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Pablos portfolio consists of three bonds:

a 10-year zero-coupon bond with redemption value of $100,000, a 15-year coupon bond with Macaulay duration of 10.9994 and price of $33,114.06, and a 20-year par bond with redemption of $50,000 and annual coupon rate of 4.00%.

All prices and durations were calculated assuming an annual yield of 4.25%. The first-order Macaulay approximation of the price of this portfolio, when the interest rate fell to i, is $150,710.00. Find the following.

a) The price of the portfolio at the original rate of i0 = 4.25%. b) The Macaulay duration of the portfolio.

c) The new interest rate i, written as a percentage.