A zero-coupon bond is a bond that is sold now at a discount...

$A$ zero-coupon bond is a bond that is sold now at a discount and will pay its face value at the time when it matures; no interest payments are made.
Zero-Coupon Bonds in 10 years, be sold for now if its rate of return is to be $4.5 \%$ compounded annually?

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Key Concepts

Zero-Coupon Bond

A zero-coupon bond is a financial instrument that does not pay periodic interest. Instead, it is issued at a discount to its face value and pays the full face value at maturity. This structure requires the investor to rely solely on the bond's appreciation as it approaches its maturity date.

Present Value Calculation

The concept of present value is central to bond pricing, particularly in discounting future cash flows to their value today. For zero-coupon bonds, the future cash flow (face value) is discounted using an appropriate rate, such as a yield or required rate of return, to determine the bond’s current market price.

Compound Interest

Compound interest refers to the process of calculating interest on both the initial principal and the accumulated interest from previous periods. When interest is compounded annually, the rate applies to the balance once per year, which is essential for determining the growth of the invested amount or for discounting a future cash flow.

Discount Rate and Yield

The discount rate, often synonymous with the yield, is the rate used in the present value calculation to determine the current price of a bond based on its future value. In this context, it reflects the required rate of return that investors expect, accounting for factors such as risk and market conditions.

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