What is the Capital Gain/Loss Yield (CGY) on an 8-year, 6% annual coupon, par value bond that costs $800 today?
(Answer as a whole number percentage - i.e. 7.25, not 0.0725)
(Solve for the CY and YTM)
Face Value = $1,000
Current Price = $800
Annual Coupon Rate = 6%
Annual Coupon = 6%*$1,000 = $60
Time to Maturity = 8 years
Let annual YTM be i%
$800 = $60 * PVIFA(i%, 8) + $1,000 * PVIF(i%, 8)
Using financial calculator:
N = 8
PV = -800
PMT = 60
FV = 1000
I = 9.71%
Annual YTM = 9.71%
Dividend Yield = Annual Coupon / Current Price
Dividend Yield = $60 / $800
Dividend Yield = 0.075 or 7.5%
Capital Gains Yield = Annual YTM – Dividend Yield
Capital Gains Yield = 9.71% - 7.5%
Capital Gains Yield = 2.21%
Get Answers For Free
Most questions answered within 1 hours.