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)
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An insurer needs to make the following
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- Someone 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, NO TABLES, ONLY FORMULAS, PLEASEAn 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.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)
- A 3-year term insurance policy has an annual premium of $200, and at the end of 3 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 3.5% compounded annually? (a) State the type. sinking fund present value of an annuity amortization ordinary annuity future value (b) Answer the question. (Round your answer to the nearest cent.) $A 6-year term insurance policy has an annual premium of $500, and at the end of 6 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 2.5% compounded annually? (a) State the type. future value present value of an annuity sinking fund amortization ordinary annuity (b) Answer the question. (Round your answer to the nearest cent.) $Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $170 deposited monthly for 20 years at 3% per year in an account containing $11,000 at the start Find the periodic payments PMT necessary to accumulate the given amount in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $90,000 in a fund paying 6% per year, with monthly payments for 5 years
- 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: £5155 paid at the end of each year for the first 17 years followed by £6757 paid at the end of each year until the end of year 33 (inclusive). Calculate in £s, to 2 decimal places, the price of this package in order to assure the required payments, given that the rate of interest during this period is: 7.8% pa effective for the first 6 years, followed by 3.2% pa effective up until year 27 (inclusive) and then 6.7% pa effective thereafter.A 6-year term insurance policy has an annual premium of $500, and at the end of 6 years, all payments and interest are refunded. What lump-sum deposit is necessary to equal this amount if you assume an interest rate of 2.5% compounded annually? (a) State the type. A.future valueB. ordinary annuity C.sinking fundD. present value of an annuityE.amortization (b) Answer the question. (Round your answer to the nearest cent.)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. (correct answer = 71829.14, ONLY formulas, no tables, please)
- 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)Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). However, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). What is the future value of a 15-year annuity of $1,600 per period where payments come at the beginning of each period? The interest rate is 9 percent. Use Appendix C for an approximate answer, but calculate your final answer using the formula and financial calculator methods. To find the future value of an annuity due when using the Appendix tables, add 1 to n and subtract 1 from the tabular value. For example, to find the future value of a $100 paymentGive typing answer with explanation and conclusion to all parts If $387674 is used to purchase an annuity earning 5.5% compounded monthly and paying $3102 at the end of each month, what will be the term of the annuity? Include the final, smaller annuity payment in the total. (Just state total months as a number, not years and months) What is N? What is I/Y? What is C/Y? What is P/Y? What is PV? What is PMT? What is FV?