(b) Find the time path of capital K(t) given the following rates of net investment flow functions (i) I(t) = 10t2 + 5 K(0) = 50 (ii) I(t) = 18t - 2 K(0) = 24 (ii) 1(1) = 30t4 K(0) = 35 (iv) I(t) = 23t K(0) = 15 (c) For each of (i) to (iv) in b above, find the amount of capital formation over the time interval (2,5]

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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(b) Find the time path of capital K(t) given the following rates of net investment flow
functions
(i)
I(t) = 10t12 + 5
K(0) = 50
(ii)
I(t) = 18t5 - 2
K(0) = 24
(iii) I(t) = 30t4
K(0) = 35
(iv) I(1) = 23t
K(0) =15
(c) For each of (i) to (iv) in b above, find the amount of capital formation over the time
interval (2,5]
Transcribed Image Text:(b) Find the time path of capital K(t) given the following rates of net investment flow functions (i) I(t) = 10t12 + 5 K(0) = 50 (ii) I(t) = 18t5 - 2 K(0) = 24 (iii) I(t) = 30t4 K(0) = 35 (iv) I(1) = 23t K(0) =15 (c) For each of (i) to (iv) in b above, find the amount of capital formation over the time interval (2,5]
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