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# 11 tasks Fin. mathematics

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**22.05.2013**

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# Description

Task №1 Accretion of simple and complex interest rate

Customer contributions put in the bank for deposit in the amount of 10,000 p. under 10% per annum for 5 years. Determine the amount accrued by the client will be in your account at the end of the contract. Consider the case of simple and complex interest rates.

Problem №2 Mathematical discounting in cases of simple and complex interest rate

The loan is provided at the rate of 7% per annum. Determine the amount of the loan if the lender gets 3 years 150 thousand. P. in case of simple and complex percent.

Problem №3 Bank accounting for simple and complex discount rate

The promissory note in the amount of 10,000 p. presented at the bank for 3 months until maturity. Determine the amount paid to the owner of the bill, and the amount of the discount, if a bank uses a simple interest rate of 20% per annum.

Problem №4 equivalence of financial obligations

Time of payment of the bill is 2 years. The effectiveness of accounting transactions in the bank should be 15% per annum for a simple interest rates. Determine the equivalent value of the discount rate.

Problem number 5 Accretion including tax calculation in the case of simple and compound interest

The tax rate on interest is 15%. Interest rate 15% per annum. Deposit period 2 years. The initial loan 2000 thousand. P. Determine the amount accrued based on the payment of taxes for different interest calculation.

Problem number 6 Accretion of inflation in the case of calculation of simple and compound interest

The investor intends to 8 th. P. for three years in a bank which guarantees the payment of 15% per annum with quarterly complex capitalization. The expected average inflation rate is 2%. Rate the economic feasibility of such placement of funds. What is the real income or loss adjusted for inflation will be a contributor.

Objective number 7 Accreted constant amount of financial rent

Payments quantity 5000 p. entered each year for 5 years, with interest accrued thereon at the rate of a complicated 15% per annum. To determine the amount of accrued and annuity compounding factor.

Task number 8 Modern ongoing financial cost of rent

Annual Financial rent, for 15 years, is for the company 1000 p. Interest of 10% per annum. Find the present value of such annuity.

Objective number 9 Repayment of debt in installments

A loan of 1,500 thousand. P. brought under 20% per annum for 3 years. Create a schedule of annual debt if the debt is repaid in equal installments.

Problem number 10 Determination of parameters constant financial annuity postnumerando

What is required for a period of accumulation of 10 million. P. provided that the monthly payment of 1 million. p., and on the accumulation of accrued interest at 15% per annum.

Problem number 11 Bonds

Ten bonds with par value of 500 rubles. and a maturity of 2 years bought at the rate of 80 Interest on bonds is payable at maturity of the complex rate of 5% per annum. Determine the total revenue and profitability of the financial transactions in the form of an effective annual interest rate. To solve the same problem in the case of the zero coupon.

# Additional information

10 pages