In a two period model, a consumer is maximizing the present discounted utility
ππ‘ = ln(ππ‘) +\(\frac{ 1}{ 1 + }\) ln(ππ‘+1)
with respect to ππ‘ and ππ‘+1 and subject to the following budget constraint
\(π_π‘ +\frac{ π_π‘+1}{ 1 + π} β€ π¦_π‘ +\frac{ π¦_π‘+1 }{1 + π }\)
where ππ and π¦π are the consumption and income in period π (π = π‘,π‘ + 1) respectively, π β [0, β) is the time discount rate and π β [0, β) is the rate of interest. Suppose, consumer is in the interior equilibrium and π = 0.05 and π = 0.08. In equilibrium, the ratio \(\frac{π_π‘+1}{ π_π‘}\) is equal to _____ (round off to 2 decimal places).