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13.169 Answer Previous page The following information will be used for the next

ID: 2780398 • Letter: 1

Question

13.169 Answer Previous page The following information will be used for the next 7 questions An investor is considering investing in a 4 year, 8% coupon bon (semi-annual) that has a par value of $100 The yield on this bond is 10%, continuously compounded. Based on the previous calculations, if there is a .5% change in the price of the bond, how much is the price impacted? (ün dollars, to 2 decimal places) Take all previous calculations to 3 decimal places to ensure accuracy 1.613 Answer The following information will be used for the next 7 questions An investor is considering investing in a 4 year, 8% coupon bon (semi-annual) that has a par value of $100. The yield on this bond is 10%, continuously compounded Based on the previous calculations, if there is a-3.0% change in the price of the bond, how much is the price impacted? (in dollars, to 2 decimal places)

Explanation / Answer

Hence change =

Bond Price $919.50 $934.84 If Yield Changes By -0.50% Face Value                  1,000 1000 Bond Price Will Change By 15.34 Coupon Rate 8.00% 8% Life in Years 4                        4 Modified Duration Predicts 15.18 Yield 10.52% 10% Convexity Adjustment 0.15 Frequency 2 2 Total Predicted Change 15.34 Macaulay Duration                    3.48 Actual New Price $934.84 Modified Duration                    3.30 Predicted New Price $934.84 Convexity                  13.44 Difference ($0.00) Period Cash Flow PV Cash Flow Duration Calc Convexity Calc 0 ($919.50) 1                  40.00                  38.00                  38.00                  68.60 2                  40.00                  36.10                  72.21                195.52 3                  40.00                  34.30                102.90                371.50 4                  40.00                  32.59                130.34                588.23 5                  40.00                  30.96                154.79                838.26 6                  40.00                  29.41                176.47              1,114.94 7                  40.00                  27.94                195.59              1,412.32 8              1,040.00                690.20              5,521.59            44,853.07                        
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