Explanation The present value of an annuity is calculated with the formula P = R [ 1 − ( 1 + i ) − n i ] Where, R is the periodic payment; i is the interest rate per period n is the number of payments. As i is the interest rate per period, the value of i is greater than zero. Hence, 1 + i > 1 . As the value of n becomes larger and larger, n → ∞

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 5.3, Problem 56E

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To explain: The reason behind the present value of a perpetuity is P=Ri .

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Chapter 5.3, Problem 55E

Chapter 5.3, Problem 57E

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Chapter 5 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 5.1 - Find the maturity value for a 3000 loan at 5.8%...Ch. 5.1 - Prob. 2YT Ch. 5.1 - Prob. 3YT Ch. 5.1 - Prob. 4YT Ch. 5.1 - Prob. 5YT Ch. 5.1 - Prob. 6YT Ch. 5.1 - Prob. 7YT Ch. 5.1 - Prob. 8YT Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE

Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - What is the difference between t and n?Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Find the present value (the amount that should be...Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37E Ch. 5.1 - Prob. 38E Ch. 5.1 - Prob. 39E Ch. 5.1 - Prob. 40E Ch. 5.1 - Prob. 41E Ch. 5.1 - Prob. 42E Ch. 5.1 - Prob. 43E Ch. 5.1 - Prob. 44E Ch. 5.1 - Prob. 45E Ch. 5.1 - Prob. 46E Ch. 5.1 - For each of the following amounts at the given...Ch. 5.1 - Prob. 48E Ch. 5.1 - Prob. 49E Ch. 5.1 - Prob. 50E Ch. 5.1 - Prob. 51E Ch. 5.1 - Prob. 52E Ch. 5.1 - Prob. 53E Ch. 5.1 - Prob. 54E Ch. 5.1 - Prob. 55E Ch. 5.1 - Prob. 56E Ch. 5.1 - Prob. 57E Ch. 5.1 - Prob. 58E Ch. 5.1 - Prob. 59E Ch. 5.1 - Prob. 60E Ch. 5.1 - Prob. 61E Ch. 5.1 - Prob. 62E Ch. 5.1 - Prob. 63E Ch. 5.1 - Prob. 64E Ch. 5.1 - Savings On January 1, 2010, Jack deposited 1000...Ch. 5.1 - Savings Eric deposits 100 into a savings account...Ch. 5.1 - Interest Bruce and Robbie each open new bank...Ch. 5.1 - Prob. 68E Ch. 5.1 - Effective Rate In 2014, the Home Savings Bank paid...Ch. 5.1 - Prob. 70E Ch. 5.1 - Prob. 71E Ch. 5.1 - Prob. 72E Ch. 5.1 - Prob. 73E Ch. 5.1 - Prob. 74E Ch. 5.1 - Prob. 75E Ch. 5.1 - Prob. 76E Ch. 5.1 - Prob. 77E Ch. 5.1 - Prob. 78E Ch. 5.1 - Prob. 79E Ch. 5.1 - Prob. 80E Ch. 5.2 - Prob. 1YT Ch. 5.2 - Prob. 2YT Ch. 5.2 - Prob. 3YT Ch. 5.2 - Prob. 4YT Ch. 5.2 - Prob. 1WE Ch. 5.2 - Prob. 2WE Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Explain how a geometric sequence is related to an...Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Find the future value of each ordinary annuity, if...Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Prob. 37E Ch. 5.2 - Prob. 38E Ch. 5.2 - Prob. 39E Ch. 5.2 - Prob. 40E Ch. 5.2 - Prob. 41E Ch. 5.2 - Prob. 42E Ch. 5.2 - Prob. 43E Ch. 5.2 - Prob. 44E Ch. 5.2 - Prob. 45E Ch. 5.2 - Prob. 46E Ch. 5.2 - Business and Economics 47. Comparing Accounts...Ch. 5.2 - Prob. 48E Ch. 5.2 - Prob. 49E Ch. 5.2 - Prob. 50E Ch. 5.2 - Retirement Planning At the end of each quarter, a...Ch. 5.2 - Prob. 52E Ch. 5.2 - Prob. 53E Ch. 5.2 - Prob. 54E Ch. 5.2 - Prob. 55E Ch. 5.2 - Prob. 56E Ch. 5.2 - Prob. 57E Ch. 5.2 - Prob. 58E Ch. 5.2 - Prob. 59E Ch. 5.2 - Prob. 60E Ch. 5.2 - Prob. 61E Ch. 5.2 - Savings Nic Daubenmire deposits 10,000 at the...Ch. 5.2 - In Exercises 63 and 64, use a graphing calculator...Ch. 5.2 - Prob. 64E Ch. 5.2 - Lottery In a 1992 Virginia lottery, the jackpot...Ch. 5.2 - Buying Real Estate Erin DAquanni sells some land...Ch. 5.2 - Prob. 67E Ch. 5.2 - Prob. 68E Ch. 5.3 - Prob. 1YT Ch. 5.3 - Prob. 2YT Ch. 5.3 - Prob. 3YT Ch. 5.3 - Prob. 4YT Ch. 5.3 - Prob. 1WE Ch. 5.3 - Prob. 2WE Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - Prob. 7E Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Prob. 10E Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Find (a) the payment necessary to amortize each...Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 16E Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Suppose that in the loans described in Exercises...Ch. 5.3 - Prob. 32E Ch. 5.3 - Prob. 33E Ch. 5.3 - Suppose that in the loans described in Exercises...Ch. 5.3 - Prob. 35E Ch. 5.3 - Prob. 36E Ch. 5.3 - Prob. 37E Ch. 5.3 - Prob. 38E Ch. 5.3 - Prob. 39E Ch. 5.3 - New Car Financing In 2014, some dealers offered...Ch. 5.3 - Prob. 41E Ch. 5.3 - Prob. 42E Ch. 5.3 - Prob. 43E Ch. 5.3 - Prob. 44E Ch. 5.3 - Prob. 45E Ch. 5.3 - Prob. 46E Ch. 5.3 - Prob. 47E Ch. 5.3 - Prob. 48E Ch. 5.3 - House Payments Jason Hoffa buys a house for...Ch. 5.3 - Prob. 50E Ch. 5.3 - Refinancing a Mortgage Fifteen years ago. the...Ch. 5.3 - Prob. 52E Ch. 5.3 - Prob. 53E Ch. 5.3 - A loan of 37,948 with interest at 6.5% compounded...Ch. 5.3 - Prob. 55E Ch. 5.3 - Prob. 56E Ch. 5.3 - Prob. 57E Ch. 5 - Determine whether each of the following statements...Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Determine whether each of the following statements...Ch. 5 - Prob. 8RE Ch. 5 - Prob. 9RE Ch. 5 - Prob. 10RE Ch. 5 - Prob. 11RE Ch. 5 - Prob. 12RE Ch. 5 - Prob. 13RE Ch. 5 - Prob. 14RE Ch. 5 - Prob. 15RE Ch. 5 - Prob. 16RE Ch. 5 - Prob. 17RE Ch. 5 - Prob. 18RE Ch. 5 - Prob. 19RE Ch. 5 - Prob. 20RE Ch. 5 - Prob. 21RE Ch. 5 - Prob. 22RE Ch. 5 - Prob. 23RE Ch. 5 - Prob. 24RE Ch. 5 - Prob. 25RE Ch. 5 - Prob. 26RE Ch. 5 - Prob. 27RE Ch. 5 - Prob. 28RE Ch. 5 - Prob. 29RE Ch. 5 - Prob. 30RE Ch. 5 - Prob. 31RE Ch. 5 - Prob. 32RE Ch. 5 - Prob. 33RE Ch. 5 - Prob. 34RE Ch. 5 - Prob. 35RE Ch. 5 - Prob. 36RE Ch. 5 - Prob. 37RE Ch. 5 - Prob. 38RE Ch. 5 - Prob. 39RE Ch. 5 - Prob. 40RE Ch. 5 - Prob. 41RE Ch. 5 - Prob. 42RE Ch. 5 - Prob. 43RE Ch. 5 - Prob. 44RE Ch. 5 - Prob. 45RE Ch. 5 - Prob. 46RE Ch. 5 - Prob. 47RE Ch. 5 - Prob. 48RE Ch. 5 - Prob. 49RE Ch. 5 - Prob. 50RE Ch. 5 - Prob. 51RE Ch. 5 - Prob. 52RE Ch. 5 - Prob. 53RE Ch. 5 - Prob. 54RE Ch. 5 - Prob. 55RE Ch. 5 - Prob. 56RE Ch. 5 - Prob. 57RE Ch. 5 - Prob. 58RE Ch. 5 - Prob. 59RE Ch. 5 - Prob. 60RE Ch. 5 - Prob. 61RE Ch. 5 - Prob. 62RE Ch. 5 - Prob. 63RE Ch. 5 - Prob. 64RE Ch. 5 - Prob. 65RE Ch. 5 - Prob. 66RE Ch. 5 - Business Investment A developer deposits 84,720...Ch. 5 - Prob. 68RE Ch. 5 - Prob. 69RE Ch. 5 - Prob. 70RE Ch. 5 - Prob. 71RE Ch. 5 - Prob. 72RE Ch. 5 - Prob. 73RE Ch. 5 - Prob. 74RE Ch. 5 - Prob. 75RE Ch. 5 - Prob. 76RE Ch. 5 - Prob. 77RE Ch. 5 - New Car In Spring 2014, some dealers offered a...Ch. 5 - Prob. 79RE Ch. 5 - Prob. 80RE Ch. 5 - Prob. 81RE

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The reason behind the present value of a perpetuity is P = R i .

Solution Summary: The author explains that the present value of an annuity is P=Ri.

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Chapter 5 Solutions