29. You are managing a portfolio of $2 million. Your target duration is 13.5 years, and you choose to invest in a combination of a zero coupon bond with maturity six years and a perpetuity, each currently yielding 5%. The amounts of investment in the zero coupon and the perpetuity should be:

1. $625,000 and $1,375,000 respectively
2. $1,375,000 and $625,000 respectively
3. $2,000,000 and $0 respectively
4. $1,000,000 and $1,000,000 respectively
5. None of the above