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16 May, 14:13

A T-bill with face value $10,000 and 77 days to maturity is selling at a bank discount ask yield of 2.4%.

a. What is the price of the bill? (Use 360 days a year. Do not round intermediate calculations. Round your answer to 2 decimal places.)

b. What is its bond equivalent yield? (Use 365 days a year. Do not round intermediate calculations. Round your answer to 2 decimal places.) Bond equivalent yield %

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  1. 16 May, 18:03
    0
    Price of bill=$9948.66

    Bond equivalent yield = 10.96%

    Explanation:

    r=ytm=2.4%

    F = face value of bill=10000

    Step#01: Multiply discount rate to number of days to maturity

    .024 * 77 = 1.848

    Step#2: divide 1.848/360 to get daily interest factor, we have

    .005133

    Step #3: Subtract the above number from 1.

    1-.005133=.994866

    Step#4: Multiply the result by face value that is 10000$.

    10000 *.994866 = $9948.66 price of bill.

    Bond equivalent yield:

    =[ (Face value - price of bond) / 365] * d

    where d = number of days left

    = [ (10000-9948) / 365]*77

    = 10.96%
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