Answer:
4.93 Years
Explanation:
Detailed calculation of the answer is given below. Note the following:
1) The Cash flows and Cumulative Cash flows are written without rounding off (as mentioned in question not to round off intermediate calculations)
2) The final answer is given in two decimal places (as mentioned in question)
Year Cash flows ($) Cumulative Cash flows ($)
0 (30,000) (30,000)
1 7,272.727272727 (22,727.272727272)
2 6,611.570247933 (16,115.702479338)
3 6,010.518407212 (10,105.182072126)
4 5,464.107642920 (4,641.076429205)
5 4,967.370584473 326.294155267
6 4,515.791440430 4,842.085595697
7 4,105.264945845 8,947.350541543
8 3,732.059041677 12,679.409583221
Discounted Payback Period = 4 + (4641.076429205/4967.370584473)
= 4.93 Years