Answer:
728,839.57883 per quarter.
Explanation:
1. Effective Annual Rate = 10%
Effective rate continuously compounded = eln(1+r) - 1
ln(1.1) = 0.09531018
Montly rate = 0.09531018/12 = 0.07942515
e0.07942515 -1 = 0.00797414
Hence, monthly continuous rate =
0.797414%
2. Effective Quarterly rate
= (1+(Rate per year/52))Number of weeks
=(1+Rate per quarter)4,
(1+(0.15/52))208=(1+r)4,
r = 16.1583394% per quarter
Now, using the PMT function in excel,
=PMT(16.1583394%,16,-4100000)
728,839.57883
per quarter
Therefore In order to earn 15% per year compounded weekly on its investment at the end of each quarter, the company will have to get $728,839.57883
