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What is the duration of a bond with four years to maturity and a coupon of 8 percent paid annually if the bond sells at
What is the duration of a bond with four years to maturity and a coupon of 8 percent paid annually if the bond sells at par? What is the duration of a bond with two years to maturity if the bond has a coupon rate of 7 percent paid semiannually, and the market interest rate is 5 percent? I have set up tables to do this, but I am not coming out with the correct PV calculation. Please provide the actual values used to compute PV. Here is where I am on the first part.
What is the duration of a bond with four years to maturity and a coupon of 8 percent paid annually if the bond sells at par? | ||||
Price of bond=face value= | $1,000 | |||
Yearly cash flow from the bond | 8% | |||
Relative value of each payment = PV Payment/price of the bond | ||||
Contribution of each payment to the duration = Relative value X by years until payment occurs | ||||
Payment (R*facevalue) | Year | PV of payment | ||
$80 | 1 | 74.77 | ||
$80 | 2 | PV(8%, ?, ?) | ||
$80 | 3 | PV(8%, ?, ?) | ||
$1,080 | 4 | PV(8%, ?, ?) | ||
Duration = Total PV/par value | ||||
Duration = Total PV/Current price |
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