Consider two perfectly negatively correlated risky securities, k and l. k has an expected rate of return of 13% and a standard deviation of 19%. l has an expected rate of return of 10% and a standard deviation of 16%. the risk-free portfolio that can be formed with the two securities will earn rate of return.

risk free rate of return is  = 11.37 %

Explanation:

given data

K expected rate of return = 13%

K standard deviation = 19%  = 0.19

L expected rate of return = 10%

L standard deviation = 16% = 0.16

to find out

risk-free portfolio rate of return

solution

first we find here weight of each portfolio

weight of K =      ..................1

weight of K =

weight of K = 0.4571 = 45.71%

and

weight of L = 1 - 0.4571

weight of L = 0.5428 = 54.28 %

so that

risk free rate will be here

risk free rate = ( weight of K × K expected rate of return  ) + ( weight of L + L expected rate of return  )    ..........................2

risk free rate = ( 45.71 % × 13 % ) + ( 54.28 % + 10% )

risk free rate = 11.37 %

answer; i believe the answer is 40,600,000;

the answer choices are:

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hopefully someone can answer the question now lol