In: Finance
Mary Hudson, CFA, is a bond analyst of Baker Street Fixed Income Portfolio, a %15 billion fixed income mutual fund specializing in the U.S. fixed income market. John Watson Ph.D. one of the lead portfolio managers, has tasked Mary to analyze the interest rate sensitivity of a five year bond issued by Morgan Company. The bond has a coupon rate of 5% and pays coupon semi-annually. The yield to maturity is 6%. The semi-annual Macaulary duration is 8.9434 and the semi-annual convexity is 89.2189. If the yield to maturity falls to 4.5% what is the predicted price using annual modified duration and annual convexity
Round your answer to two decimal points:
Semi annualized macualay duration is first converted to modified duration. Then, semi annualized modified duration and semi annualized convexity is converted into annualized numbers. Then change in PV of bond is calculated in percentage terms. Previous PV is calculated to add the resulted percentage.
Full calculation is shown in the pic. (please provide feedback:)