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Changes in interest rates (in basis points) are normally distributed with a mean of 0 and variance of 169. You have an investment which is

Changes in interest rates (in basis points) are normally distributed with a mean of 0 and variance of 169. You have an investment which is a Bond with Face Value of 1000, maturity of 5 years, coupon rate of 15% that yields 10%

Using the following values for a normal distributed variable with mean = 0 and variance = 1. Use 4 decimals in your calculations, and include all of them in your answer sheet.

P(X>=z) z
1.00% 2.3263
5.00% 1.6449
10.00% 1.2816
15.00% 1.0364
50.00% 0.0000

Calculate :

  1. Market Value of this Bond
  2. Duration of this Bond
  3. Modified Duration
  4. DEAR for a risk of 5%
  5. VAR for 4 days.

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