# 10 tasks of financial mathematics

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# Description

Subject: 2. Simple Interest
1. How much money you need to put in the bank provided 15% to amass 50,000 rubles. 6 months; 1 year; 2 years 8 months.

DISCOUNTING
2. A bill (draft) was issued in the amount of 100,000 rubles. with payment of 15.10. Owner bill took into account it in the bank before 10.09. at a discount rate of 20%. Determine obtained taking into account the amount and the discount rate.

Subject: 3. Compound interest
3. Depositor put the bank under a complex rate of 18% per annum 3,000 rubles. What amount will be on the account of the depositor a) 3 months, b) one year, and c) after 3.5 years?
DISCOUNTING
4. The lender lends money to give a bill according to which two years later would be paid 5,000 rubles. How much should be given under this bill today, if for borrowed money interest is paid on the nominal rate of compound interest of 12% with a monthly accrual of interest?

Subject: 4. EQUIVALENT RATE
5. debt in the amount of 6 million. Rubles. the payment period which occurs within 5 years, sold at a discount to the complex interest rate of 15% per annum. Determine the size of the amount received and the amount of the discount. Compare the results of calculations using a simple 15% discount rate and a nominal quarterly discounting.

Subject: 5. FINANCIAL FLOWS
6. The company sells cars VAZ 2106 worth \$ 3,600. A loan of complex nominal annual rate of 12%, which must be repaid in equal monthly installments over 3 years. Determine the amount of the monthly payment, the amount of interest and plot extinction debt.

Subject: 6. Models inflation
7. The annual inflation rate is 20%. Bank rate of 25% per annum. Determine the actual annual rate. Calculate the equivalent interest rate.

Subject: 7. Models of securities transactions
BONDS
8.Obligatsii nominal value of 100 thousand. Rub. and the circulation period of 180 days have been purchased at the time of their release at the rate of 66.5 and sold in 30 days at the rate 88. To determine the profitability of the purchased bonds to maturity and current yield for the auction the sale for the estimated number of days in the year 360.
A
Ktsii
9.Kurs shares on July 11 amounted to: purchase 7300 rubles., Selling 8,000 rubles., And September 28, respectively, the purchase of 11,750 rubles., Selling 14,750 rubles. Determine the income derived from the purchase of 100 shares on July 11, and their subsequent sale on September 28 as well as the profitability of the operation of sale in the form of the effective rate of simple interest.

Subject: 8. Models of currency transactions
10. a) Conduct a comparison of the various options for the development of operations (at least 5) investment funds in the amount of 50,000 rubles. for a period of 2 years, taking into account the average annual inflation rate of 20% and plot changes over time accrued amounts. As a source of information, you can use data on bank deposits in rubles, US dollars, euro and other currency exchange rates at the beginning and end of the operation.
b) Build a financial transaction scheme according to the dynamics of the dollar exchange rate for September 1998.
Rate rub. for dollars., September 1998 buying / selling
1 10.88 / 12.8 7 17.93 / 21.94 13 9.6 / 11.42 19 12.4 / 16.4
2 12.8 / 19.9 8 14.85 / 23.52 14 9.6 / 11.42 20 12.4 / 16.4
3 14.62 / 17.35 9 18.01 / 15 21.52 10.26 / 14.75 21 14.4 / 18.4
4 17.93 / 10 21.94 11.79 / 14.85 11.72 16 / 15.53 22 13.4 / 16.4
5 17.93 / 11 21.94 10.97 / 12.87 17 10.3 / 12.45 23 14.5 / 16.2
6 17.93 / 21.94 12 9.6 / 11.42 18 10.3 / 24 14.6 14.5 / 16.2

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