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A fund manager has known liabilities of £10,000 in each of the next four years.She has been asked to construct a portfolio comprising:
A 1-year,6% coupon bond,with par value £1000,that pays its coupon annually
A 3-year,7.5% coupon bond,with par value £1000,that pays its coupon annually
If the current yield to maturity (YTM) is 12%,calculate
a)
The amounts that should be invested in each bond in order to match portfolio durations;
b)
Explain briefly why a fund manager might want to undertake this type of strategy.