3 years zero coupon bond. face value $100 and present market value $75. What will be its Macualay Duration and Modified Duration?
When the yield of a bond exceeds it coupon rate, the price will be below 'par' which is usually $100.
yes
A bond that pays 1 coupon(s) of 10% per year, that has a market value of $1,102.05, and that matures in 19 years will have a yield to maturity of 8.87%. What does it mean? Well, bond investors don't just buy only newly issued bonds (on the primary market) but can also buy previously issued bonds from other investors (on the secondary market). Depending on whether a bond on the secondary market is bought at a discount or premium, the actual rate of return can be greater or lower than the quoted annual coupon rate. This is why bond investors need to look at YTM, which measures the bond's yield from the day the investor buys it to the day it expires, when the principal is paid to the bondholder.
Mortgage rates are calculated based on the 10-year Treasury bond. This mean that usually when bond rates go up so do interest rates and interest rates are part of what we pay when we pay our mortgage. Mortgage rates are also calculated based on how much of a loan we need to finance our home purchase. One will pay an interest rate on the loan amount.
If the 2 5 years are exactly the same with the exception of having coupons (same lender, same claims, same everything) then yes you should be able to. The trick is finding the right yield curve and discounting everything back to the present value. The coupons can be treated as mini zero-coupon bonds in their own right.
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.
Modified Duration
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
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.
A long coupon bond is 8.5 x 14.
A short coupon bond is 8.5 x 11.
Duration is the weighted average number of years necessary to recover the initial cost of the bond • It allows comparison of effective lives of bonds that differ in maturity, coupon. • It is used in bond management strategies particularly immunization. • Measures bond price sensitivity to interest rate movements, which is very important in any bond analysis Duration is a direct measure of interest rate risk: • The higher the duration, the higher the interest rate risk
When market interest rates exceed a bond's coupon rate, the bond will:
The zero coupon bond is more sensitive to change in rate (inflation) because the market value is not based on a fixed coupon.
A coupon bearing bond is a bond with a flat yield curve. This is a non interest bearing bond. There really would be no sense in purchasing a bond that does not gather any interest.
depends on the collateral supporting the bond.
Coupon rate