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Problems under Time Value of Money

One of the projects the US loan would fund is to build earthquake-resistant buildings. The projectwill begin in March 2013, last for two years and is expected to have the following expenditures:start-up costs of $200,000 paid at the beginning of the first month; rental of equipment to be paidat the beginning of the month that will be $100,000 each month for the first year, but $50,000 each month for the second year;

material costs to be paid at the end of each month that will be $30,000; personnel costs of $100,000 to be paid at the end of each month; and end-of-project clean-up costs of $100,000 that will be paid at the end of the last month (February 2015). Suppose that with thefiscal cliff looming in March 2013, Secretary Kerry is only willing to allocate $3,000,000 of the US loan at the start of the project due to this concern. These funds are putinto an account that pays interest at a stated annual rate of 12 percent, compounded monthly.Calculate how much this project needs at the beginning of the second year that would benecessary to cover its expected expenditures. 

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