that has issued bonds paying a 3% coupon, and interest rates are at 5%. Why would you pay off your low coupon bonds, just so that you could issue new bonds and pay a higher coupon?NOSCIENCE wrote:I think this is a level 1 question, but I don’t remember the reason why.
You’re incorrect: bonds with a higher coupon have a lower Macaulay duration, and, therefore, a lower modified duration.NOSCIENCE wrote:Also, duration is higher for bonds with higher coupons, anyone explain why?
I wrote an article that may be of some help here: http://financialexamhelp123.com/macaulay-duration-modified-duration-and-...
Um … no.NOSCIENCE wrote:
Thanks, this makes sense. Longer maturity, higher duration, lower coupon lower duration… add a call, shorter duration, add a put shorter duration.S2000magician wrote:
You’re a company that has issued bonds paying a 3% coupon, and interest rates are at 5%. Why would you pay off your low coupon bonds, just so that you could issue new bonds and pay a higher coupon?NOSCIENCE wrote:I think this is a level 1 question, but I don’t remember the reason why.
You’re incorrect: bonds with a higher coupon have a lower Macaulay duration, and, therefore, a lower modified duration.NOSCIENCE wrote:Also, duration is higher for bonds with higher coupons, anyone explain why?
I wrote an article that may be of some help here: http://financialexamhelp123.com/macaulay-duration-modified-duration-and-...