Angelo wins a lottery of $5 million. She wants to convert this lump-sum windfall into an annuity to live a comfortable life without having to work. An investment banker advises her to invest in a multi-cap international equity fund, which has conventionally returned 6 per cent annually and is expected to deliver similar returns in the future. i) Suppose today Angelo turns 40 years old and expect to live until 87 years. She also does not intend to leave any money for her heirs, and thus the FV = 0. What monthly payments can she expect her windfall from the lottery to deliver if she chooses to invest in the equity fund suggested by her bankers? [4 Marks] ii) If Angelo wants an annuity of $30,000 a month, what return must she expect her investments to generate annually so that she can live comfortably until the age of 95? [4 Marks]