Test work No. 1 (Option 1)

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Control work No. 1 in the discipline "Financial calculations" (Option 1) 1. The entrepreneur placed in the bank a contribution in the amount of 500 thousand rubles. At 10% per annum with a quarterly payment of simple interest. How much will he receive each quarter? How will the amount change to receive when paying simple interest each month? 2. On April 10, the businessman received a loan in a bank at a simple discount rate of 20% per annum and must return on November 18 the same year 750 thousand rubles. Determine in exact and approximate ways the amount received by the client. 3. The entrepreneur received a loan in a bank in the amount of 20 million rubles. For a period of 5 years on the following terms: for the first two years, the interest rate is 25% per annum, for the remaining 3 years the rate is 23% per annum. Find the income of the bank for 5 years, if compound loan interest is accrued quarterly. 4. Bill of 800 thousand rubles. Is accounted for 2 years before maturity. How much will the bearer of a bill receive when accounting for a complex discount rate of 20% per annum? 5. The bank accounts for the bill 300 days before maturity at a complex discount rate of 10% per annum with a temporary base of 360 days. What simple annual interest rate should be applied when granting a loan if a temporary base of 365 days is used and the bank wants to receive the same income? 6. Three payments: $ 10,000, maturity on May 15; $ 20,000, maturity on June 15; $ 15,000, the maturity date of August 15 is replaced by one payment with maturity on August 1, based on a simple interest rate. Determine the amount of the new payment. 7. Interest is compounded on the deposit: a) every six months; B) quarterly; C) monthly. Calculate the annual nominal interest rate at which the real increase in capital occurs, if the quarterly rate of inflation is 2%. 8. The bank deposited $ 5,000, the term of the deposit is six months, the simple loan rate is 5% per annum. The tax rate for accrued interest is 3%. Determine the accrued amount, taking into account the interest tax and the real profitability of the financial transaction. 9. The insurance company entered into an agreement with the company for 5 years, setting an annual insurance premium in the amount of 800 thousand rubles. Insurance premiums are placed in the bank at a compound interest rate of 10% per annum, accrued monthly. Determine the amount that the insurance company will receive under this contract under the following conditions: a) contributions are received at the end of the year; B) contributions are received in equal shares at the end of each half-year (400 thousand rubles each); C) contributions are received in equal shares at the end of each quarter (200 thousand rubles each). 10. Once a half a year, a contribution to the bank is made according to the post-numerando scheme in the amount of $ 500. The bank monthly calculates compound interest at a rate of 8% per annum. What amount will be on the account in 5 years?null

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