Answer:
No it wont have enough money to build a warehouse in two years.
Explanation:
Firstly we are given that the warehouse is $1 million so the company needs to save this amount of money in two years time.
We know that the company has invested $500000 to date therefore we need to calculate if this $50000 per quarter investment will cover the the other portion for $500000 to meet the warehouse cost of $1 million so we will use the future value annuity formula to calculate this which is :
Fv = C[((1+i)^n -1)/i]
where Fv will be the future value after two years of the $50000 investment
C is the periodic payment of $50000
i is the interest rate per period which is 6% per quarter
n is the number of periods the payment is done here it is 4 x 2years= 8 periods / investments of $50000 that will be done.
thereafter we substitute on the above formula:
Fv = 50000[((1+6%)^8 - 1)/6%]
Fv = $494873.40
then we combine this amount to $500000 to see if it reaches $1 million
$494873.40+ $500000 = $994873.40 which is close to the warehouse cost of $1 million but it does not reach it so the company wont have enough money to purchase the warehouse.
