Question

What is the Capital Gain/Loss Yield (CGY) on an 8-year, 6% annual coupon, par value bond...

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)

Homework Answers

Answer #1

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%

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