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# ISMM 01-5 examination papers Financial Mathematics

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**05.07.2012**

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# Description

ISMM final work

Discipline: "Mathematical methods in assessing"

1. What the present value of the loan, providing the end of each year, the payment in 1000 of CU for 25 years. The annual rate of the bank is 10%.

2. What amount should now be deposited in the bank in order to get through 4 years 10 000 CU at the rate of 10% of the bank?

3. You have received an inheritance - 50 000 CU and you decide to put this amount in the bank to the deposit account at 8% per annum and are not working over the next 8 years. How much you can withdraw from the account each year, to the end of the 8th year to the account balance is zero.

4. (Continued). How much money will accumulate in your account, if you do not wake withdraw from a deposit account funds.

5.Vam offer to buy the land for 14 000 CU and assure that in 4 years you will be able to sell them for the 20 000 CU After talking with the experts, you figure out that the land becomes more expensive on average by 15% per year. Take this deal if you and why?

6.Kredit in the amount of 180,000 rubles. obtained for 12 years at 14% per annum on the terms of the monthly repayment uniform. It is required to determine the amount of payment to repay the loan and a timetable for his return for 1 year after the date of receipt.

7. As you must deposit the amount for 5 years at 20% per annum to the monthly calculation of income by the end of this period the account was 50 000 rubles.

8. How will the amount of the account after 5.5 years if today to deposit 1200 CU under 35% per annum, subject to quarterly income accrual.

9. How should be the monthly income from the ownership of the object of assessment, if it was purchased for 100 000 rubles. and the investor wishes to recoup its full 7 years. The rate of return an investor is 38% per annum, subject to a monthly accrual of income at the beginning of each month.

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# Additional information

33.Cherez 3 years you are planning to buy a house, which will cost 600,000 rubles. How much you need to put in the bank today, the deposit account to make this purchase? Terms of deposit: quarterly accrual rate of 8% per annum Bank.

34.Roditeli decided to study at the university of their son would be enough to have 11 000 rubles. per month. To determine how much they should be placed in the bank at 12% per annum with monthly charge to within 5 years of their son could withdraw each month from the account to 11 000 rubles.

35. Air worth 5000 rubles. It has a service life of 7 years. Calculate the size of annual allocations from the sinking fund factor of 6%.

36. Calculate the monthly payments on a mortgage loan in the amount of 5,000 rubles, resulting in the purchase of an apartment for 5 years at 9% per annum.

37. In advertising №1 bank said that the amount placed today on the term deposit to double in 5 years. Bank number 2 promises to its customers 14% per annum on deposits for the same period. In which banks pay each year a greater percentage on investment?

38. There are 3 banks.

The bank number one interest rate is 8.2%, which is charged 1 time per year. The bank number 2 - 8% per annum, accrued on a quarterly one. The bank number 3 - 7.8% per annum, accrued daily.

Assume that you want to put in the bank for deposit account 1000 rubles. 5 years. Which bank at the end of this period will give you more money?

Will it be your choice, if the period of investment will increase to 10 years?

39. You decide to buy a car in installments (payment of 90 thousand rubles. Monthly techenie2 years) Determine the current value of the purchase if the bank pays 12% per month.

40. Determine the present value of the next cash flow at a discount rate of 10%:

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