Financial calculations. MEI tasks
Replenishment date: 05.07.2017
Content: Financial calculations. Tasks-control.doc (351.5 КБ)
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"Financial computing. Tasks
1. A deposit of 15000 rubles was placed at 15% per annum on January 15 and withdrawn on August 2. Determine the accrued amount and interest on the deposit under the German system.
2 rubles placed on January 20000 and withdrawn on September 2. Determine the difference in the amount of interest on the contribution based on the German, French and English systems
3. When buying household appliances in a store of the firm "MIR" the buyer was granted a loan for 30000 rubles at 20% half-yearly. For two months the buyer paid 5000 rubles each, and at the end of the third month decided to pay for the purchase in full. How much did the buyer pay in the final settlement? Will the nature of debt accrual change after the first payment?
4. Contribution of 300 rubles. was placed with the bank on June 10 at the rate of 60% per annum. When the deposit was re-requested on September 20, the depositor was charged interest in the amount of 50 rubles. Determine what practice of calculating interest was used by the bank.
5. For an amount of 1000 rubles, build a graph of changes in the accrued amount for simple and compound interest. Take a period of six months, a year, two, four years as reference points. Compare the results, draw conclusions.
6. Determine the compound interest and the accrued amount if 15000 rubles are placed for three years at the annual compound interest rate i = 20%.
7. At the birth of the grandson, the grandmother opened an account for 1000 rubles at 14% per annum. How much will the grandson receive on the day of majority and what is the compound interest on the deposit?
8. A loan of 15000 rubles was issued for 2 years and 120 days at 15% compound annual interest. Determine the amount of debt at the end of the term by general and mixed methods.
9. What is the amount of debt in 23 months, if its initial value is 20000 rubles, the rate is 18% per annum, accrued on a quarterly basis? Apply general and mixed methods.
10. For a nominal rate of 15% and a quarterly charge, determine the size of the effective rate.
11. Determine the nominal interest rate with interest on a quarterly basis, which is equivalent to the nominal rate of 20%, calculated every six months.
12. The monthly rent is 1000 rubles. The annual rate of simple interest is 15%. Ivanov paid 12000 rubles in advance for the year in January. Petrov performed the same operation in December, and Sidorov in June. Assess the effectiveness of payments.
13. For five years, the client contributed 1000 rubles annually to the accumulative insurance fund. According to the terms of the contract, in the case of an agreed special case, the client receives 80% of the accumulated amount. At the end of the fifth year, this incident occurred. Annual rate 15%. How much will the client receive?
14. The meeting of shareholders decided to create an accumulation fund for the acquisition of real estate. Determine the amount of annual payments at a complex rate of 18% to accumulate $ 500000 after five years.
15. Determine the accrued amount of annual annuity if, with a monthly charge at a nominal rate of 18%, a one-time payment is 100000 rubles.
16. To buy an apartment, citizen Ivanov took out a bank loan of 50000 US dollars for a period of five years at 18% per annum. Determine the amount of annual payments.
17. Loan in the amount of 1000000 rubles, issued for five years at a nominal rate of 15% per annum. The debtor must pay the debt together with interest in equal installments. Determine the amount of monthly payments and the total amount of all payments.
18. The funds are transferred to the fund in the form of a permanent annual post-numerando annuity for five years. The size of a one-time payment is 100000 rubles. Interest is calculated continuously with a growth rate of 18%. Find the size of the fund at the end of the term.
19 Four financial transactions Q1, Q2, Q3, Q4 and four possible outcomes are given. The first operation corresponds to string N, the second - N + 1, etc., where N is the number of your variant. Find the Pareto optimal operation if the probabilities of outcomes are constant and equal, and the weighting formula is.
In conditions of complete uncertainty, choose the best operation based on the principles of Wald, Savage, Hurwitz () and Laplace.
Operation No. 1 outcome 2 outcome 3 outcome 4 outcome
8 1 3 6 8
9 3 4 7
1. A deposit of 15000 rubles was placed at 15% per annum on January 15 and withdrawn on August 2. Determine the accrued amount and interest on the deposit under the German system.
2 rubles placed on January 20000 and withdrawn on September 2. Determine the difference in the amount of interest on the contribution based on the German, French and English systems
3. When buying household appliances in a store of the firm "MIR" the buyer was granted a loan for 30000 rubles at 20% half-yearly. For two months the buyer paid 5000 rubles each, and at the end of the third month decided to pay for the purchase in full. How much did the buyer pay in the final settlement? Will the nature of debt accrual change after the first payment?
4. Contribution of 300 rubles. was placed with the bank on June 10 at the rate of 60% per annum. When the deposit was re-requested on September 20, the depositor was charged interest in the amount of 50 rubles. Determine what practice of calculating interest was used by the bank.
5. For an amount of 1000 rubles, build a graph of changes in the accrued amount for simple and compound interest. Take a period of six months, a year, two, four years as reference points. Compare the results, draw conclusions.
6. Determine the compound interest and the accrued amount if 15000 rubles are placed for three years at the annual compound interest rate i = 20%.
7. At the birth of the grandson, the grandmother opened an account for 1000 rubles at 14% per annum. How much will the grandson receive on the day of majority and what is the compound interest on the deposit?
8. A loan of 15000 rubles was issued for 2 years and 120 days at 15% compound annual interest. Determine the amount of debt at the end of the term by general and mixed methods.
9. What is the amount of debt in 23 months, if its initial value is 20000 rubles, the rate is 18% per annum, accrued on a quarterly basis? Apply general and mixed methods.
10. For a nominal rate of 15% and a quarterly charge, determine the size of the effective rate.
11. Determine the nominal interest rate with interest on a quarterly basis, which is equivalent to the nominal rate of 20%, calculated every six months.
12. The monthly rent is 1000 rubles. The annual rate of simple interest is 15%. Ivanov paid 12000 rubles in advance for the year in January. Petrov performed the same operation in December, and Sidorov in June. Assess the effectiveness of payments.
13. For five years, the client contributed 1000 rubles annually to the accumulative insurance fund. According to the terms of the contract, in the case of an agreed special case, the client receives 80% of the accumulated amount. At the end of the fifth year, this incident occurred. Annual rate 15%. How much will the client receive?
14. The meeting of shareholders decided to create an accumulation fund for the acquisition of real estate. Determine the amount of annual payments at a complex rate of 18% to accumulate $ 500000 after five years.
15. Determine the accrued amount of annual annuity if, with a monthly charge at a nominal rate of 18%, a one-time payment is 100000 rubles.
16. To buy an apartment, citizen Ivanov took out a bank loan of 50000 US dollars for a period of five years at 18% per annum. Determine the amount of annual payments.
17. Loan in the amount of 1000000 rubles, issued for five years at a nominal rate of 15% per annum. The debtor must pay the debt together with interest in equal installments. Determine the amount of monthly payments and the total amount of all payments.
18. The funds are transferred to the fund in the form of a permanent annual post-numerando annuity for five years. The size of a one-time payment is 100000 rubles. Interest is calculated continuously with a growth rate of 18%. Find the size of the fund at the end of the term.
19 Four financial transactions Q1, Q2, Q3, Q4 and four possible outcomes are given. The first operation corresponds to string N, the second - N + 1, etc., where N is the number of your variant. Find the Pareto optimal operation if the probabilities of outcomes are constant and equal, and the weighting formula is.
In conditions of complete uncertainty, choose the best operation based on the principles of Wald, Savage, Hurwitz () and Laplace.
Operation No. 1 outcome 2 outcome 3 outcome 4 outcome
8 1 3 6 8
9 3 4 7