The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods is 1. Find (1 + i)2n. Hint: vn + v²n = 1. This quadratic equation in o".

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please answer no. 4 only
(3) It is known that an invest
sum of the present values of
5000 will increase to
40,000 at the end of 20 years. Find the
payments of 100.000 each which will occur at the end of 20,
= (1 + i)-t for t = 20, 40, 00
10, and ou years. Find first 1 + i then v
(4) The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods
is 1. Find (1 + i)2n. Hint: on +²n = 1. This quadratic equation in o".
Transcribed Image Text:(3) It is known that an invest sum of the present values of 5000 will increase to 40,000 at the end of 20 years. Find the payments of 100.000 each which will occur at the end of 20, = (1 + i)-t for t = 20, 40, 00 10, and ou years. Find first 1 + i then v (4) The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods is 1. Find (1 + i)2n. Hint: on +²n = 1. This quadratic equation in o".
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