If capital grows at a rate of 5%, then this will cause output to grow at a rate of 1%.
Given,
Labor's share of output = 60%
Capital's share of output = 40%
Labor grows on a rate of = 5%
Capital grows on a rate of = 5%
Thus, output will grow at a rate of = ?
SR(t) = Δy/Δt/Y - (αΔk/Δt/k(t) + (1-α)(ΔL/Δt/L(t))
Here, α = 60%
So, labor's share = (1 - 0.6) × 5 = 2%
Capitals contribution = 0.4 × 5 = 2%
Implied rate of growth in technology is also given,
SR = (5) - (2+2)
= 1%
Hence, if capital grows at a rate of 5%, then this will cause output to grow at a rate of 1%.
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