At a certain interest rate the present values of the following two payment patterns are equal: (i) $350 at the end of 4 years plus $250 at the end of 11 years. ii) $500 at t end of 4 years. At the same interest rate $300 invested now plus $200 at the end of 4 years will accumulate to P at the end of 11 years. Calculate P.
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am. 03.
![At a certain interest rate the present values of the following two payment patterns are equal: (i) $350 at the end of 4 years plus $250 at the end of 11 years. ii) $500 at the
end of 4 years. At the same interest rate $300 invested now plus $200 at the end of 4 years will accumulate to P at the end of 11 years. Calculate P.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F832f6b93-1aa9-4316-a702-c0bbf3dfbd67%2F5ac40e1c-0228-48d7-8d24-b4978d33addf%2Fgoah6ft_processed.png&w=3840&q=75)
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- Consider two perpetuities (X and Y) at interest rate i. X provides level payments of $105 at the end of each year. Y provides a payment of $5 at the end of the first year, with payments increasing by $5 annually. Find i such that the present value of (X-Y) is a maximum. (Answer to the nearest .05%.)Suppose an annuity pays $2000 at the end of each 3 month period for 3.5 years at an interest rate of 4%, compounded quarterly a. find the total number of periods b. find the real interest rate per period c. find the present value (give the formula)Compute the present value of a perpetuity that pays $6,744 annually given a required rate of return of 9 percent per annum. Round your answer to 2 decimal places; record your answer without commas and without a dollar sign. Answer Question 4 Assume that you deposit $3,956 each year for the next 15 years into an account that pays 20 percent per annum. The first deposit will occur one year from today (that is, at t = 1) and the last deposit will occur 15 years from today (that is, at t = 15). How much money will be in the account 15 years from today? Round your answer to 2 decimal places; record your answer without commas and without a dollar sign.
- D. At a certain interest rate the present values of the following two payment patterns are equal: (i) P 200,000 at the end of 5 years plus P 500,000 at the end of 10 years; (ii) P 400,940 at the end of 5 years. At the same interest rate P 100,000 invested now plus P 120,000 invested at the end of 5 years will accumulate to X at the end of 10 years. Calculate X.D. At a certain interest rate the present values of the following two payment patterns are equal: (i) P 200,000 at the end of 5 years plus P 500,000 at the end of 10 years; (ii) P 400,940 at the end of 5 years. At the same interest rate P100,000 invested now plus P 120,000 invested at the end of 5 years will accumulate to X at the end of 10 years. Calculate X.What is the present value of a cash payment of $1.2 that you will receive in 5.3 years if the interest rate is 6.5%? Round to 2 decimal places. Include dollar signs ($) and percents (%) as appropriate.
- Find the future values of the ordinary annuities at the given annual rate r compounded as indicated. The payments are made to coincide with the periods of compounding. (Round your answer to the nearest cent.) PMT = $140, r = 7.7%, compounded monthly for 20 yearsYou are given the following about two annuities-immediate: Annuity A pays 300 at the end of each year for 18 years. d ofc Annuity B pays 399.865 at the end of each year for 9 years. At an annual effective rate of interest i, the PV of both annuities are equal. Calculate i. Ponible Answers 12% 11% C 10% D 13% 14%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.
- For each of the following situations involving annuities, solve for the unknown (?). Assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) Present Value Annuity Amount i n1. ? $ 3,000 8% 52. $ 242,980 75,000 ? 43. 161,214 20,000 9 ?4. 500,000 80,518 ? 85. 250,000 ? 10 4 Sandy Kupchack just graduated from State University with a bachelor’s degree in history. During her four years at the university, Sandy accumulated $12,000 in student loans. She asks for your help in determining the…Annuity A pays 1 at the beginning of each year for five years.Annuity B pays 1 at the beginning of each year for four years.The Macaulay duration of Annuity A at the time of purchase is Σ/10. Both annuities offer thesame yield rate.Calculate the Macaulay duration of Annuity B at the time of purchase. Σ=22Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)