What is the value today of the program tuition

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Question - You are considering a 3-year graduate degree program in art history offered in Italy; if you decide to go and are admitted to the program, you would begin the program 2 years from now. The current tuition for the program (expressed in USD for convenience) is $27,000 per year; you anticipate that the tuition will grow 3% per year for the foreseeable future, with the tuition paid at the beginning of each year. That is, the first tuition payment will be due in two years, the second in three years, etc.

You anticipate living expenses of $24,000 each year, paid as $2,000. In addition, you will have a one-time moving expense to Italy of $12,000 and a one-time moving expense back to the U.S. in 5 years of $15,000. That is, the first living expense and the one-time moving expense will be paid in two years. The return moving expense will be paid in 5 years.

You need to save money for the program. Starting next month, you will make an even monthly payment into the account for 23 months (so that the last payment into this account will come one month prior to the anticipated first tuition payment. Your opportunity cost of funds is 4% per year, compounded monthly.

What is the effective monthly rate implied by your opportunity cost of funds?

What is the effective annual rate implied by your opportunity cost of funds?

What is the value today of the program's tuition?

What is the value today of the expenses you will incur during the program (including both living and moving expenses)?

What is the monthly payment into the savings account that is required in order to pay for the program?

Reference no: EM132968997

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