Question

7. On December 8, 2017, Cecilia buys a T-Bill with a face value of $35,000 maturing on February 14, 2018. She pays $34,174.13. (a) Find Cecilias annualized yield rate. (b) Find the simple (annual) rate of discount on the T-Bill (c) On January 8, 2018, Cecilia will sell the T-Bill to Delila at a price that provides Delila with a simple (annual) discount rate of 14% i. How much will Delila pay to Cecilia? ii. Find Cecilias annualized yield

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ANSWER A):

Cecilia pays 34174.13 for the T Bill having face value of 35000 maturing on 14 feb

Annualized yield rate = (Face value - Amount paid for t bill) divided by Face value of T Bill

= (35000- 34174.13 ) / 35000

=0.023596 this yield is upto 14 feb from 8 december that is for 69 days

so for calculating annualized yield this yield has to be divided by 69 & multiplied with 365 days , so as to arrive at the annual yield on T Bill

=(0.023596 divided by 69days and multiplied with 365 days) multiplied by 100

Annual yield on T Bill = 12.482%

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