Bonds issued by XYZ have a par value of $1000, were priced at $1,140.00 six months ago, and are priced at $1,060.00 today. The bonds pay semi-annual coupons and just made a coupon payment. If the bonds had a percentage return over the past 6 months (from 6 months ago to today) of -1.20%, then what is the current yield of the bonds today?
a. |
11.64% (plus or minus 0.05 percentage points) |
|
b. |
9.54% (plus or minus 0.05 percentage points) |
|
c. |
10.58% (plus or minus 0.05 percentage points) |
|
d. |
12.51% (plus or minus 0.05 percentage points) |
|
e. |
None of the above is within 0.05 percentage points of the correct answer |
1. Computation of Semi Annual Coupon
(Sale price - Purchase price + Semi Annual Coupon) / Purchase price = Percentage Return
(1060 - 1140 + Semi Annual Coupon) / 1140 = -1.20%
(- 80 + Semi Annual Coupon) = $13.68
Semi Annual Coupon = $93.68
2. Annual Coupon = $93.68 * 2 = $187.36
3. Current Yield = Annual Coupon / Current Price
Current Yield = $187.36 / 1060
Current Yield = 17.68%
Option E is correct None of the above is within 0.05 percentage points of the correct answer
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