Goofy Inc.'s bonds currently sell for $925. They pay a $80 annual coupon, have a 25-year maturity, and a $1,000 par value. Compute the expected capital gain percentage for this year. (State as a percent, but do not include the percent sign and round to the second decimal place. Thus, 9.8765% would be written as 9.88 to be correct). (Hint: first compute the YTM and then find the capital gain.
Par Value = $1,000
Current Price = $925
Annual Coupon = $80
Time to Maturity = 25 years
Let Annual YTM be i%
$925 = $80 * PVIFA(i%, 25) + $1,000 * PVIF(i%, 25)
Using financial calculator:
N = 25
PV = -925
PMT = 80
FV = 1000
I = 8.75%
Yield to Maturity = 8.75%
Dividend Yield = Annual Coupon / Current Price
Dividend Yield = $80 / $925
Dividend Yield = 0.0865 or 8.65%
Capital Gain Yield = Yield to Maturity - Dividend Yield
Capital Gain Yield = 8.75% - 8.65%
Capital Gain Yield = 0.10%
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