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.

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.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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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.)
Calculate the nominal and effective rates of interest for the following ordinary annuity. Round to the nearest 0.01% Future Value Payment Interval $112,6041 month Future Value Calculate the nominal and effective rates of interest for the following ordinary annuity. Round to the nearest 0.01% Payment Interval Periodic Payment $75,000 1 month Term $750 9.25 years Periodic Payment Term $318.0711 years
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
Assume that an annuity has an annual cash flow of $375 in Years 11 through 20 (10 cash flows). Also assume that the nominal annual interest rate that is appropriate for this annuity is 9 percent (compounded daily, and using a 365-day basis year). Given this information, determine the value o this annuity at Year 0. $ 838.62 $1,205.43 $960.89 $1,083.16 O $716.35
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.
Someone needs to buy an annuity package that will provide a future income to an individual over a 42-year period at the following levels: £3452 paid at the beginning of each year for the first 10 years followed by £3384 paid at the beginning of each year up until year 42 (inclusive). Calculate, the price of this investment in order to assure the required payments, given that the rate of interest during this period is: 4.4% pa effective for the first 20 years and then 8.7% pa effective thereafter correct answer = 61939.72, NO TABLES, ONLY FORMULAS, PLEASE
In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. You and your new spouse each bring home $1600 each month after taxes and other payroll deductions. By living frugally, you intend to live on just one paycheck and save the other in a mutual fund yielding 7.74% compounded monthly. How long will it take to have enough for a 20% down payment on a $175,000 condo in the city? (Round your answer to two decimal places.)
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, PLEASE
Find the amount of the ordinary annuity based on the information given. R = $10,500, 8% interest compounded semiannually for 8 years The amount of the ordinary annuity is (Round to the nearest dollar as needed.)
Two annuities are available for purchase that your client has identified. The first annuity pays $7,000 each six-month period over a 5-years period, at a nominal rate of 9% p.a. The annuity has an annual fee of $300, paid at the beginning of each year. The second annuity pays $1,000 each month, again over 5 years at a nominal rate of 10% p.a. and does not have an annual fee. If each of the annuities cost $50,000, identify which of the annuities you would recommend to your client.
calculate the present value (in $) of the ordinary annuity. (Round your answer to the nearest cent.) AnnuityPayment PaymentFrequency TimePeriod (years) NominalRate (%) InterestCompounded Present Valueof the Annuity $3,000 every year 20 5 annually $
Find the periodic payments PMT necessary to accomulate the given account in an annuity account. (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $20,000 in a fund paying 2% per year, with quarterly payments for 20 years. PMT = $

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