Question 1

Calculate the value of an investment in which 1.9 million Uzbekistani Som (UZS) are invested each year, for 3 years, at 15% (to nearest UZS 10,000).

Accepted Answer

The future value of an annuity formula is used to calculate the investment value: FV = P * [(1 + r)^n - 1] / r. Here, P = 1.9 million, r = 0.15, and n = 3. Plugging in these values gives the future value closest to UZS 7.59 million.

Question 2

A company in Lagos, Nigeria needs to repay a debt totalling 900,000 Nigerian Naira (NGN) in 3 years' time. Assume payments are made into a sinking fund in arrears and can be invested at 7.5%. How much must the company save in order to meet its commitments (to the nearest NGN 10)?

Accepted Answer

C

Question 3

Which of the following options is the BEST definition of an annuity?

Accepted Answer

An annuity is best defined as a series of fixed payments made over uniform time intervals. This financial product is designed to provide consistent income or payments over a specified period, making option C the most accurate definition.

Question 4

Use a geometric progression to calculate the value of an investment where 12 monthly payments of £250 are made with a nominal level of interest of 4.8% accrued monthly (to the nearest £1).

Accepted Answer

The value of the investment can be calculated using the formula for the future value of a geometric series, which in the context of finance is often referred to as the future value of an annuity formula. The formula is: FV = P * [(1 + r)^n - 1] / r, where P is the payment amount, r is the monthly interest rate (annual rate divided by 12), and n is the total number of payments. Given a monthly payment of £250, an annual interest rate of 4.8%, and 12 payments, the monthly interest rate is 0.04 (4.8% annual rate) divided by 12 = 0.004. Plugging these values into the formula gives: FV = 250 * [(1 + 0.004)^12 - 1] / 0.004, which calculates to approximately £3,079 when rounded to the nearest £1.

Question 5

€20,000 is borrowed over 3 years at 9.5% compounded. Calculate the annuity that must be paid into the sinking fund in order to meet this commitment, assume payments are made in arrears and can be invested at 4.5% (to the nearest €10).

Accepted Answer

The answer of €20,000 is borrowed over 3 years at...

Question 6

When setting up a depreciation schedule, which of the following values is not required?

Accepted Answer

The answer of When setting up a depreciation schedule, which...

Question 7

The payment of a pension is an example of which type of annuity?

Accepted Answer

A pension is a contingent annuity because its payments depend on the life of the recipient.

Question 8

Which of the following items is not a normal requirement for an amortization schedule?

Accepted Answer

Net present value of remaining amount is not a normal requirement for an amortization schedule. An amortization schedule typically includes the annual payment, interest paid, and amount outstanding, but not the net present value of the remaining amount.

Question 9

A software company in Singapore fixes the rent for its office at 24,000 Singapore Dollars (SGD) per year payable in advance. Assuming a discount rate of 8%, calculate the total value of the payments in today's terms (to the nearest $10).

Accepted Answer

The answer of A software company in Singapore fixes the...

Question 10

A food processing plant in Poland takes out a loan of 1 million Polish Zloty (PLN) subject to interest at 6%. What must the annual payment be in order to pay the loan back in exactly 10 years (to the nearest 1 PLN)?

Accepted Answer

The annual payment can be calculated using the formula for an annuity, which is: Payment = P * [r(1 + r)^n] / [(1 + r)^n - 1], where P is the principal amount (1,000,000 PLN), r is the annual interest rate divided by the number of periods per year (0.06), and n is the total number of payments (10). Plugging these values into the formula gives an annual payment of approximately 149,029 PLN, rounding to the nearest zloty.

Quiz 23: Annuities

Calculate the value of an investment in which 1.9 million Uzbekistani Som (UZS) are invested each year, for 3 years, at 15% (to nearest UZS 10,000) .

A company in Lagos, Nigeria needs to repay a debt totalling 900,000 Nigerian Naira (NGN) in 3 years' time. Assume payments are made into a sinking fund in arrears and can be invested at 7.5%. How much must the company save in order to meet its commitments (to the nearest NGN 10) ?

Which of the following options is the BEST definition of an annuity?

Use a geometric progression to calculate the value of an investment where 12 monthly payments of £250 are made with a nominal level of interest of 4.8% accrued monthly (to the nearest £1) .

€20,000 is borrowed over 3 years at 9.5% compounded. Calculate the annuity that must be paid into the sinking fund in order to meet this commitment, assume payments are made in arrears and can be invested at 4.5% (to the nearest €10) .

When setting up a depreciation schedule, which of the following values is not required?

The payment of a pension is an example of which type of annuity?

Which of the following items is not a normal requirement for an amortization schedule?

A software company in Singapore fixes the rent for its office at 24,000 Singapore Dollars (SGD) per year payable in advance. Assuming a discount rate of 8%, calculate the total value of the payments in today's terms (to the nearest $10) .

A food processing plant in Poland takes out a loan of 1 million Polish Zloty (PLN) subject to interest at 6%. What must the annual payment be in order to pay the loan back in exactly 10 years (to the nearest 1 PLN) ?