1.- A company has the following obligations: $ 900 for a 12-month term; $ 1,300 for 18 months and $ 1,800 for 24 months. You want to replace them with a single payment today

a) What will be the value of this payment, considering an interest rate of 15% compounded semi-annually?

b) If, in the same problem, the company gets its creditors to agree to consolidate its three debts to pay them off at the end of 24 months, what will be the value of this payment?

2. Calculate the number of compounding periods and the interest rate, per compounding period, of a capital placed at a rate of 14% per year, compounded semiannually for 6 years and 9 months.

3.- A document of $ 4,000, signed today for 6 years and 9 months, with an interest rate of 15% per annum, compounded semiannually from its subscription, after 2 years and 6 months from the date of subscription is negotiated with the following alternatives: a) an effective interest rate of 18%; b) a 15% annual rate, compounded semi-annually and c) a 12% annual rate compounded quarterly. Calculate the present value or price as of the trade date for each alternative.

4.- A father, at the birth of his son, begins to make a series of monthly deposits of $ 200 in a financial institution that recognizes an interest rate of 6% per year, compounded monthly. Calculate how much you will have accumulated when your child turns 18. Calculate the interest generated by the operation.

5.- The company EDU S.A wishes to accumulate a fund of $ 90,000 to replace machinery, through quarterly deposits for 7 years in a financial institution that recognizes an interest rate of 6% per year, compounded quarterly. Calculate the value of the quarterly deposit.

6.- EDU S.A. receives a loan of $ 35,000 for a 10-year term for the acquisition of an apartment, committing to pay monthly installments at an interest rate of 9% per year, compounded monthly. Calculate the value of the monthly fee. Calculate the interest you should pay