Eric wants to invest in government securities that promise to pay $1,000 at maturity. The opportunity cost (interest rate) of holding the security is 13.80%. Assuming that both investments have equal risk and Ericâs investment time horizon is flexible, which of the following investment options will exhibit the lower price? a. An investment that matures in four years
b. An investment that matures in five years

The second option which 5 years to maturity exhibited a lower price of

$523.95  

Explanation:

In order to ascertain the option with lower, it is important we determine the price of each investment based on the fact the price of an investment opportunity today is the present value of its future cash flow is the maturity value of $1000 in both cases:

a.

PV=FV/(1+r)^n

PV=price of investment

FV=future value=$1000

r= 13.80%.

n=4 years

PV=$1000/(1+13.80%)^4

PV=$596.25

b.

PV=FV/(1+r)^n

PV=price of investment

FV=future value=$1000

r= 13.80%.

n=5 years

PV=$1000/(1+13.80%)^5

PV= $523.95  

x=3

step-by-step explanation:

this is really simple i saw that there was only one term (5x) and thought if that was 15 what would i have to multiply everything else to get it there? well if 5x became 15 then x would have to be 3 so plug the 3 in the x for the other equations and you get 15 for the other ones. so there you go. : )

i just took the test and it is financing