Suppose a State of California bond will pay $1,000 eight years from now. If the going interest rate on these 8-year bonds is 5.5
1 answer:
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Answer:
A) $24,602
Explanation:
We can solve this question by finding the periodic deposits needed by using the formula:
where:
FV= future value = $220,000
PMT = periodic deposits required = ???
i = effective interest rate per period = 0.0331
n= number of deposits = 8
However, since the interest is compounded monthly, let's also calculate the effective interest rate
Effective interest rate =
where; r = 12.5% = 0.125
= 0.1324
Interest rate per period =
= 0.0331
Then;
220,000 = PMT × 8.986
PMT =
PMT = $ 24,482.5
Since A) $24,602 is closer to $ 24,482.5
Therefore, $ $24,602 must be deposited every three months