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1 answer:
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Answer:
$106,595
Explanation:
Given:
Initial market rate = 9%
Dropped market interest rate, r = 7% per year
or
= 7% × [6 ÷ 12]
= 3.5% = 0.035
Remaining time, n = 9 years = 18 semi annual periods
Now,
Value of the bond at the retirement
= [ PVAF × Interest payment] + [ PVF × face value]
here,
Present value of annuity factor, PVAF =
or
PVAF =
or
PVAF = 13.189
And,
Interest payment = $100,000 × 8% × [6 ÷ 12 ] [since, 8% bonds]
= $4000
Present value factor =
= 0.538
par value = $100,000
= [13.189 × $40] + [0.538 × 100,000]
= 52,758.7316 + 53,836.114
= $106,595
Hence,
The correct answer is option $106,595