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3 years zero coupon bond. face value $100 and present market value $75. What will be its Macualay Duration and Modified Duration?

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How is the interest on a bond calulated?

The interest on a bond, often referred to as the coupon payment, is calculated by multiplying the bond's face value (or par value) by the coupon rate. For example, if a bond has a face value of $1,000 and a coupon rate of 5%, the annual interest payment would be $50. This payment is typically made semiannually, annually, or at other specified intervals, depending on the bond's terms. The interest calculation does not change over the life of the bond, unless it is a variable rate bond.


Does the yield to maturity on a premium bond exceed the bond's coupon rate?

No, the yield to maturity (YTM) on a premium bond does not exceed the bond's coupon rate. A premium bond is sold for more than its face value, which means the YTM will be lower than the coupon rate because the investor will receive the fixed coupon payments but will incur a loss when the bond matures and is redeemed at face value. Thus, the YTM reflects this lower return compared to the coupon rate.


What happen when the yield to maturity on a bond is greater than the coupon rate?

When the yield of a bond exceeds it coupon rate, the price will be below 'par' which is usually $100.


Explain the relationship between coupon rate and the yield to maturity?

The coupon rate is the fixed annual interest payment a bondholder receives based on the bond's face value, while the yield to maturity (YTM) represents the total return anticipated on a bond if held until its maturity, factoring in the bond's current market price, coupon payments, and time to maturity. When a bond's market price is below its face value, the YTM is higher than the coupon rate, indicating a better return for investors. Conversely, if the bond's market price is above its face value, the YTM is lower than the coupon rate. Therefore, the relationship between the two is inversely related to the bond's market price.


Is the current yield greater than the coupon rate for a discount bond?

yes

Related Questions

What duration does a 1 year corporated bond with a 5 percent coupon have relative to a t bill?

That would depend on the yield and the coupon frequency, but assuming the corporate bond and T-Bill have the same maturity (1 year) and the bond pays a semi-annual coupon, while the T-Bill pays all at maturity and has a lower yield that the bond, the duration on the corporate bond would be (slightly) lower. As an example; 1) A T-bill with 1 year Maturity an a yield of 0.20% would have a Modified Duration (the best to use) of close to 1.00 2) A 'Par' Corporate bond with a 5% semi-annual coupon would have a Modified Durationof 0.96 years. This effect will be more prominent with longer maturity bonds.


How is the interset on a bond calculated?

The interest on a bond, often referred to as the coupon payment, is calculated by multiplying the bond's face value (or par value) by the coupon rate. For example, if a bond has a face value of $1,000 and a coupon rate of 5%, the annual interest payment would be $1,000 x 0.05 = $50. This payment is typically made annually or semi-annually, depending on the bond's terms.


How is annual interest on a bond calculated?

Annual interest on a bond, often referred to as the coupon payment, is calculated by multiplying the bond's face value (or principal) by the coupon rate. For example, if a bond has a face value of $1,000 and a coupon rate of 5%, the annual interest would be $1,000 x 0.05 = $50. This amount is typically paid to the bondholder at regular intervals, such as annually or semi-annually, depending on the bond's terms.


The mathematical link between a bond's price and interest rate change is the?

Modified Duration


What is coupon rate?

Coupon rate is simply just the annual coupon payments paid by the issuer relative to the bond's face or par value.Coupon rate can be calculated by dividing the sum of the security's annual coupon payments and dividing them by the bond's par value. For example, a bond which was issued with a face value of $1000 that pays a $25 coupon semi-annually would have a coupon rate of 5%.Source: investopedia


What is the current yield of a 6.50 percent coupon corporate bond quoted at a price of 98.65?

To calculate the current yield of a bond, you divide the annual coupon payment by the bond's current market price. For a 6.50 percent coupon bond with a face value of $1,000, the annual coupon payment is $65. Given the bond is quoted at a price of 98.65 (or $986.50), the current yield is calculated as follows: Current Yield = ($65 / $986.50) × 100, which equals approximately 6.59%.


How is a current yield on a corporate bond calculated?

The current yield on a corporate bond is calculated by taking the bond's annual coupon payment and dividing it by the bond's current market price. The formula is: Current Yield = (Annual Coupon Payment / Current Market Price) × 100. This calculation provides an indication of the income generated by the bond relative to its market value, reflecting the yield an investor would receive if they purchased the bond at its current price.


How are interest on a bond calculated?

Know the bond's face value, then, find the bond's coupon interest rate at the time the bond was issued or bought, then, multiply the bond's face value by the coupon interest rate it had when issued, then, know when your bond's interest payments are made, finally, multiply the product of the bond's face value and interest rate by the number of months in between payments.


How is the interest on a bond calulated?

The interest on a bond, often referred to as the coupon payment, is calculated by multiplying the bond's face value (or par value) by the coupon rate. For example, if a bond has a face value of $1,000 and a coupon rate of 5%, the annual interest payment would be $50. This payment is typically made semiannually, annually, or at other specified intervals, depending on the bond's terms. The interest calculation does not change over the life of the bond, unless it is a variable rate bond.


How do you calculate a bonds coupon rate Par Value 1000 Sold for 964 years to maturity 8. Yield 6.7 and its annual.?

The coupon rate of a bond can be calculated using the formula: Coupon Rate = (Annual Coupon Payment / Par Value) x 100%. First, determine the annual coupon payment using the yield and the bond's price. Since the bond's price is $964 and the yield is 6.7%, the annual coupon payment can be estimated by multiplying the yield by the bond's price: $964 x 0.067 = $64.53. Thus, the coupon rate is ($64.53 / $1000) x 100% = 6.45%.


What is the size of a long coupon bond?

A long coupon bond is 8.5 x 14.


What is the size of the short coupon bond?

A short coupon bond is 8.5 x 11.