
Explanation:
Calculation:
Holding Period Return (HPY) = (Ending Value + Income - Beginning Value) / Beginning Value
Where:
$1,020 (sale price)$30 + $30 = $60 (two coupon payments)$910 (purchase price)HPY = ($1,020 + $60 - $910) / $910
HPY = ($170) / $910
HPY = 0.1868 or 18.68% ≈ 18.7%
Explanation: The holding period return includes both the capital gain/loss and any income received during the holding period. In this case:
$1,020 - $910 = $110$30 × 2 = $60$110 + $60 = $170$170 / $910 = 18.7%Option A (12.1%) would be incorrect if only considering capital gain or miscalculating the income. Option C (6.0%) might be a miscalculation of only one coupon payment or ignoring the capital gain.
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A bond was purchased exactly one year ago for $910 and was sold today for $1,020. During the year, the bond made two semi-annual coupon payments of $30. What is the holding period return?
A
12.1%.
B
18.7%.
C
6.0%.
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