present value zero coupon=1000/(1.08)31
Zero coupon bonds do not pay interest and are therefore sold at a steep discount to face value depending on the maturity date of the bond. Due to the time value of money, the discount on a 30 year zero coupon bond will be much greater than on a 10 year zero coupon bond. At maturity bondholders will receive the full face value of the bond which provides bondholders a return. For example, a 30 year zero coupon bond with a face value of $1,000 and sold for $500 would return a $500 profit after 30 years. Holders of zero coupon bonds can sell the bonds at any time before maturity. If an investor bought zero coupon bonds prior to a steep drop in interest rates, the value of the zero coupon bonds would increase and could be sold at a profit.
$10008.65
The interest payment is called the "coupon" and it is usually a fixed amount per year, which is set when the bond is issued. But when you buy a bond on the market for a price that is different from the original face value, the effective interest rate is called the "yield". The reasons why the yield might be different from the coupon rate are described in the related link called Bond yields and coupon.
If the yield curve is downward sloping, the yield to maturity on a 10-year Treasury coupon bond relative to that on a 1 year T-bond is the yield on the 10 year bond. It will be less than the yield on a 1-year bond.Ê
Coupon frequency refers to how often interest payments are made on a bond or other fixed-income security. It indicates the number of times per year that the issuer of the bond will pay interest to the bondholder. For example, a bond with a coupon frequency of semi-annual means that interest payments are made twice a year.
9.28
You would need to know a Yield To Maturity to answer this question.
To calculate interest on a bond, you need to know the bond's face value (or par value), the coupon rate, and the frequency of interest payments. The interest, or coupon payment, is determined by multiplying the bond's face value by the coupon rate and then dividing by the number of payment periods per year. For example, if a bond has a face value of $1,000 and a coupon rate of 5%, the annual interest would be $50, or $25 if paid semi-annually.
To calculate the Yield to Maturity (YTM) of the bond, we use the formula that equates the present value of future cash flows (coupon payments and face value) to the current price of the bond. The bond has an annual coupon payment of $80 (8% of $1,000) and a face value of $1,000 at maturity in 25 years. Since you purchased the bond for $900, the YTM will be higher than the coupon rate due to the discount. The exact YTM can be calculated using a financial calculator or spreadsheet, yielding approximately 9.06%.
Zero coupon bonds do not pay interest and are therefore sold at a steep discount to face value depending on the maturity date of the bond. Due to the time value of money, the discount on a 30 year zero coupon bond will be much greater than on a 10 year zero coupon bond. At maturity bondholders will receive the full face value of the bond which provides bondholders a return. For example, a 30 year zero coupon bond with a face value of $1,000 and sold for $500 would return a $500 profit after 30 years. Holders of zero coupon bonds can sell the bonds at any time before maturity. If an investor bought zero coupon bonds prior to a steep drop in interest rates, the value of the zero coupon bonds would increase and could be sold at a profit.
$10008.65
The interest payment is called the "coupon" and it is usually a fixed amount per year, which is set when the bond is issued. But when you buy a bond on the market for a price that is different from the original face value, the effective interest rate is called the "yield". The reasons why the yield might be different from the coupon rate are described in the related link called Bond yields and coupon.
It goes to the investor who buys the bond. A zero coupon bond is a bond in which, the investor need not pay any premium (coupon) above the face value of the bond while purchasing it. Let us say a company issues a $10,000 bond at a discount of 10% with zero coupon, it is enough if the investor pays $9000 to buy the bond. At the time of maturity he would get back $10,000. This 10% discount can be compared to the interest earned on the investment for the investor.
If the yield curve is downward sloping, the yield to maturity on a 10-year Treasury coupon bond relative to that on a 1 year T-bond is the yield on the 10 year bond. It will be less than the yield on a 1-year bond.Ê
Coupon payment = (100)(.035) = 3.5 PV coupon payments payments = $56.56 PV of bond = 3.34 Present value of bond = 56.56 + 3.34 = $59.90
A ten-year bond pays 11 % interest on a $1000 face value annually. If it currently sells for $1,195, what is its approximate yield to maturity
The "book yield" is a measure of a bond's recurring realized investment income that combines both the bond's coupon return plus its amortization. It is defined as the bond's Internal Rate of Return (IRR) of all its cash flows. The following example illustrates the concept of book yield. A $100 par bond having a 5% coupon to be paid annually at year end is purchased for a $95 purchase price at the beginning of the year. The bond is set to mature in three years. In this example, the book yield will be greater than the 5% coupon on the discount bond as the investor will receive both the 5% coupon and the difference between purchase price and maturity value (an additional $5). The book yield at purchase will be 6.90%, which is the internal rate of return or IRR of the cash flows. The $5 discount is amortized into income over the life of the bond and the book value of the bond is increased until it reaches its par value of $100 at maturity.