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Bank Monash quotes the 6-month zero rate as 19% per annum continuously compounded. The price of a 1-year bond (i.e., face value is 100) is

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Bank Monash quotes the 6-month zero rate as 19% per annum continuously compounded. The price of a 1-year bond (i.e., face value is 100) is 68. This 1-year bond provides a coupon of 6% per annum semi-annually. What is the face value of a 1-year zero coupon bond with price of 1000? Note: In your answer, (1) only input numerical value with 2 decimal points, and (2) do not input unit or symbol, such as $", km, and %". For example, if your answer is 22.20 dollar, present your answer as 22.20, but not $22.20. Answer: The correct answer is: 1578.01

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