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
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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