(3%)  Question  Ms. Helen is working hard every day. She has been

(3%)

 Question 

Ms. Helen is working hard every day. She has been saving every month for 5 years an amount per month that represents a total sum of $52,500. Now she is planning her future, but she is still deciding what to do.  When she started working, she didn’t have a specific plan, but she has always dreamed of having a house in the valley. 

After her previous considerations Mr. Helen was thinking about an alternative plan, to make the most of her savings, and try to afford to buy a bigger property in the future. She was offered to join some different projects. The current interest rate is 0,5%, but as it is expected to grow in the future, she is very concerned, not only about the cashflows these projects will produce, but also about getting her investment back as fast as possible so that she can invest this money in another place. 

Calculate each of the following scenarios and then explain which of them is most interesting and why. Please show your workings for each option.

a) Investing $50,000 in a project that will produce cashflows of $5,200 per quarter for 9 years. 

b) Investing $40,000 in a project that will produce cashflows of $1,700 per month for 9 years. 

c) Investing $30,000 in a project that will produce cashflows of $18,000 per year for 9 years. 

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