Answer: Philip can earn back his initial investment in 12.4 years
Step-by-step explanation:
Amount Invested by Philips in period annuity = 800,000
Annual Percentage Rate (APR) = 5.2%
APR compounded monthly for a period of 20 years.
Amount to be received per annuity period = 800,000 * (((1+(0.052/12))^240)*(0.052/12))/(((1+0.052/12))^240)-1)
= 5368.43
Time taken ( in months ) by Philip to earn back his initial investment = 800,000/5368.43 = 149.02 months
Time taken ( in years ) by Philip to earn back his initial investment = 149.02/12 = 12.4 years
Hope it helps.
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