Kofi Noel holds the following portfolio:

Stock Investment Beta

A $$108,0001\mathrm{.}40$

B $$45,0000\mathrm{.}80$

C $$60,0001\mathrm{.}00$

D $$87,0001\mathrm{.}20$

Total $$300,000$

Kofi plans to sell Stock A and replace it with Stock E$,$ which has a beta of $0\mathrm{.}40.$ By how much will the portfolio beta change? Do not round your intermediate calculations.

a$.-0\mathrm{.}200$

b$.-0\mathrm{.}250$

c$.-0\mathrm{.}144$

d$.-0\mathrm{.}090$

e$.-0\mathrm{.}360$