The Number of Periods Needed to Double an Investment When $\mathrm { n } = \frac { \ln 2 } { \ln 1.01 }$

Multiple Choice

The number of periods needed to double an investment when a lump sum is invested at 2%, compounded semiannually, is given by n $\mathrm { n } = \frac { \ln 2 } { \ln 1.01 }$ . Find the number of years before the investment doubles in value, to the
Nearest tenth of a year.

A) 34.8 yr
B) 139.3 yr
C) 17.4 yr
D) 69.7 yr