A perpetuity has payments of 1. 1. 2, 1, 1, 3, 1, 1, 4. Payments are made at the end of each year. Assuming an annual effective interest rate of 5%, find the present value of the perpetuity.
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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?The FV of an annuity where payments are made at the beginning of the year is $6,456 and the FV of an annuity where payments are made at the end of the year is $5946. If the annuity is for 5 years; find the interest rate.A 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.
- A perpetuity will pay $800 per year, starting five years after the perpetuity is purchased. What is the present value (PV) of this perpetuity on the date that it is purchased, given that the interest rate is 3%?Calculate the future value of the following annuities, assuming each annuity payment is made at the end of each compounding period. Annuity Payment Annual Rate Interest Compounded Period Invested 1. $3,000 7% Annually 6 years 2. 6,000 8 Semiannually 9 years 3. 5,000 12 Quarterly 5 yearsA perpetuity-immediate has payments of 10 at the end of year 1, 12 at the end of year 2, and level payments of 14 at the end of each year thereafter. Calculate the duration of the perpetuity if the annual effective interest rate is 6%.
- A perpetuity will pay $736 per year, starting five years after the perpetuity is purchased. (The first payment is precisely 5 years after purchase.) What is the present value (PV) of this perpetuity on the date that it is purchased, given that the interest rate is 9 % ?Find the future value of an annuity in 12 years if you deposit $105 at the end of each compounding period into an account paying 1.50% compounded semiannually. $ 2749.79 O $5510.80 O $496976.44 O $2709.71A perpetuity makes its first annual payment of $110 exactly 17 years from today. The discount rate is 6.1% per annum compounded annually. 1) What is the present value of this perpetuity valued at exactly Year 13? (Round your answer to the nearest cent) 2) What is the present value of this perpetuity valued at exactly Year 0? (Round your answer to the nearest cent)
- If $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.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 yearsUse 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
