The yield to maturity (YTM) of a bond is the internal rate of return (IRR) if the bond is held until maturity. In other words, YTM can be defined as the discount rate at which the sum of all future cash flows (both interest and principal) is equal to the current price of the bond.

For the given bond:

1. Face value (FV) = 100
2. Coupon rate = 8%
3. Maturity period = 2 years
4. The bond is redeemable at par and sold at par value, which means the current price of the bond (PV) is also 100.

The bond pays annual interest of 8% * 100 = 8. Since the bond is held until maturity, there will be two future cash flows:

1. At the end of the first year, the bond pays interest of 8.
2. At the end of the second year, the bond pays interest of 8 and the face value of 100.

The YTM is the discount rate 'r' that satisfies the following equation:

PV = Cash flow1 / (1+r) + Cash flow2 / (1+r)^2

Substituting the given values:

100 = 8 / (1+r) + (8+100) / (1+r)^2

This is a quadratic equation in terms of 1/(1+r), and can be solved to find the value of 'r'. However, in this case, since the bond is sold at par value and redeemable at par, the YTM is simply the coupon rate, which is 8%.

So, the yield to maturity of the bond is 8%.

Question

The yield to maturity (YTM) of a bond is the internal rate of return (IRR) if the bond is held until maturity. In other words, YTM can be defined as the discount rate at which the sum of all future cash flows (both interest and principal) is equal to the current price of the bond.

For the given bond:

1. Face value (FV) = 100
2. Coupon rate = 8%
3. Maturity period = 2 years
4. The bond is redeemable at par and sold at par value, which means the current price of the bond (PV) is also 100.

The bond pays annual interest of 8% * 100 = 8. Since the bond is held until maturity, there will be two future cash flows:

1. At the end of the first year, the bond pays interest of 8.
2. At the end of the second year, the bond pays interest of 8 and the face value of 100.

The YTM is the discount rate 'r' that satisfies the following equation:

PV = Cash flow1 / (1+r) + Cash flow2 / (1+r)^2

Substituting the given values:

100 = 8 / (1+r) + (8+100) / (1+r)^2

This is a quadratic equation in terms of 1/(1+r), and can be solved to find the value of 'r'. However, in this case, since the bond is sold at par value and redeemable at par, the YTM is simply the coupon rate, which is 8%.

So, the yield to maturity of the bond is 8%.

Knowee AI · Accepted Answer

The yield to maturity (YTM) of a bond is the internal rate of return (IRR) if the bond is held until maturity. In other words, YTM can be defined as the discount rate at which the sum of all future cash flows (both interest and principal) is equal to the current price of the bond.

For the given bond:

1. Face value (FV) = 100
2. Coupon rate = 8%
3. Maturity period = 2 years
4. The bond is redeemable at par and sold at par value, which means the current price of the bond (PV) is also 100.

The bond pays annual interest of 8% * 100 = 8. Since the bond is held until maturity, there will be two future cash flows:

1. At the end of the first year, the bond pays interest of 8.
2. At the end of the second year, the bond pays interest of 8 and the face value of 100.

The YTM is the discount rate 'r' that satisfies the following equation:

PV = Cash flow1 / (1+r) + Cash flow2 / (1+r)^2

Substituting the given values:

100 = 8 / (1+r) + (8+100) / (1+r)^2

This is a quadratic equation in terms of 1/(1+r), and can be solved to find the value of 'r'. However, in this case, since the bond is sold at par value and redeemable at par, the YTM is simply the coupon rate, which is 8%.

So, the yield to maturity of the bond is 8%.

A bond with a face value o 100, with coupon rate of 8% and maturity period of two years and redeemable at par is sold at par value. Calculate it's yield to maturity.

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