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## Economics

 Basic Economics Macroeconomics Microeconomics Business Economics Econometrics International Economics Managerial Economics Game Theory Public Economics

It is now January 1, 2012; and you will need \$1,000 on January 1, 2016, in 4 years. Your bank compounds interest at an 8% annual rate?

(a) How much must you deposit today to have a balance of \$ 1,000 on January 1, 2016?

(b) If you want to make four equal payments on each January 1 from 2013 through 2016 to accumlate the \$1,000, how large must each payment be? (Note that the payments begin a year from today)

(c) If your father offers to make the payments find outd in Part b (\$221.92) or to give you \$750 on January 1, 2013 (a year from today), which would you choose? describe.

(d) If you have only \$750 on January 1, 2013, what interest rate, compounded annually for 3 years, must you earn to have \$1,000 on January 1, 2016?

(e) Suppose you can deposit only \$200 each January 1 from 2013 through 2016 (4 years). What interest rate, with annual compounding, must you earn to end up with \$1,000 on January 1, 2016?

(f) Your father offers to give you \$400 on January 1, 2013. You will then make six additional equal payments each 6 months from July 2013 through January 2016. If your bank pays 8% compounded semiannually, how large must each payment be for you to end up with \$1,000 on January 1, 2016?

Microeconomics, Economics

• Category:- Microeconomics
• Reference No.:- M948215

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