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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?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 % ?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%?
- A perpetuity will pay $900 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 11%?Find the future value of each annuity due. Then determine how much of this value is from contributions and how much is from interest. Payments of $1000 made at the beginning of each semiannual period for 7 years at 8.49 % compounded semiannually The future value of the annuity due is $. (Do not round until the final answer. Then round to the nearest cent as needed.) The amount from contributions is $ The amount from interest is $ (Do not round until the final answer. Then round to the nearest cent as needed.)• A perpetuity will pay $900 per year, starting five years after the perpetuity is purchased. What is the present value (PV) at time 0, given that the interest rate is 11%? • A) $2695 • B) $4312 • C) $5390 • D) $3234 Please show your steps.
- 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.What is the value of a perpetuity that pays $100 every 4 months forever? The discount rate quoted on an APR basis is 5.7%. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a perpetuity %24Find the discounted value of an ordinary simple perpetuity paying $2100 at the end of half-year, if interest is i365 = 19.97 %. Answer: 21031.55
- What is the value today of a 15-year annuity that pays $630 per year? The annuity's first payment occurs six years from today. The discount interest rate is 11 percent for Years 1 through 5 and 13 percent thereafter. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Present valueA 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 of $1 each year, with the first payment due immediately, has a present value of $25 at an annual effective rate of i%. The owner exchanges it for another perpetuity with the first payment due immediately and subsequent payments due at two year intervals. What should the payment of the second perpetuity be, in order to keep the same interest rate, i%, and the same present value? A B с D E Less than $1.90 At least $1.90, but less than $1.94 At least $1.94, but less than $1.98 At least $1.98, but less than $2.02 $2.02 or more