Financial mathematics (answers to Synergy tests)
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Financial mathematics (answers to Synergy tests) 30 questions score 70 points
If two payments (50 thousand rubles with a period of 90 days and 100 thousand rubles with a period of 180 days) are replaced by one with a period
270 days, then the amount of the consolidated payment using a simple interest rate of 20% is ...
160 thousand rubles
180 thousand rubles.
140 thousand rubles
200 thousand rubles.
Continuous accrual of interest is the accrual of interest ...
daily
hourly
every minute
for an unfixed period of time
If the company received a loan in the amount of 2,000 thousand rubles. for a period of 2 years at 10% per annum and repaid the loan in equal amounts, and payments of the principal debt and accrual of interest were made at the end of each year, the amount of interest for the loan was ...
600 thousand rubles
300 thousand rubles.
200 thousand rubles.
500 thousand rubles
Compound interest calculation is preferable when ...
short-term financial transactions
the term of the financial transaction in one year
long-term financial transactions
Simple interest is used in cases ...
interest payments as they accrue
interest is added to the amount of debt
loans with a duration of more than one year
If the debt is paid in equal repayment payments, then during the entire loan term the principal repayment amount ...
increases and the amount of interest decreases
decreases and the amount of interest increases
and the amount of interest decreases
and the amount of interest increases
If the accrued sum of the usual post-numerando rent is equal to 480 thousand rubles, and the interest rate is 10%, then the accrued sum of the usual pre-numerando rent is equal to ...
628 thousand rubles
528 thousand rubles
428 thousand rubles.
488 thousand rubles.
The formula for the accrued sum S of simple prenumerando annuity has the form: ... (where: R is the sum
annuity payments for the year; i - interest rate; n is the term of the rent in years; j is the nominal interest rate; m - the number of interest accruals per year)
If the rent reduction coefficient is 5.6 and the annual term is 200 thousand rubles, then the present value of the rent is ...
1,120 thousand rubles.
RUB 2,120 thousand
RUB 3,120 thousand
4,120 thousand rubles.
If the loan in the amount of 100 thousand rubles. take for 2 years at 20%, then the amount to be returned is ...
120 thousand rubles
130 thousand rubles.
150 thousand rubles.
144 thousand rubles
If the contribution of 200 thousand rubles. opened for a year at a nominal rate of 20% with interest accrued 2 times a year, then the amount to be returned is equal to ...
252 thousand rubles
242 thousand rubles
240 thousand rubles
244 thousand rubles.
If the loan in the amount of 100 thousand rubles. must be repaid within four years in equal parts, then repayment of the principal debt in equal amounts annually will amount to ...
25 thousand rubles
30 thousand rubles.
35 thousand rubles.
40 thousand rubles.
If a loan in the amount of 1 100 thousand rubles. must be repaid within two years in equal installments, then interest payment for the second year will be ...
5 thousand rubles.
10 thousand rubles
15 thousand rubles.
20 thousand rubles
A complete list of options for the order of repayment of the principal debt - ...
amortization and one-time repayment
amortization repayment and repayment by periodic installments
repayment in periodic installments and lump sum repayment
repayment in periodic installments, amortization and lump sum repayment
The term of a financial transaction n according to the scheme of simple discount rates is determined by the formula ...
(where: P is the initial loan amount; S is the accrued loan amount; i is the interest rate; d is the discount interest rate; t is the loan term in days; n is the loan term in years; K is the time base)
For a bank, the amortization option of debt repaymen
If two payments (50 thousand rubles with a period of 90 days and 100 thousand rubles with a period of 180 days) are replaced by one with a period
270 days, then the amount of the consolidated payment using a simple interest rate of 20% is ...
160 thousand rubles
180 thousand rubles.
140 thousand rubles
200 thousand rubles.
Continuous accrual of interest is the accrual of interest ...
daily
hourly
every minute
for an unfixed period of time
If the company received a loan in the amount of 2,000 thousand rubles. for a period of 2 years at 10% per annum and repaid the loan in equal amounts, and payments of the principal debt and accrual of interest were made at the end of each year, the amount of interest for the loan was ...
600 thousand rubles
300 thousand rubles.
200 thousand rubles.
500 thousand rubles
Compound interest calculation is preferable when ...
short-term financial transactions
the term of the financial transaction in one year
long-term financial transactions
Simple interest is used in cases ...
interest payments as they accrue
interest is added to the amount of debt
loans with a duration of more than one year
If the debt is paid in equal repayment payments, then during the entire loan term the principal repayment amount ...
increases and the amount of interest decreases
decreases and the amount of interest increases
and the amount of interest decreases
and the amount of interest increases
If the accrued sum of the usual post-numerando rent is equal to 480 thousand rubles, and the interest rate is 10%, then the accrued sum of the usual pre-numerando rent is equal to ...
628 thousand rubles
528 thousand rubles
428 thousand rubles.
488 thousand rubles.
The formula for the accrued sum S of simple prenumerando annuity has the form: ... (where: R is the sum
annuity payments for the year; i - interest rate; n is the term of the rent in years; j is the nominal interest rate; m - the number of interest accruals per year)
If the rent reduction coefficient is 5.6 and the annual term is 200 thousand rubles, then the present value of the rent is ...
1,120 thousand rubles.
RUB 2,120 thousand
RUB 3,120 thousand
4,120 thousand rubles.
If the loan in the amount of 100 thousand rubles. take for 2 years at 20%, then the amount to be returned is ...
120 thousand rubles
130 thousand rubles.
150 thousand rubles.
144 thousand rubles
If the contribution of 200 thousand rubles. opened for a year at a nominal rate of 20% with interest accrued 2 times a year, then the amount to be returned is equal to ...
252 thousand rubles
242 thousand rubles
240 thousand rubles
244 thousand rubles.
If the loan in the amount of 100 thousand rubles. must be repaid within four years in equal parts, then repayment of the principal debt in equal amounts annually will amount to ...
25 thousand rubles
30 thousand rubles.
35 thousand rubles.
40 thousand rubles.
If a loan in the amount of 1 100 thousand rubles. must be repaid within two years in equal installments, then interest payment for the second year will be ...
5 thousand rubles.
10 thousand rubles
15 thousand rubles.
20 thousand rubles
A complete list of options for the order of repayment of the principal debt - ...
amortization and one-time repayment
amortization repayment and repayment by periodic installments
repayment in periodic installments and lump sum repayment
repayment in periodic installments, amortization and lump sum repayment
The term of a financial transaction n according to the scheme of simple discount rates is determined by the formula ...
(where: P is the initial loan amount; S is the accrued loan amount; i is the interest rate; d is the discount interest rate; t is the loan term in days; n is the loan term in years; K is the time base)
For a bank, the amortization option of debt repaymen
The principle of the inequality of money in time is that ...
money depreciates over time due to inflation and can be invested and generate income
monetary amounts equal in absolute value referring to different points in time are evaluated according to the same criteria
monetary amounts equal in absolute value referring to different points in time are evaluated according to different criteria
If the present value of the usual post-numerando rent is 680 thousand rubles, and the interest rate is 10%, then the present-day value of the usual prenumerando rent is ...
762 thousand rubles.
658 thousand rubles.
748 thousand rubles.
628 thousand rubles
If the deposit is 100 thousand rubles. open for a period of 8 months. at 60% per annum, the amount of interest received by the client after 8 months will be equal to ...
45 thousand rubles.
40 thousand rubles.
50 thousand rubles
60 thousand rubles
The types of mortgage lending include a loan from ...
pledged account
growth in payments
periodic increase in payments
grace period
If a loan in the amount of 100 thousand rubles. issued for a period from January 1 to July 1 inclusive at a simple 30%, then the amount of debt, calculated according to the German method, is equal to ...
145 thousand rubles
135 thousand rubles.
125 thousand rubles
115 thousand rubles
If the amount of the debt was 169 thousand rubles, the debt repayment period is 2 years at 30% per annum, then the borrower received an amount equal to ...
120 thousand rubles
130 thousand rubles.
150 thousand rubles.
144 thousand rubles
The formula for the accrued value of the usual annual constant postnumerando rent S is:
... (where: R is the amount of annuity payment for the year; i is the interest rate; n is the annuity term in years; j is
nominal interest rate; m - the number of interest accruals per year)
The basic model of simple interest is described by the formula ... (where: P is the initial amount,
lent; i - interest rate, j - nominal interest rate; n is the term of the loan in years; m - the number of interest accruals per year)
The least desirable option for the bank is the debt repayment option ...
periodic contributions
equal maturity payments
one-off debt repayment
non-recurring contributions
The loan is used by the company for ...
replenishment of own sources of financing
purchase of equipment if the enterprise does not have the necessary funds for this purpose
obtaining the right to use the equipment
payroll settlements
If interest on the deposit is charged 2 times a year at a nominal rate of 20%, then the effective interest rate is ...
21%
22%
24%
28%
Interest I is determined by the formula ... (where: S is the accrued loan amount; P is
the initial amount lent; i - interest rate; t - loan term in days; n - loan term in years)
If the present value of the rent is 280 thousand rubles, and the rent reduction coefficient is 4, then its annual term is ...
80 thousand rubles
60 thousand rubles
70 thousand rubles.
120 thousand rubles
money depreciates over time due to inflation and can be invested and generate income
monetary amounts equal in absolute value referring to different points in time are evaluated according to the same criteria
monetary amounts equal in absolute value referring to different points in time are evaluated according to different criteria
If the present value of the usual post-numerando rent is 680 thousand rubles, and the interest rate is 10%, then the present-day value of the usual prenumerando rent is ...
762 thousand rubles.
658 thousand rubles.
748 thousand rubles.
628 thousand rubles
If the deposit is 100 thousand rubles. open for a period of 8 months. at 60% per annum, the amount of interest received by the client after 8 months will be equal to ...
45 thousand rubles.
40 thousand rubles.
50 thousand rubles
60 thousand rubles
The types of mortgage lending include a loan from ...
pledged account
growth in payments
periodic increase in payments
grace period
If a loan in the amount of 100 thousand rubles. issued for a period from January 1 to July 1 inclusive at a simple 30%, then the amount of debt, calculated according to the German method, is equal to ...
145 thousand rubles
135 thousand rubles.
125 thousand rubles
115 thousand rubles
If the amount of the debt was 169 thousand rubles, the debt repayment period is 2 years at 30% per annum, then the borrower received an amount equal to ...
120 thousand rubles
130 thousand rubles.
150 thousand rubles.
144 thousand rubles
The formula for the accrued value of the usual annual constant postnumerando rent S is:
... (where: R is the amount of annuity payment for the year; i is the interest rate; n is the annuity term in years; j is
nominal interest rate; m - the number of interest accruals per year)
The basic model of simple interest is described by the formula ... (where: P is the initial amount,
lent; i - interest rate, j - nominal interest rate; n is the term of the loan in years; m - the number of interest accruals per year)
The least desirable option for the bank is the debt repayment option ...
periodic contributions
equal maturity payments
one-off debt repayment
non-recurring contributions
The loan is used by the company for ...
replenishment of own sources of financing
purchase of equipment if the enterprise does not have the necessary funds for this purpose
obtaining the right to use the equipment
payroll settlements
If interest on the deposit is charged 2 times a year at a nominal rate of 20%, then the effective interest rate is ...
21%
22%
24%
28%
Interest I is determined by the formula ... (where: S is the accrued loan amount; P is
the initial amount lent; i - interest rate; t - loan term in days; n - loan term in years)
If the present value of the rent is 280 thousand rubles, and the rent reduction coefficient is 4, then its annual term is ...
80 thousand rubles
60 thousand rubles
70 thousand rubles.
120 thousand rubles