You have a cash outflow to make at the end of year 4. You can invest in zero coupon bonds maturing in year 3 and in year 8. To immunize the portfolio, the proportion in the 3 year bonds would be

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To immunize a portfolio, the duration of the portfolio must match the duration of the liability. Since the liability is at the end of year 4, you need to balance the durations of the 3-year and 8-year bonds. Using the formula for duration matching, the proportion in the 3-year bonds is 0.8.

You Have a Cash Outflow to Make at the End