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The cash you receive - just one big payment when the bond matures - is far out in time, so the present value of that cash flow is more sensitive to changes in the discount rate than a regular bond, whose interest payments come before maturity i.e. earlier in time which is why those cash flows are less sensitive to changes in the discount rate.

 

Indeed, key word is duration (look it up if you're not familiar); a zero coupon bond will always have duration equal to maturity, which makes it more sensitive to interest rate changes. A coupon paying bond will have a duration lower than it's years to maturity because you receive cash flow in the meantime

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