# Annual coupon rate vs yield to maturity

Where c is the annual coupon rate, F is the face value of the bond and P is its current market price. Current yield of a bond that trades below its face value is higher than its nominal yield i.

## Yield to maturity

The most useful and theoretically-sound measure of bond yield is the yield to maturity of the bond. There are other measures such as current yield, but they are less comprehensive.

Relationship between bond prices and interest rates - Finance & Capital Markets - Khan Academy

The yield to maturity is the rate of return that a bondholder expects to earn if he purchases the bond at its current price P 0 and holds its till maturity and receives all associated future coupon payments and the maturity value. It is effectively the internal rate of return of the bond.

Where P 0 is the current bond price, c is the annual coupon rate, m is the number of coupon payments per year, YTM is the yield to maturity, n is the number of years the bond has till maturity and F is the face value of the bond.

• Bond Yield to Maturity Calculator!
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The above equation must be solved through hit-and-trial method, i. Yield to maturity has the same weakness as that of the internal rate of return. It assumes that the coupon payments are reinvested at the yield to maturity.

## Bond Yield to Maturity (YTM) Calculator

It understates the reinvestment risk. The bond had a maturity of 10 years when issued. As at 1 Jan , the bond has 8 years till maturity, its coupon rate is 3. Because the bond is trading at price above its face value, so the yield must be lower than the coupon rate.

If we enter 3. The bond price we arrive at by entering 3. We must slightly reduce our yield to maturity estimate. This is the yield to maturity of the bond. The yield to maturity obtained using the RATE function is the semi-annual rate, which can be converted to the annual rate by multiplying it with 2. Similarly, we can work out yield to maturity on the remaining dates.

### What is the Yield to Maturity (YTM)?

The following table summarizes the yield corresponding to the given prices and years till maturity:. The calculator internally uses the secant method to converge upon a solution, and uses an adaptation of a method from Github user ndongo.

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This makes calculating the yield to maturity of a zero coupon bond straight-forward:. Use the Yield to Maturity as you would use other measures of valuation: a factor in your decision whether to buy or avoid a bond. You can compare YTM between various debt issues to see which ones would perform best. Note the caveat that YTM though — these calculations assume no missed or delayed payments and reinvesting at the same rate upon coupon payments. By day he writes prose and code in Silicon Valley.