You purchase an annuity for 1000. It pays X at time 1, X (1+g) at time 2, X (1+g)¹-1 at time t, through X(1 + g) 29 at time 30. i = 0.05. (a) Assuming g = 0.03, calculate X. [45.62] (b) Assuming g = 0.05, calculate X. [35.00] (c) Assuming g = 0.07, calculate X. [26.27] (d) Assuming X = 40, calculate g. [4.014%]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. You purchase an annuity for 1000. It pays X at time 1, X(1+g) at time 2, X (1+g)t-1
29
at time t, through X(1 + g)²⁹ at time 30. i = 0.05.
(a) Assuming g= 0.03, calculate X. [45.62]
(b) Assuming g = 0.05, calculate X. [35.00]
(c) Assuming g= 0.07, calculate X. [26.27]
(d) Assuming X = 40, calculate g. [4.014%]
Transcribed Image Text:1. You purchase an annuity for 1000. It pays X at time 1, X(1+g) at time 2, X (1+g)t-1 29 at time t, through X(1 + g)²⁹ at time 30. i = 0.05. (a) Assuming g= 0.03, calculate X. [45.62] (b) Assuming g = 0.05, calculate X. [35.00] (c) Assuming g= 0.07, calculate X. [26.27] (d) Assuming X = 40, calculate g. [4.014%]
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