natural log

  1. math_celebrity

    Determine whether the statement is true or false. If 0 < a < b, then Ln a < Ln b

    Determine whether the statement is true or false. If 0 < a < b, then Ln a < Ln b We have a logarithmic property that states: ln(a) - ln(b) = ln (a / b) We're given a < b, so (a / b) < 1 Therefore: ln (a / b) < 0 And since ln(a) - ln(b) = ln (a / b) Then Ln(a) - Ln(b) < 0 Add Ln(b) to...
  2. math_celebrity

    What is the annual nominal rate compounded daily for a bond that has an annual yield of 5.4%? Round

    What is the annual nominal rate compounded daily for a bond that has an annual yield of 5.4%? Round to three decimal places. Use a 365 day year. Set up the accumulation equation: (1+i)^365 = 1.054 Take the natural log of each side 365 * Ln(1 + i) = 1.054 Ln(1 + i) = 0.000144089 Use each...
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