holdy Inc's bonds currently sell for $1,275. They pay a $120 annual coupon and have a 20-year maturity, but they can be called in 5 years at $1,120. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. What is the difference between the bond's YTM and its YTC?

Yield to maturity (YTM) is 1.91% higher than yield to call (YTC).

Explanation:

YTM = {coupon + [(face value - market value)/n]} / [(face value + market value)/2]

YTM = {$120 + [($1,000 - $1,275)/20]} / [($1,000 + $1,275)/2] = $106.25 / $1,137.50 = 9.34%

YTC = {coupon + [(call price - market value)/n]} / [(call price + market value)/2]

YTC = {$120 + [($1,120 - $1,275)/5]} / [($1,120 + $1,275)/2] = $89 / $1,197.50 = 7.43%

9.34% - 7.43% = 1.91%

the answer is i don't know

you will have $2593.74 in 10 years if you set aside $1,000 at 10%

you will have $9321.91 in 20 years if you set aside $2000 at 8%

you will have $1469.32 in 5 years if you set aside $1000 at 8%

you will have $1296.87 in 10 years if you set aside $500 at 10%

you will have $239.66 in 15 years if you set aside $100 at 6%

you will have $4660.96 in 20 years if you set aside $1000 at 8%