Also the longer the remaining time until the bond matures and pays out its final value, the riskier the bond is simply because of the increased potential for payout problems inherent in longer periods of time.

## Zero-Coupon Bond

Thus, for purposes of this formula, you would add 1 to 0. Determine the number of time periods years in this case remaining until the bond matures. For example, if the bond issuer will pay the bond holder the face value of the bond in five years, then the time-to-maturity is five. Take the sum calculated in Step 1 above and raise it to the power of the remaining time period.

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Thus, 1. On a calculator, you would multiply 1. Divide the par face value of the bond by the result of the previous step. The par value of the bond is the amount that the bond issuer will pay to the bond holder when the bond matures. Unanswered Questions.

## How Do I Calculate Yield To Maturity Of A Zero Coupon Bond?

Does a zero-coupon bond have compounding frequencies such as quarterly or monthly; if there is a specific compounding frequency, how is the YTM computed? Answer this question Flag as Flag as Include your email address to get a message when this question is answered. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.

On the open market, investors pay higher prices for zero-coupon bonds when they require a lower rate of return and lower prices when a higher rate of return is required. The higher the risk the bond issuer will go bankrupt and not repay the bond holders, the higher the interest rate you need to compensate for that risk. Also, remember to consider the length of time until the bond matures.

### What it is:

The lower the price you pay for the zero-coupon bond, the higher your rate of return will be. To figure the price you should pay for a zero-coupon bond, first divide your required rate of return by to convert it to a decimal. Second, add 1 to the required rate of return as a decimal. Third, raise the result to the power of the number of years until the bond matures.

Fourth, divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return. First, divide 6 percent by to get 0. Zero-coupon bonds are very common, and most trade on the major exchanges.

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Corporations, state and local governments, and even the U. Treasury issue zero-coupon bonds. Corporate zero-coupon bonds tend to be riskier than similar coupon-paying bonds because if the issuer defaults on a zero-coupon bond, the investor has not even received coupon payments -- there is more to lose. For tax purposes, the IRS maintains that the holder of a zero-coupon bond owes income tax on the ir that has accrued each year, even though the bondholder does not actually receive the cash until maturity.

The IRS calls this imputed interest.

## How do I calculate yield to maturity of a zero-coupon bond?

Zero-coupon bonds are usually long-term investments ; they often mature in ten or more years. Although the lack of current income provided by zero-coupons bond discourages some investors, others find the securities ideal for meeting long-range financial goals like college tuition. The deep discount helps the investor grow a small amount of money into a sizeable sum over several years. Because zero-coupon bonds essentially lock the investor into a guaranteed reinvestment rate , purchasing zero-coupon bonds can be most advantageous when interest rates are high.

They are also more advantageous when placed in retirement accounts where they remain tax-sheltered. Some investors also avoid paying taxes on imputed interest by buying municipal zero-coupon bonds, which are usually tax-exempt if the investor lives in the state where the bond was issued.

The lack of coupon payments on zero-coupon bonds means their worth is based solely on their current price compared to their face value.