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7. Let's assume that one of your dreams is to invest in the purchase of an apartment in 7 years from now; you estimate that

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7. Let's assume that one of your dreams is to invest in the purchase of an apartment in 7 years from now; you estimate that the "down payment" at that time will be $ 45,000. How much do you need to deposit at the end of each year in the next 7 years to accumulate the $ 45,000 if you can earn 8% annually compound semi-annually on your deposits? (5 points) 8. Juan wants to open an account into which he hopes to deposit the following at the beginning of each year: 1: $ 15,200; 2: $ 11,300; 4: $ 10,000. If the rate of return you get in a bank is 7%, computed annually, how much will you have at the end of year 5 in your investment? (Hint: draw the timeline not to fail this problem) (5 points) 9. Jaime wants to invest $ 1,200 in an account at the beginning of each of the next 15 years at a 10% per annum computed semi-annually. The total value of the account will then be left to compose for 10 additional years at an annual 12% computed annually and Jaime may receive certain amount at the end of each of the last 10 years. How much could Jaime get to end of each year for the last 10 years? (6 points)

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