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Suppose you are to receive the following cashflows in the future, at the times indicated below. (a) Assuming that you deposit all cashflows into
Suppose you are to receive the following cashflows in the future, at the times indicated below. (a) Assuming that you deposit all cashflows into a savings account that earns interest at a rate of 3.6% nominal, convertible 12 times per annum, what is the accumulated value of your savings in exactly 21 years time? Hint: Use Excel! Time from now (years) Cashflow Time from now (years) Cashflow 0.25 8,154 13 9,506 0.5 10,450 13.25 2,443 2.5 7,432 14 41,377 3 49,534 14.5 5,169 3.75 4,282 15 74,865 4 2,416 15.5 4,253 4.25 55,921 18 2.400 11 5,665 19.5 21,767 12.75 59,203 19.75 6,715 (b) Repcat part (a), but with the following interest / earning rates applying: i) = 7.3% [ii] 0 5) = 7.3% [ii] = 7.3% [iv] d = 7.6% (e) What does the interest / earning rate have to be, in order for the accumulated value in 21 years' time to be equal to $1 million? Give your answer in terms of i, the annual effective rate of interest, to 3 significant figures. (d) What does the interest / carning rate have to be, in order for the accumulated value in 21 years' time to be equal to $350,000? Give your answer in terms of i, the annual effective rate of interest, to 3 significant figures.
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