Zero Coupon Bond Yield Calculator. A Zero Coupon Bond or a Deep Discount Bond is a bond that does not pay periodic coupon or interest. These bonds are issued at a discount to their face value and therefore the difference between the face value of the bond and its issue price represents the interest yield of the bond. Therefore, a zero-coupon bond must trade at a discount because the issuer must offer a return to the investor for purchasing the bond. Pricing Zero-Coupon Bonds. To calculate the price of a zero-coupon bond, use the following formula: Where: Face value is the future value (maturity value) of the bond; About Zero Coupon Bond Calculator . The Zero Coupon Bond Calculator is used to calculate the zero-coupon bond value. Zero Coupon Bond Definition. A zero-coupon bond is a bond bought at a price lower than its face value, with the face value repaid at the time of maturity. It does not make periodic interest payments. Spot interest rate for maturity of X years refers to the yield to maturity on a zero-coupon bond with X years till maturity. They are used to (a) determine the no-arbitrage value of a bond, (b) determine the implied forward interest rates through the process called bootstrapping and (c) plot the yield curve. Formula for yield to maturity: Yield to maturity(YTM) = [(Face value/Bond price) 1/Time period]-1. As can be seen from the formula, the yield to maturity and bond price are inversely correlated. Consider a 30-year, zero-coupon bond with a face value of $100.
Yield to Maturity of Zero Coupon Bonds. A zero coupon bond is a bond which doesn’t pay periodic payments, instead having only a face value (value at maturity) and a present value (current value). This makes calculating the yield to maturity of a zero coupon bond straight-forward: Thus the Present Value of Zero Coupon Bond with a Yield to maturity of 8% and maturing in 10 years is $463.19.. The difference between the current price of the bond i.e. $463.19 and its Face Value i.e. $1000 is the amount of compound interest that will be earned over the 10-year life of the Bond.. Thus Cube Bank will pay $463.19 and will receive $1000 at the end of 10 years i.e. on the
Learn how formulas are used to calculate rates of return - including interest rates, For example, a one-year zero-coupon bond costing $900 and paying a par
This is the case of the Bloomberg zero-coupon yield curve from of the Treasury's website (“Daily Treasury Yield Curve Rates”). As such the zero- coupon interest rate for any required maturity. The formula uses simple interest and the day count convention actual/actual.
Yield to Maturity (YTM) for a bond is the total return, interest plus capital gain, obtained from a bond held to maturity. It is expressed as a percentage and tells investors what their return on investment will be if they purchase the bond and hold on to it until the bond issuer pays them back.