A.B.%24QUANTITATIVE TECHNIQUES I (2021_22)OINHOQuantitative Techniques I (2021 22)DashboardMy coursesQT I For B.G. Post Xm17. The terminal value of an investment for T years at anannually compounded rate, r is given byVT = P[1+ (1+r)+(1+r)²+...+(1+r)T-1].What is the value of VT in terms of P, r and T.%DP((1+r)™-1)(1+Pr)"–1)B.r – 1(P(1+r)™-1–1)P(1+r)"-1)D.§ion=D17ASUS ZenBook81f1261E.4.6.0.6

The terminal value of an investment for T years at an annually compounded rate, r is…

Answered: 17. The terminal value of an investment…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The formula for computing the amount of money in a savings account with an r% annual in- r t erest rate (compounded each year) t years after opening with $P is given by A(t) = P (1 + 100 o compound each year (or annually) means that the interest is computed and added to the ac- ount once a year. The interest the next year is computed on the new account value (with the revious year's interest included). 1. Eloisa plans to put $200 in a savings account with a 3.5% annual interest rate. (a) Write a function for how much money will be in the account in t years. (b) How much will be in the account after 5 years? (c) How long will it take to have $400 in the account? Explain how you found your answer.
In the compound interest example on P.344. Calculate S20 and T240. Which is the better investment after 20 years?
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A savings account with an interest rate r, which is compounded n times per year, and begins with P as the principal (initial amount), has the discrete nt compounding formula A (t) = P(1+)". This is n because we multiply the amount by itself plus a small amount, determined by the interest rate, and the account grows each time the compounding occurs. For continuous compounding, we use the formula A (t) = Pert , and if we have seen this formula before, we may not have gotten a satisfactory answer as to why we use it, other than some vague notion of "compounding infinity times per year". In this exercise, we'll use Bernoulli's Rule to find the connection. It might be helpful to review the "Indeterminate Powers" section of the video before beginning. Why can we write nt lim,→00 P(1+ )"t P limn¬∞ (1+)™ ? n
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17. The terminal value of an investment for T years at a annually compounded rate, r is given by VT = P[1+ (1+r)+(1+r)²+...+(1+r)T-1]. What is the value of VT in terms of P, r and T. %3D