# Introduction to Proofs in Mathematics by James Franklin; Albert Daoud

By James Franklin; Albert Daoud

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Extra resources for Introduction to Proofs in Mathematics

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In this case, holders of inﬂation-indexed bonds would be sitting pretty as other bond investors see the purchasing power of their ﬁxed interest and ﬁxed principal decline—a decline probably magniﬁed by higher interest rates decreasing the value of their holdings in the secondary market. THE TREASURY AUCTION Okay, now that we know all about what kinds of Treasuries there are, how do you buy the things? You can buy them either from the government (Treasury) when they ﬁrst come out (the primary market) or from a previous owner after they’ve been issued (the secondary market).

However, remember that in a deﬂationary environment the prices of the things you are spending money on have declined, so you have not lost any purchasing power. And the great part is, if deﬂation causes the principal to decline below the face value (the amount of money you loaned the government when the bond was issued) at maturity, the government will still pay you back the original face value. The government has guaranteed that you won’t lose money with these bonds. Pretty neat: upside with no downside.

This is true of all traded securities because shipping paper around would be too cumbersome, timeconsuming, and open to loss or theft. The Treasury issues two types of securities: ﬁxedprincipal and inﬂation-indexed. Fixed principal means you know how many dollars in principal you will be getting at maturity. S. government. S. government. S. government. simple interest interest is paid once, so there is no compounding during the year; the interest rate used for discount securities. S. GOVERNMENT BONDS know your principal will have the same purchasing power when it matures; however, the number of dollars is not known since the amount of future inﬂation/deﬂation is not known.