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Problem number 1
Conditions: You have decided to put the money in the bank. Bank charges an annual 7.5% compound interest per annum. How much money will be in your account within 2 years, 4 years, 5 years, If you have for this purpose a sum of 6 thousand rubles?
Problem number 2
Terms: The bill is 100 rubles. issued January 10, 1993 with a maturity date of October 10, 1993. Interest is charged on the bill on the basis of 12% per annum. If the bill is considered a May 10, 1993 at a discount rate of 10%, what is the redemption value of the promissory note (the exact number of days between January 10 and October 10 equal 273 days, the number of days in a year - 360)?
Problem number 3
Terms: Find a value of accrued investment if invested 100 thousand rubles for 7 years at a nominal rate of 20% per annum?
Calculations were carried out for:
a) accrual once a year;
b) charging twice a year;
c) accrual quarterly.
Problem number 4
Terms and conditions: zero coupon bonds nominal value of 1,000 rubles and a maturity of 10 years, sold for 600 rubles.
To analyze the feasibility of the purchase of bonds of this kind, if there is an alternative investment opportunity with a rate of return:
a) 5% per annum;
b) 5.5% per annum;
c) 6% per annum?
Problem number 5
Conditions: Calculate the present value of the bonds nominal value of 200 rubles with an annual coupon rate of 8%. The bond is paid off in 3 years.
Problem number 6
Conditions: Calculate the current price of perpetual bonds, if paid on her annual income is 20 thousand rubles, and an acceptable rate of return - 15%.
Objective number 7
Terms: The estimated selling price of the shares is 500 rubles, the market price at the time the decision to purchase - 400 rubles. It is assumed that sell this share will be priced at only 500 rubles a year. It is necessary to calculate earnings per share if the expected dividend per share - 20 rubles.
Task number 8
Terms: The Corporation, which produces computers, annually buys 10,000 transistors for use in the assembly of products. The cost of storage transistor - $ 2. The cost of the order - $ 25 per order. What should be the scope of the party ordered the transistors?
Objective number 9
Conditions: Calculate the unit price of a bank loan if the loan interest rate is 12% per annum, and the rate of income tax - 25%.
Problem number 10
Conditions: Calculate the amount of debt-service payments of the state to now, if the volume of public debt in the first period of failure to perform the obligation is 100 thousand rubles. with a period of 52 days payable; 50 thousand rubles for the second period of default with the debt of 20 days. The discount rate of the Central Bank of the Russian Federation at the time of the first debt was 5% at the time of the second - 7%.
Additional information
10 заданий, МЭИ
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