Question
Please solve correctly Kris will receive $800 a month for the next 5 years from an insurance settlement. The interest rate is 4 percent, compounded
Please solve correctly
Kris will receive $800 a month for the next 5 years from an insurance settlement. The interest rate is 4 percent, compounded monthly, for the first 2 years and 5 percent, compounded monthly, for the final 3 years. What is this settlement worth to him today?
I answered: (But got the question wrong in two attempts)
1st attempt:
Receipt per month = $800
I/YR First 2 years = 4%
Monthly Interest rate in first 2 years = 4 / 12 = 0.3333%
Number of monthly periods = 2 * 12 = 24
Interest rate in final 3 years = 5%
Monthly Interest rate in final 3 years = 5 /12 = 0.4166%
Number of monthly periods in final 3 years = 3 * 12 = 36
Present Value of Cash Receipts
= Present Value of cash receipts in first 2 years + Present Value of cash receipts in final 3 years
= [$800 * PVAF(0.3333%, 24)] + [$800 * PVAF(0.4166%, 25-60]
= [800 * 23.0283] + [$800 * 30.1968]
= 800 * [23.0283 + 30.1968]
= 800 * 53.2251
= $42580.08
2nd attempt:
I=.003333 N==24 PMT=-800 PV= 18422.6
I=.00416667 N=36 PMT=-800 PV=26692.56
I=.003333 N==24 FV=-26692.56 PV= 24643.62
18422.6+4643.62 =43066.62
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