Suppose that pension fund PNG has $3.8B in estimated liabilities with duration D = 16 and convexity
Question:
Suppose that pension fund PNG has $3.8B in estimated liabilities with duration D = 16 and convexity C = 310 (with respect to BEY). (Note that these are liabilities, and therefore the actual duration and convexity faced by PNG have the opposite sign, i.e., they are negative.)
PNG is considering investing in a 30-year 3.10%-coupon bond with yield to maturity 3.40% and a 10-year 4.00%-coupon bond with yield to maturity 2.60%.
a) Compute the duration and convexity of the two bonds.
b) What position in the 30-year bond (and a money-market account) immunizes PNG's liabilities?
c) What is the dollar convexity of immunized position computed as immediately above?
d) What positions in the two bonds neutralize both the duration and convexity of PNG's liabilities? [This means that you should find the dollar amount invested in each of the two bonds so that, in combination with original liabilities, the overall portfolio has both zero dollar duration and zero dollar convexity.]
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill