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1 July, 01:20

Assume that a $1,000,000 par value, semiannual coupon US Treasury note with five years to maturity has a coupon rate of 6%. The yield to maturity (YTM) of the bond is 11.00%. Using this information and ignoring the other costs involved, calculate the value of the Treasury note:

a.) $841,635.85b.) $715,390.47c.) $530,230.59d.) $1,009,963.02Based on your calculations and understanding of semiannual coupon bonds, complete the following statement:When valuing a semiannual coupon bond, the time period variable (N) used to calculate the price of a bond reflects the number of (Options are: a.) 12-month, b.) 4-month, c.) annual, d.) 6-month) periods remaining in the bonds life.

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Answers (2)
  1. 1 July, 01:53
    0
    First question a.) $841,635.85

    Second question d.) 6 - month

    Explanation:

    FV = 1,000,000

    PMT = 30,000

    rate = 5.5%

    N = 8

    use PV function in business calculator

    The Excel PV function is a financial function that returns the present value of an investment. You can use the PV function to get the value in today's dollars of a series of future payments, assuming periodic, constant payments and a constant interest rate. Get the present value of an investment. present value.
  2. 1 July, 03:15
    0
    Answer: the price value of the treasury note

    = $815,205.15

    ✓ 6 month period

    When valuing a semi-annual coupon bond, the time period n used to calculate the price of bond reflects the number of "6month" periods remaining in bond life.

    Explanation:

    Using the price of bond formula below:

    PV = [C * 1 - (1 + r) ^-n / r] + FV / (1+r) ^n

    C = coupon rate = 6% of par value

    6% * 1,000,000 = $60,000

    FV = face value = $1,000,000

    YTM / r = 11% = 0.11

    n = number of years to maturity = 5

    PV = 60,000 * 1 - (1+0.11) ^-5 / 0.11 + 1,000,000 / (1+0.11) ^5

    PV = 60,000 * 1 - (1.11) ^-5 / 0.11 + 1,000,000 / (1.11) ^5

    =60,000 * (1 - 0.593451328) / 0.11 + 1,000,000 / 1.68505816

    = 60,000 * (0.406548672) / 0.11 + 593,451.326

    = (60,000 * 3.69589702) + 593,451.326

    PV = $ (221,753.821 + 593,451.326)

    PV = $815,205.147 as the price value of the treasury.

    ✓ semiannual coupon bond means two coupon rate payments made in a year.

    We have two "6months" in a year.

    This means that the first interest rate amount is paid in the first 6 months while the other interest rate payment is made in the other 6months.
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