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Alternative solutions of financial mathematics RFEI
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Task №1
Cberbank gave the administration of one of the districts of Kursk
a loan of $ 4 million. rubles. for a period of 2 years at a rate of prime
interest of 20% per annum.
Determine the percentage and the amount of accumulated debt.
Problem №2
Credit 5 million. Rubles. issued by the bank for six months for a simple
the rate of 20% per annum. Determine the amount accrued.
Problem №3
The Bank granted a loan of 18 January in the amount of 500 thousand. Rub. Time
loan repayment 3rd of March. Interest rate - 20% per annum.
A non-leap year (365 days). Determine the amount accrued
debt repayable in two ways:
a) the exact percentage with the exact number of days the loan;
b) common interest with the exact number of days
loans.
Problem №4
The farmer received a soft loan for the development in the amount of
2 million. Rubles. for a period of 2 years on condition of return of 2.5 million. rubles.
Find the yield of the loan to the farmer in the form
interest and discount rates.
Problem №5
The contract provides for the following procedure for calculating
interest: the first year - the rate of 15% in each subsequent
half the rate rises to 0.5%. Determine the factor
compounding 2 years.
Challenges for the compound interest
Task №6
An amount equal to 500 thousand. Rub., Invested for 2 years under
20% per annum. Find accrued amount and the amount of interest for
this period, using compound interest.
Task №7
Find the sum of the debt of 10 mln. Rubles. after 8 months
complex annual rate of 7%.
Target 8
The initial amount of money - 1000 rubles. - Invested in the bank on
5 years at 6% per annum. Calculate the income from investments of the
the amount of money at dekursivnom and antisipativnom calculations
compound interest.
Target 9.
$ 500 thousand. Rub.nachislit continuous interest
s = rate of 5% in 2 years.
Target 10
Find the nominal interest rate if the quarterly
the effective rate of 5%.
Problems on "Inflation"
Target 11
In May 2012, the city of Kursk in the supermarket carton of milk
Sudzhansky dairy plant cost 27 rubles. In August
of the same year the same milk is 28.3 rubles.
What is the price index and the index of the purchasing power of
the last period?
Additional information
Target 13
According to the problem 12 to calculate the gross rate for the year
challenging the rate of 10%.
Problems on "Consolidation and extension
financial liabilities "
Target 14
For repair of agricultural farmer took three loans:
S 0,5 1
= Mn. Rub., =
2 S 1 million. Rub., S 1,5 3
= Mn. Rub. from
terms of payment respectively by 80, 100 and 150 days,
that the financial circumstances are replaced by one
a loan with a term of payment after 210 days at a simple rate
10%. Find the sum of consolidated payment (year to take
equal to 360 days).
Target 15
Construction company to repay its debt
Bank for granting credit at 21% per annum, shall
2 make payment within the period 15.05 (135-day) and 22.11 (295th
day) sums S 3,5 1
= Mn. Rub. and S 4,7 2
= Mn. Rub. Firm
agreed to combine both payments into one sum
S 8,7 0
= Mn. Rub. the extension of the payment.
Find the term of payment of the consolidated payment. (B
brackets the serial number of the date of payment).
Problems on "Loans"
Problem №16
The amount of the loan with interest of 20 thousand. Rub.
The loan is a simple interest rate of 20% per annum for 250 days
non-leap year.
Calculate the income received by the bank during this financial
operation.
Problem №17
The client asked the bank for a loan in the amount of 800 thousand. Rub.
for a period of 270 days. The Bank has agreed to issue a loan at 20%
per annum (simple interest rate) and the interest
You shall be accrued and paid on the amount
credit available at the time of issue. Determine
how much the customer will receive the bank.
Problem №18
Credit 960 thousand. Rub. you must repay
successive equal installments over 3 years payments
postnumerando. The loan is issued under 21% per annum.
Create a plan of repayment of the loan and submit it in the form
Table 1.
Table 1
Problem №19
A loan of $ 600 thousand. Rub. repayable within 4 years
postnumerando payments at an annual rate g = 18%. Make up
Plan loan repayment equal to the urgent payments
Interest on the outstanding balance.
Repayment plan presented in the form of Table 2.
Problem №20
Consumer credit in the amount of 500 thousand. Rub. issued on
one year for the occasional charging interest at a rate of 18%
APR. Repayment monthly.
Be amortization plan for repayment of the loan
Rule 78.
Repayment plan presented as Table 3.
(Note that the sum of the column I should give 90 thousand. Rub., And on
column R - 500 thousand. rub.)
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