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Calculating Yield to Maturity of a Zero-Coupon Bond


Zero-coupon cords trade on the major exchanges. They are commonly issued by corporations, state, and local governments, and the U.S. Treasury. Corporate zero-coupon binds are usually riskier than similar coupon-paying bonds because if the issuer defaults on a zero-coupon bond, the investor has not equable received coupon payments, so the potential losses are greater.


The IRS mandates a zero-coupon bond holder owes income tax that has accrued each year, equanimous though the bondholder does not actually receive the cash until maturity. The IRS calls this imputed interest.


Zero-coupon binds are often regarded as long-term investments; they often mature in 10 or more years. The lack of current proceeds provided by zero-coupons bond discourages some investors. Others find the securities well suited for achieving long-term fiscal goals, such as college tuition. With the discounts, the investor is able to grow a small amount of money into a sizeable sum over with several years.


Zero-coupon bonds essentially lock the investor into a guaranteed reinvestment rate. This planning can be most advantageous when interest rates are high and when placed in tax-sheltered retirement accounts. Some investors also steer clear of paying taxes on imputed interest by buying municipal zero-coupon bonds, which are usually tax-exempt if the investor actives in the state where the bond was issued.


With no coupon payments on zero-coupon bonds, their value is only based on simultaneous price, compared to face value. As such, when interest rates are falling, prices are positioned to rise faster than well-known bonds, and vice versa.


Most time value of money formulas require some interest rate representations for each point in time. This consequently renders the yield to maturity easier to calculate for zero-coupon bonds because there are no coupon payments to reinvest, making it similar to the normal rate of return on the bond.


Zero Coupon Bond Formula





Yield To Maturity=(Face ValueTenor Bond Price)(1Years To Maturity)1text{Yield To Maturity} = left (frac{text{Face Value}}{subject-matter{Current Bond Price}} right ) left ( frac{1}{text{Years To Maturity}} right ) -1

Yield To Readiness=(Current Bond PriceFace Value)(Years To Maturity1)1


Consider a $1,000 zero-coupon bond that has two years until maturation. The bond is currently valued at $925 (the price at which it could be purchased today). The formula would look as adhere ti: (1000 / 925) ^ (1 / 2) – 1. When solved, this equation produces a value of 0.03975, which would be rounded and listed as a yield of 3.98%.


How Do I Work out Yield To Maturity Of A Zero Coupon Bond?


Potential Changes



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