Answer:
a) Cash balance reduction= $399,000
b) Dollar return= $53.34
c) Maximum monthly charge end of each month = $1625.53
d) Maximum monthly charge beginning of the month = $1618.93
Explanation:
Given:
•Average daily collections = $133,000
• Daily required rate of return = 5%
a) To find the cash balance reduction, we have:
3days * $133,000 = $399,000
b) let's use the frormula:
[tex] (1 + r)^\frac{^1}{^3^6^5} - 1 [/tex]
= [tex] (1 + 0.5)^\frac{^1}{^3^6^5} - 1 [/tex]
= 0.00013368
Therefore, the dollar return will be:
$399,000 * 0.00013368 = $53.33833
Dollar return = $53.34
c) we need to find the monthly rate:
[tex] (1 + 0.5)^\frac{^1}{^1^2} - 1 [/tex]
[tex] = (1.05)^\frac{^1}{^1^2} - 1 [/tex]
= 1.004074 - 1 = 0.004074
Max monthly charge at end of month wil be:
$399,000 * 0.004074 = $1625.526
d) [tex] (1 + 0.06)^\frac{^1}{^1^2} - 1 = [/tex]
1.004074 - 1 = 0.004074
Max monthly charge at beginning of the month:
[tex] \frac{$399,000 * 0.004074}{1.004074} [/tex] = $1618.9305