McCue Inc.'s bonds currently sell for $1,250. They pay a $90 annual coupon, have a 25-year maturity, and a $1,000 par value, but they can be called in 5 years at $1,050. 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 this bond's Yield to Maturity and its Yield to Call?

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amcool amcool · Answer 1 · 2021-03-26T03:30:52+01:00

Answer:

YTM = 6.88%.

YTC = 4.26%.

Explanation:

a. Calculation of Yield to Maturity (YTM)

The bond's Yield to Maturity can be calculated using the following RATE function in Excel:

YTM = RATE(nper,pmt,-pv,fv) .............(1)

Where;

YTM = yield to maturity = ?

nper = number of periods = number of years to maturity = 25

pmt = annual coupon payment = $90 = 90

pv = present value = current bond price = $1,250 = 1250

fv = face value or par value of the bond = 1000

Substituting the values into equation (1), we have:

YTM = RATE(25,90,-1250,1000) ............ (2)

Inputting =RATE(25,90,-1250,1000) into excel (Note: as done in the attached excel file), the YTM is obtained as 6.88%.

Therefore, YTM is 6.88%.

b. Calculation of Yield to Call (YTC)

The bond's Yield to call can be calculated using the following RATE function in Excel:

YTC = RATE(nper,pmt,-pv,fv) .....................(3)

Where;

YTM = yield to call = ?

nper = number of periods = number of years to call = 5

pmt = annual coupon payment = $90 = 90

pv = present value = current bond price = $1,250 = 1250

fv = future value of the bond or the amount at which the bond can be called = $1,050 = 1050

Substituting the values into equation (3), we have:

YTM = RATE(5,90,-1250,1050) ............ (4)

Inputting =RATE(5,90,-1250,1050) into excel (Note: as done in the attached excel file), the YTC is obtained as 4.26%.

Therefore, YTC is 4.26%.