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Both Bond Bill and Bond Ted have 11.8 percent coupons, make semiannual payments,

ID: 2652960 • Letter: B

Question

Both Bond Bill and Bond Ted have 11.8 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 7 years to maturity, whereas Bond Ted has 24 years to maturity.

If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (Do not round intermediate calculations. Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places (e.g., 32.16).)

%  

If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16).)

Requirement 1:

Explanation / Answer

Ans

Bond Bill Computation of Duration and Volatality Period DF Cash Flow DCF Proportion of Bond Value Proportion of Bond Value* Time (Semi AnnualPeriods) 1                    0.94 59                       55.71                    0.06                               0.06 2                    0.89 59                       52.60                    0.05                               0.11 3                    0.84 59                       49.66                    0.05                               0.15 4                    0.79 59                       46.89                    0.05                               0.19 5                    0.75 59                       44.28                    0.04                               0.22 6                    0.71 59                       41.81                    0.04                               0.25 7                    0.67 59                       39.47                    0.04                               0.28 8                    0.63 59                       37.27                    0.04                               0.30 9                    0.60 59                       35.19                    0.04                               0.32 10                    0.56 59                       33.23                    0.03                               0.33 11                    0.53 59                       31.37                    0.03                               0.35 12                    0.50 59                       29.62                    0.03                               0.36 13                    0.47 59                       27.97                    0.03                               0.36 14                    0.45 1059                    474.00                    0.47                               6.64 Duration                               9.90 Volatality of Price Duration/1+YTM 9.351%
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