Tropical Resort, Inc.'s bonds currently sell for $1,350 and have a par value of $1,000. They pay an 11% coupon rate with interest paid semi–annually, and have a 15-year maturity, but they can be called in 7 years at $1,125. What is their yield to call (YTC)?

Their yield to call is 8.672%

Explanation:

The rate of return bondholders receives on a callable bond until the call date is called Yield to call.

Use following formula to calculate the yield to call

Yield to Call = [ C + ( F - P ) / n ] / [ (F + P ) / 2 ]

Where

C = Coupon Payment = $1,000 x 11% x 6/12 = $55

F = Face value = $1,000

P = Call price = $1,125

n -= number of periods to call = 7 years x 2 = 14 periods

Yield to Call = [ $55 + ( $1,000 - $1,125 ) / 14 ] / [ ( $1,000 + $1,125 ) / 2 ]

Yield to Call = 46.07 / $1,062

Yield to Call = 0.04336

Yield to Call = 4.336% semiannually

Yield to Call = 4.336% x 2

Yield to Call = 8.672% annually

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