A senior treasury manager is evaluating a government dated security to optimize a portfolio. The security has a face value of 1,00,00,000 units, a remaining maturity of 15 years, and a semi-annual coupon rate of 9% per annum. Currently, the required yield for this grade is 10% per annum, compounded semi-annually. Calculate the current market price of this government dated security using the discounted cash flow method and determine the relationship between the coupon rate, current yield, and yield to maturity (YTM).

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Mathematics · Interest and Bonds

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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The price is 92,31,376 units and Coupon Rate is less than Current Yield which is less than YTM.

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Answer 1

The price is 92,31,376 units and Coupon Rate is less than Current Yield which is less than YTM.

Answer 2

The price is 1,00,00,000 units and Coupon Rate is equal to Current Yield which is equal to YTM.

Answer 3

The price is 92,31,450 units and Coupon Rate is greater than Current Yield which is greater than YTM.

Answer 4

The price is 1,07,68,550 units and Coupon Rate is less than Current Yield which is less than YTM.

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