A 10-year bond that pays coupon semi-annually at a coupon rate of 9% is priced at $ 900 at its issuance. What is the Yield to Maturity of the Bond? If it is called back 3-years after the issuance will a call premium of 5%. What is its Yield to Call? (12 points)

YTM = 10.53%

YTC = 14.36%

Explanation:

the yield to maturity (YTC) formula is:

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

YTM = {$45 + [($1,000 - $900)/20]} / [($1,000 + $900)/2] = $50 / $950 = 5.26 x 2 coupons per year = 10.53%

the yield to call (YTC) formula is:

YTC = {$45 + [($1,050 - $900)/6]} / [($1,050 + $900)/2] = $70 / $975 = 7.179 x 2 = 14.36%

two years ago, when picking flowers in the mountains back of yosemite valley, i found a book. it was blotted and storm-beaten; all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however; many of the inner pages were well preserved. and although all were more or less stained and torn, whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today; its granite pages have been torn and blurred by the same storms that wasted the castaway book.

two years ago, when picking flowers in the mountains back of yosemite valley; i found a book. it was blotted and storm-beaten, all of its outer pages were mealy and crumbly. the paper seemed to dissolve like the snow beneath which it had been buried, however, many of the inner pages were well preserved. and although all were more or less stained and torn; whole chapters were easily readable. this is the condition of the great open book of yosemite glaciers today, its granite pages have been torn and blurred by the same storms that wasted the castaway book.