Question

An investment of $1 each in two different securities led to a value of $11 (Security A) and $16 (Security B), respectively, after 15 years. When comparing the rate of return earned by the two securities, it can be said that
a.)Security B earned a higher average annual rate of return.

b.)Security A earned a higher average annual rate of return.

c.both securities earned the same average annual rate of return.

d.)it is impossible to calculate the securities rates of return based on this information.

Answer 1

Answer:

A

Explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

Security A : 11 = 1( 1 + r)^15

11^(1/15) =  1( 1 + r)

1.173 = 1 + r

r = 1.173 - 1

r = 17.33%

Security A : 16 = 1( 1 + r)^15

16^(1/15) =  1( 1 + r)

1.20 = 1 + r

r = 1.2 - 1

r = 0.2

r = 20%

Security B earned a higher average annual rate of return as 20% is greater than 17.33%