need steps Your broker has just called and offered you the choice of two bonds.
ID: 2642182 • Letter: N
Question
need steps Your broker has just called and offered you the choice of two bonds. Both Bonds have a face value of $1,000. Bond A does not have a Call Provision, matures in seven (7) years, carries a Coupon Rate of 4.62% and has a market price of $974. Bond B matures in fifteen (15) years, carries a Coupon Rate of 4.09%, has a market price of $1,000, but has a Call Provision for all the Bonds in year ten (10). The Call Premium is 7.6%. Interest rates have been coming down, the Federal Reserve Bank has said they will continue to lower rates, and both you and your broker are convinced that Bond B will be called in year seven (7). It turns out you need the money in 7 years. a. What is the Yield to Maturity on Bond A? b. What is the Yield to Maturity on Bond B? . c. What is the 7-year Yield to Call on Bond B? d. Which bond should you buy? Answer exactly with either ''Bond A'' or ''Bond B'', without the quotation marks of course. Values for Values for Bond Information Bond A Bond BExplanation / Answer
a.Yield to maturity (YTM) on Bond A:
Yield to Maturity = C + (F-P)/n whole divided by (F+P) / 2
Where,
C = Coupon or interest payment = 1000* 4.62 % = 46.20 (Interest is always paid on face value and not on selling price)
F = Face value = $1000
P = Price of the bond = $ 974 (Market value or selling price of the bond)
And n = years to maturity = 7 years
The YTM is calculated in 3 steps as follows:
Step 1: (F- P) / 2 = (1000-974)/ 7 =26/7 = 3.714
Step 2: (F+P) / 2 = (1000+974) / 2 =1974/2 =987
Step 3: 46.20+ 3.714 / 987 =49.914/987 = 0.05056 or 5.06 % (approx.)
b. Yield to Maturity on Bond B
Yield to Maturity = C + (F-P)/n whole divided by (F+P) / 2
Where,
C = Coupon or interest payment = 1000* 4.09 % = 40.90 (Interest is always paid on face value and not on selling price)
F = Face value = $1000
P = Price of the bond = $ 1000 (Market value or selling price of the bond)
And n = years to maturity = 15 years
The YTM is calculated in 3 steps as follows:
Step 1: (F- P) / 2 = (1000-1000)/ 15 = 0
Step 2: (F+P) / 2 = (1000+1000) / 2 =2000/2 =1000
Step 3: 40.90+ 0 / 1000 =40.90/1000 = 0.0409 or 4.09 % (approx.)
c. 7 year Yield to call on Bond B:
Yield to call = Coupon payments + (Call price
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