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T wants to have a 50 : 50 mix in his portfolio between equity and debt. He started off with an investment of Rs 1 lakh each in equity and debt. In the first year equity gained by 10% while debt rose 5%. At the end of the first year if the portfolio has to be rebalanced then what action needs to be taken

Question

T wants to have a 50 : 50 mix in his portfolio between equity and debt. He started off with an investment of Rs 1 lakh each in equity and debt. In the first year equity gained by 10% while debt rose 5%. At the end of the first year if the portfolio has to be rebalanced then what action needs to be taken

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Solution

At the end of the first year, the value of the equity investment would be Rs 1 lakh + 10% of Rs 1 lakh = Rs 1.1 lakh. The value of the debt investment would be Rs 1 lakh + 5% of Rs 1 lakh = Rs 1.05 lakh.

The total value of the portfolio at the end of the first year would be Rs 1.1 lakh (equity) + Rs 1.05 lakh (debt) = Rs 2.15 lakh.

To maintain a 50:50 mix in the portfolio, the value of the equity and debt investments should be equal. That is, each should be 50% of Rs 2.15 lakh = Rs 1.075 lakh.

So, to rebalance the portfolio, T needs to move Rs 1.1 lakh - Rs 1.075 lakh = Rs 0.025 lakh (or Rs 2,500) from equity to debt. This would leave him with Rs 1.075 lakh in each of equity and debt, maintaining the desired 50:50 mix.

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