Calculate the present value as at 1 January 2019 of a series of payments of £100 payable on the first day of each month during 2020, 2021 and 2022, assuming an effective rate of interest of 8% per annum. Calculate this in form of Annuities like in Actuarial Science.

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

What is the present value of an annuity of $6,000 to be received at the beginning of each of the next eight periods assuming an interest rate of 10%?

Use the following 8% interest factors.   Present Value ofOrdinary Annuity Future Value ofOrdinary Annuity 7 periods 5.20637 8.92280   8 periods 5.74664 10.63663   9 periods 6.24689 12.48756   What amount should be recorded as the cost of a machine purchased December 31, 2020, which is to be financed by making 8 annual payments of $21500 each beginning December 31, 2021? The applicable interest rate is 8%. A.)$150500 B.)$228688 C.)$134308 D.)$123553

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)

Please use a physical TIMELINE to solve.

Calculate the present value of the following annulties, assuming each annuity payment is made at the end of each compounding period. (FV of $1, PV of $1, FVA of $1, and PVA of S1) (Use tables, Excel, or a financial calculator. Round your answers to 2 decimal places.) \table[[, \table[[Annuity], [Payment]], \table [[ Annual], [Rate]], \table[[Interest], [Compounded]], \table [[Period], [Invested]], \table [[Present Value of], [ Annuity]]], [1., $5,000, 7.0%, Semiannually,3 years,], [2., 10, 000, 8.0%, Quarterly,2 years, ], [3., 4,000, 10.0 %, Annually,5 years,]]

Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.

Derive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.

David would like to make a single payment of $2000 at the end of year 7 so that it will be equivalent to payments of $100, $1000, and $900 made at the ends of years 1, 12, and X years, respectively. Assuming an effective rate of interest of 5% per annum and the method of equated time, solve for X. Round your answer to 2 decimal places.