Question

Problem 6-5 (Part Level Submission) Julia Baker died, leaving to her husband John an insurance policy contract that provides(b) (b) $4,040 every 3 months payable at the end of each quarter for 5 years. (Round factor values to 5 decimal places, e.g.(C) (C) $19,160 immediate cash and $1,916 every 3 months for 10 years, payable at the beginning of each 3-month period. (Roun

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Answer #1

note: only three options are visible in the question posted.

(a)

present value of $55260 = $55260

(b)

present value of annuity = annuity x PVAF

= $4040 x 15.58916

= $62,980

where,

interest rate = 2.5%

Number of periods = 5 x 4 = 20

PVAF(2.5%, 20) = 15.58916

(c)

present value of $19160 = $19160

present value of annuity due = annuity x PVAF

= $1916 x 25.73034

= $49,299

where,

interest rate = 2.5%

Number of periods = 10 x 4 = 40

PVAF(2.5%, 40) = 25.73034

therefore,

total present value = $$19160 + $49299

= $68459

CONCLUSION: Option (c) having largest present value $68459 is the best option.

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