Question

Calculate the durations and volatilities of securities A, B, and C. Their cash flows are shown...

Calculate the durations and volatilities of securities A, B, and C. Their cash flows are shown below. The interest rate is 10%. (Do not round intermediate calculations. Round "Duration" to 4 decimal places and "Volatility" to 2 decimal places.)

Period 1 Period 2 Period 3 Duration Volatility
  A 100 100 160   years
  B 80 80 240 years
  C 70 70 230 years
0 0
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Answer #1


Period |Cashflow Pvf@ 10% Present value proportion of total value Duration Volatility SecurityA 100 0.90909 90.90909091 1000.8264582.6446281 160 0.75131120.2103681 293.7640872 0.309462916 0.3095 0.281329923 0.5627 0.409207161 1.2276 2.0997 1.91 Security B 80 0.90909 72.72727273 80 0.82645 66.11570248 240 0.75131 180.3155522 319.1585274 0.22787194 0.2279 0.2071563090.4143 0.564971751 1.6949 2.3371 3 2.12 Security O 70 0.90909 63.63636364 70 0.8264557.85123967 230 0.75131172.8024042 294.2900075 0.2162369160.2162 0.196579015 0.3932 0.587184069 1.7616 2.3709 2.16

Present value is calculated by multiplying the present value factor with cash flow.

The proportion of total value is the present value of each year divided by its total present value of all three years.

Duration is proportion multiplied by year.

Volatility is Duration/1+r or Duration/1.1

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