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An insurance company that administers pensions for retired. The only type of pension that it provides is a life annuity, that is, an amount fixed

An insurance company that administers pensions for retired. The only type of pension that it provides is a life annuity, that is, an amount fixed in development units (US) for life. Suppose the average worker contributes during 40 years, of these, 20 years are held by multi-fund A, which has an effective real return annual of 3% and another 20 years in multifund D that rents 1% simple per year in real terms. Said worker starts with a monthly salary of 50 US, of which he contributes only 10% mandatory and will actually grow at a monthly effective rate of 0.25%. At the end of the working life, the amount accumulated in the individual capitalization account of the (ICA) it is transferred by it to the insurance company. Based on this, the insurance company will offers an annuity in the US assuming an annual return of 0.5% real on the funds transferred. 1. How much of the total savings will come from the first 20 years in multi-fund A? 2. How much of the total savings will come from the second 20 years in multi-fund D? 3. What will be the approximate amount of total savings that the individual will have? 4. What will be approximately the replacement rate (or amount received from pension) compared to the last salary received?

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