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U.S. Treasury bills are available for purchase this week at the following prices (based upon $100 par value) and with the indicated maturity: $97.75, 182 days. (1) Calculate the bank discount rate (DR) on this bill if it is held to maturity. (2) What is the equivalent yield to maturity (sometimes called the bond-equivalent or coupon equivalent yield) on this Treasury bill

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Answer and Explanation:

The computation is shown below:

Given that,

Price = $97.75

Time = 182 days

Face value = $100

Based on the above information  

1) bank discount rate is  

= (Face value - price) ÷ Face value × 365 / Time

= ($100 - $97.75) ÷ 100 × (365 / 182)

= 0.0225 × 2.005494

= 0.0451 (or) 4.51%

2) equivalent yield to maturity

= (Face value ÷ price)^365 ÷ Time - 1

= ($100 ÷ $97.75)^365 ÷ 182 -1

= 0.04669 (or) 4.66%

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