Find the present value of a twenty-year temporary life annuity issued to (45) which provides for annual payments beginning at once with a payment of 3,000USD and increasing by 200USD each year until 5,000USD is reached, after which the payments decrease by 100USD annually for the remainder of the term.
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a) Find the
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- Value of an Annuity Using the appropriate tables, solve each of the following. Required: 1. Beginning December 31, 2020, 5 equal withdrawals are to be made. Determine the equal annual withdrawals if 30,000 is invested at 10% interest compounded annually on December 31, 2019. 2. Ten payments of 3,000 are due at annual intervals beginning June 30, 2020. What amount will be accepted in cancellation of this series of payments on June 30, 2019, assuming a discount rate of 14% compounded annually? 3. Ten payments of 2,000 are due at annual intervals beginning December 31, 2019. What amount will be accepted in cancellation of this series of payments on January 1, 2019, assuming a discount rate of 12% compounded annually?Use the ordinary annuity formula shown to the right to determine the accumulated amount in the annuity if $60 is invested semiannually for 10 years at 5.0% compounded semiannually. The accumulated amount will be Find i (the rate per period) and n (the number of periods) for the following annuity. Semiannual deposits of $3,200 are made for 99 years into an annuity that pays 7.5% compounded semiannually.
- 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 accumulated amount of the annuity. (Round your answer to the nearest cent.) $2500 annually at 7% for 10 years.Find the present value of an annuity with periodic payments of $2,000, for a period of 10 years at an interest rate of 6%, discounted semiannuallyIf $417.00 is deposited at the end of each year for 6 years into an ordinary annuity earning 4.08% interest compound semiannually, construct a balance sheet showing the interest earning during each year and the balance at the end of each year. Assume this annuity rounds the interest and balance to the nearest penny at the end of each year.
- B. Directions: Solve the following problems completely. Find the period of deferral in each of the following deferred annuity. a) Monthly payments of P 2,000 for 5 years that will start 7 months from now. b) Annual payments for P 8,000 for 12 years that will start 5 years from now. c) Quarterly payments of P 5,000 for 8 years that will start two years from now. d) Semi-annual payments ofP 60,000 for 3 years that will start 5 years from now. e) Payments of P 3,000 every 2 years for 10 years starting at the end of 6 years.Find i (the rate per period) and n (the number of periods) for the following annuity. Quarterly deposits of $500 are made for 6 years into an annuity that pays 7.5% compounded quarterly. Find i (the rate per period) and n (the number of periods) for the following annuity. Semiannual deposits of $3,100 are made for 15 years into an annuity that pays 5.9% compunded semiannually.Find the future value of the annuity due. 3) Payments of $2500 made at the beginning of each semiannual period for 15 years at 4% compounded semiannually Please show all workings step by step.
- Calculate the present value of the following annuities, 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 $1) Annuity Payment Annual Rate Interest Compounded Period Invested Present Value of Annuity 1. $5,200 7.0 % Annually 5 years 2. 10,200 10.0 % Semiannually 3 years $4,264.21 3. 4,200 12.0 % Quarterly 2 yearsA perpetuity paying $3, 000 at the beginning of each two years has the same present value as another perpetuity with level payments, this one having payments at the end of each three years. Express the level payment amount of the second perpetuity, P, as a function of the annual effective interest rate i.Give typing answer with explanation and conclusion Determine the periodic payment for the following deferred annuity. The annuity is an ordinary annuity following the period of deferral. Deferral period Payment interval (months) Interest rate (%) Compounding frequency Term (years) Present value ($) 27 months 1 6.4 Quarterly 20 50,000.00