£1443 paid at the end of each year for the first 4 years followed by £1441 paid at the end of each year up until year 15 (inclusive). Assuming an effective rate of interest of 6.9% pa throughout the entire period, how much total fund the company needs to hold today in order to meet these payments?
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A company needs to set aside a fund to meet the following future
£1443 paid at the end of each year for the first 4 years followed by £1441 paid at the end of each year up until year 15 (inclusive). Assuming an effective rate of interest of 6.9% pa throughout the entire period, how much total fund the company needs to hold today in order to meet these payments?
Express your answer in £s to 2 decimal places. (correct answer = 13214.59)
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Solved in 3 steps
- A company needs to buy an annuity package that will provide a future income to an individual over a 33-year period at the following levels: £4421 paid at the beginning of each year for the first 13 years followed by £3318 paid at the beginning of each year up until year 33 (inclusive). Calculate in £s, to 2 decimal places, the price of this investment in order to assure the required payments, given that the rate of interest during this period is: 4.0% pa effective for the first 20 years and then 7.1% pa effective thereafter. (no tables, only formulas, please)An enterprise needs to set aside a fund to meet the following future annuity payments to an individual: £1450 paid at the beginning of each year for the first 12 years; followed by £1500 paid at the beginning of each year up until year 18 (inclusive). Assuming an effective rate of interest of 5.4% pa throughout the entire period, how much total fund the company needs to hold today in order to meet these payments? no tables, only formulas, pleaseA company needs to buy an annuity package that will provide a future income to an individual over a 33-year period at the following levels: £4421 paid at the beginning of each year for the first 13 years followed by £3318 paid at the beginning of each year up until year 33 (inclusive). Calculate in £s, to 2 decimal places, the price of this investment in order to assure the required payments, given that the rate of interest during this period is: 4.0% pa effective for the first 20 years and then 7.1% pa effective thereafter. (correct answer = 71829.14, ONLY formulas, no tables, please)
- An insurer needs to make the following annuity payments to an individual: £445 paid at the end of each month during the first 15 years and then £448 paid at the end of each 4 months for the following 8 years. Assuming an effective monthly interest rate of 1.3% throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? ( correct answer =31470.44, using formulas no tables)An insurer needs to make the following annuity payments to an individual: £744 paid at the beginning of each year for the first 5 years and then £654 paid at the beginning of each month for the next 5 years and then £798 paid at the beginning of each quarter for the following 8 years. Assuming a nominal rate of interest of 2.7% pa convertible quarterly throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? Express your answer in £s to 2 decimal places. (correct answer: 53269.67) (need working out)An insurer needs to make the following annuity payments to an individual: £744 paid at the beginning of each year for the first 5 years and then £654 paid at the beginning of each month for the next 5 years and then £798 paid at the beginning of each quarter for the following 8 years. Assuming a nominal rate of interest of 2.7% pa convertible quarterly throughout the entire period, how much total fund the insurer needs to hold today in order to meet these payments? Express your answer in £s to 2 decimal places.
- On January 1, 2021, you deposited $6,100 in a savings account. The account will earn 10 percent annual compound interest, which will be added to the fund balance at the end of each year. Required: 1. What will be the balance in the savings account at the end of 4 years? (Future Value of $1,Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) Note: Use appropriate factor(s) from the tables provided. 2. What is the total interest for the 4 years? (Future Value of $1,Present Value of $1, Future Value Annuity of $1, Present Value Annuity of $1.) Note: Use appropriate factor(s) from the tables provided. 3. How much interest revenue did the fund earn in 2021 and in 2022?On January 1, 2021, you deposited $5,500 in a savings account. The account will earn 10 percent annual compound interest, which will be added to the fund balance at the end of each year. Required: 1. What will be the balance in the savings account at the end of 9 years? (Future Value of $1.Present Value of $1. Future Value Annuity of $1. Present Value Annuity of $1.) Note: Use appropriate factor(s) from the tables provided.An insurer needs to make the following annuity payments into a private pension fund: £771 paid at the beginning of each year for the first 5 years and then £1097 paid at the beginning of each year for the next 8 years and then £802 paid at the beginning of each year for the following 9 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 4.0% pa effective for the first 8 years and then 8.9% pa effective thereafter. Express your answer in £s to 2 decimal places. Answer: Check
- In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.) $295 monthly at 5.8% to accumulate $25,000.An company needs to make the following annuity payments into a pension fund: £1100 paid at the beginning of each year for the first 5 years and then £1200 paid at the beginning of each year for the next 9 years and then £720 paid at the beginning of each year for the following 7 years. Calculate the amount of capital accumulated in the fund by the end of the last year, given that the rate of interest during this period is: 5.5% pa effective for the first 10 years and then 6.4% pa effective thereafter. NO tables, only formulas, pleaseOn January 1, 2018, you deposited $5,500 in a savings account. The account will earn 8 percent annual compound interest, which will be added to the fund balance at the end of each year. Required: 1. What will be the balance in the savings account at the end of 7 years? 2. What is the total interest for the 7 years? 3. How much interest revenue did the fund earn in 2018 and in 2019? Show Transcribed Text