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If someone pays you 1 cent every day for the rest of eternity, is that worth infinity dollars?

An investor bought a bond with a constant coupon rate for $1000 with a current yield of 10%. If the yield rises to 11%, what happens to the price?
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You own a bond that will pay 7% per year for the next 10 years, on a principal of $20,000. If the prevailing discount rate is 10% throughout, what is the bond worth now?

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