$13$ Childs, Inc. has a cost of capital of $9$ percent and is invested in a project that has the following cash flows over the next $6$ quarters. If interest is compounded quarterly, what is the effective annual rate of return for this project? $($Round to $6$ decimal places throughout.$)$

a$.64\mathrm{.}18$ percent

b$.13\mathrm{.}86$ percent

c$.34\mathrm{.}66$ percent

d$.56\mathrm{.}94$ percent

e$.13\mathrm{.}19$ percent