The yield-to-maturity (YTM) of a bond is the internal rate of return (IRR) earned by an investor who buys the bond today and holds it until maturity. In other words, YTM is the total return anticipated on a bond if it is held until it matures.

YTM is expressed annually and it takes into account both the interest payments (if any) you receive periodically and the difference between the price you paid for the bond and the face value you receive back at maturity.

For a zero-coupon bond, the only cash flow is the face value you receive at maturity. There are no periodic interest payments. The formula to calculate the YTM of a zero-coupon bond is:

YTM = [(Face Value / Present Value) ^ (1 / Time to Maturity)] - 1

In this case, the face value is $100, the present value (or price of the bond today) is $99.43, and the time to maturity is 1 year.

So, the YTM = [(100 / 99.43) ^ (1 / 1)] - 1

Calculating the above expression gives us the YTM as approximately 0.0057 or 0.57% when expressed as a percentage.

So, the annual yield-to-maturity of the bond is approximately 0.57%.

Question

The yield-to-maturity (YTM) of a bond is the internal rate of return (IRR) earned by an investor who buys the bond today and holds it until maturity. In other words, YTM is the total return anticipated on a bond if it is held until it matures.

YTM is expressed annually and it takes into account both the interest payments (if any) you receive periodically and the difference between the price you paid for the bond and the face value you receive back at maturity.

For a zero-coupon bond, the only cash flow is the face value you receive at maturity. There are no periodic interest payments. The formula to calculate the YTM of a zero-coupon bond is:

YTM = [(Face Value / Present Value) ^ (1 / Time to Maturity)] - 1

In this case, the face value is $100, the present value (or price of the bond today) is $99.43, and the time to maturity is 1 year.

So, the YTM = [(100 / 99.43) ^ (1 / 1)] - 1

Calculating the above expression gives us the YTM as approximately 0.0057 or 0.57% when expressed as a percentage.

So, the annual yield-to-maturity of the bond is approximately 0.57%.

Knowee AI · Accepted Answer

The yield-to-maturity (YTM) of a bond is the internal rate of return (IRR) earned by an investor who buys the bond today and holds it until maturity. In other words, YTM is the total return anticipated on a bond if it is held until it matures.

YTM is expressed annually and it takes into account both the interest payments (if any) you receive periodically and the difference between the price you paid for the bond and the face value you receive back at maturity.

For a zero-coupon bond, the only cash flow is the face value you receive at maturity. There are no periodic interest payments. The formula to calculate the YTM of a zero-coupon bond is:

YTM = [(Face Value / Present Value) ^ (1 / Time to Maturity)] - 1

In this case, the face value is $100, the present value (or price of the bond today) is $99.43, and the time to maturity is 1 year.

So, the YTM = [(100 / 99.43) ^ (1 / 1)] - 1

Calculating the above expression gives us the YTM as approximately 0.0057 or 0.57% when expressed as a percentage.

So, the annual yield-to-maturity of the bond is approximately 0.57%.

A one-year zero coupon bond costs $99.43$99.43 today. Exactly one year from today, it will pay $100$100.What is the annual yield-to-maturity of the bond? (I.e., what is the discount rate one needs to use to get the price of the bond given the future cash flow of $100$100 in one year?)

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