A one-month bill for $100,000 is issued at a discount of $1000. What is:

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A one-month bill for $100,000 is issued at a discount of $1000. What is:

a) the rate of discount?

b) the equivalent yield?

c) the price at which the bill will trade with two weeks remaining to maturity (market interest rates unchanged)?

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a) the rate of discount =12.17% Discount

$100,000 original price
$ 1000 discount
$ 99,000     sale price

1000*365/30 = 12.17% Discount

b) the equivalent yield =0.1228 =12.28 %

( $ 100,000- Purchase price/ Purchase price) x 365/ Days of maturity

(100000-99000/990000) * 365/

(1000/99000) *365/28

=.010101*365/28

=0.1228 =12.28 %

c)the price at which the bill will trade with two weeks remaining to maturity (market interest rates unchanged =$ 99,529.91

pice = $ 100,000/(0.1228*12/52)+1

= $ 100,000 / 0.004709+1

= $ 100,000 / 1.004709

= $ 99,529.91

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