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31 December, 04:04

A 10 year 7% municipal bond, quoted on a 5.00 basis, is priced at 104. A 10 year 6% municipal bond, quoted on a 5.00 basis, is priced at 101. What is the price of a 10 year, 6.40% municipal bond, quoted on a 5.00 basis?

A. 101.25

B. 101.80

C. 102.05

D. 102.20

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Answers (1)
  1. 31 December, 04:24
    0
    D. 102.2

    Explanation:

    Using a simultaneous equation

    Since the year is constant

    We will use the the basis and municipal bond as our variables

    So equation 1 = 7x+5y=104

    Eqn ii = 6x + 5y = 101

    Using eliminating method

    X=3

    Substitute for x in equation 1 to get the value of y

    7 (3) + 5y=104

    5y=104-21

    Y=16.6

    To get the price for the percent of 6.40 at 5% basis substitute for the value of X and Y respectively in the both equation

    6.4x+5y=?

    6.4 (3) + 5 (16.6) =

    19.2+83=102.2
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