A stock index currently stands at 280. The risk-free interest rate is 10% per annum (with semiannual compounding) and the dividend yield on the index is 5% per annum (continuously compounded). The futures price for a six-month contract is closest to the which of following value: a. $235.07
b. $287.09
c. $277.11
d. $340.21

b. $287.09

Explanation:

The computation of the future price of a six month contract is shown below;

Given that

Current stock index = 280

Risk free rate = 10% or 0.10

Dividend yield = 5% or 0.05

Periods (n) = 6 months or 0.5 year

now

Futures price = Current stock index × e^(risk free rate - dividend yield) × n

= 280 × e^(0.10 - 0.05) × 0.5

= 280 × e^(0.05) × 0.5

= 280 × e^(0.025)

= 280 × 1.025315

= $287.09

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. : )

if i need to borrow money for anything, it would be for something like a house or an apartment but, that depend on the situation.

is this good enough?