Answer :

The standard deviation of the returns on a portfolio that is invested 37 percent is 1.66 percent

This is further explained below.

What is the standard deviation?

Generally,

E. 3.41 percent

E(r)Boom = (0.37 *0.14) + (.0.48* 0.16) = 0.1286

E(r)Normal = (0.37 *0.08) + (0.48 0.11) = 0.0824

E(r)Portfolio = (0.10 *  0.1286) + (0.90 *0.0824) = 0.08702

VarPortfolio = [0.10 (0.1286 - 0.08702)2] + [0.90 (0.0824 - 0.08702)2] = 0.000

Std dev = 0.000274 = 1.66 percent

In conclusion,

Std dev = 0.000274 = 1.66 percent

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CQ

What is the standard deviation of the returns on a portfolio that is invested 37 percent in stock Q and 48 percent in stock R?

state probability return

Q R

boom 10% 14% 16%

normal 90% 8% 11%