Answer: it will take 23.4 YEARS for the debt to double.
Explanation:
Given that;
formula for maturity value on simple discount loan M = P / ( 1 - dRT )
loan's annual simple discount rate = 2.14%
our dR given as 2.14% = 2.14/100 = 0.0214
from the question, if the debt double i means M = 2P
so
2P = P / ( 1 - dRT )
we substitute
2P = P / 1 - (0.0214)T
T = 1 / 2*0.0214
T = 1 / 0.0428
T = 23.3644 = 23.4 YEARS
therefore it will take 23.4 YEARS for the debt to double.