# Pure discount bond

Also found in: Acronyms.

## Pure discount bond

A bond that will make only one payment of principal and interest. Also called a zero-coupon bond or a single-payment bond.
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Consider a futures contract on a pure discount bond. A pure discount bond provides its holder with a single payment upon maturity.
In particular, if the 120-day pure discount bond costs \$95 and the interest cost associated with financing a \$95 loan for 30 days is \$1, then the total cost associated with the buy-and-hold strategy is \$96.
The actual return associated with a 120-day pure discount bond 30 days from now, however, is uncertain: The price may turn out to be \$96, but it could also be \$94 or \$98.
Note that the rate we refer to is the rate of return associated with a 90-day pure discount bond that pays \$100 at maturity.
The value of the pure discount bond [p.sub.0](t) satisfies [p.sub.0](t) = [(1 + r).sup.-1][p.sub.0](t + 1), for t = 0, 1 .
Any bond with a large final payment is partly a pure discount bond with a significant portion of its return coming in the form of capital gains or losses over time.
where [v.sub.t] is the value of currency (the reciprocal of the price level, measured in goods per dollar), and [[Rho].sub.jt] is the yield to maturity on a j-period pure discount bond.(7) Equation 2 tells how to convert the yield to maturity [[Rho].sub.jt] on a j-period nominal pure discount bond into the real price of a promise, sold at time t, to one dollar at time t + j.
Consider an obligation that can be expressed as a T-year pure discount bond. At time zero, the random present value of one unit payable at time T is
In the case of a T-year pure discount bond and random force of interest {[y.sub.s]},
The Appendix provides the recursive calculations relating [V.sub.1] to [V.sub.0], which generalize the T-year pure discount bond case described in the introduction.
I consider debt in the form of pure discount bonds with stochastic maturity.
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