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Homework answers / question archive / 1) A bond has $1,000 par value, 20 years to maturity, a 9% annual coupon and sells for $925

1) A bond has $1,000 par value, 20 years to maturity, a 9% annual coupon and sells for $925

Finance

1) A bond has $1,000 par value, 20 years to maturity, a 9% annual coupon and sells for $925.00. What is its yield to maturity?

 2). Chick-Fil-A bonds currently sells for $1,025. They have a 9 year maturity, an 8% annual coupon, and a par value of $1,000. What is its yield to maturity?

3). Lennys Sub Shop just paid a dividend of $2.00 a share (this is Do = $2.00). The dividend is expected to grow 0% a year for the next 3 years and then a 6% a year thereafter. 

What is the expected dividend per share for Year 3?

4). Lennys Sub Shop just paid a dividend of $2.00 a share (this is Do = $2.00). The dividend is expected to grow 0% a year for the next 3 years and then a 6% a year thereafter.

What is the expected dividend per share for Year 4

5). Brigham and Houston just paid a dividend of $2.00 a share (that is Do = $2.00). The dividend is expected to grow 30% a year for the next 3 years and then at a 6% a year thereafter. 

What is the expected dividend per share for Year 2?

6). Brigham and Houston just paid a dividend of $2.00 a share (that is Do = $2.00). The dividend is expected to grow 30% a year for the next 3 years and then at a 6% a year thereafter.

What is the expected dividend per share for Year 4?

7). Java City is expected to pay a dividend of $1.00 per share at the end of the year. The required rate of return is 11%. The dividend is expected to grow at a constant rate of 8.5% a year. What is the stocks value per share?

8). The Okra Corporation last dividend was $1.00. Its dividend growth rate is expected to be constant at 15% for 2 years, after which dividends are expected to grow at a rate of 10% forever. Okra's required rate of return is 12%. Okra's horizon or terminal date is :

9). Chick-Fil-A bonds currently sells for $1,025. They have a 9 year maturity, a 7% annual coupon, and a par value of $1,000. What is its current yield?

10). Ferris Inc. bonds currently sell for $1,572 and have a par value of $1,000. They pay a $120 annual coupon and have a 20 year maturity, but they can be called in 5 years at $1,120. What is there yield to call (YTC) if they are called?

11). The Okra Corporation last dividend was $2.00. Its dividend growth rate is expected to be constant at 15% for 2 years, after which dividends are expected to grow at a rate of 12% forever. Okra's required rate of return is 14%. What is Okra's intrinsic value :

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1). We can calculate the yield to maturity by using the following formula in excel:-

=rate(nper,pmt,-pv,fv)

Here,

Rate = Yield to maturity

Nper = 20 periods

Pmt = Coupon payment = $1,000*9% = $90

PV = $925

FV = $1,000

Substituting the values in formula:

= rate(20,90,-925,1000)

= 9.87%

 

2). We can calculate the yield to maturity by using the following formula in excel:-

=rate(nper,pmt,-pv,fv)

Here,

Rate = Yield to maturity

Nper = 9 periods

Pmt = Coupon payment = $1,000*8% = $80

PV = $1,025

FV = $1,000

Substituting the values in formula:

= rate(9,80,-1025,1000)

= 7.61%

 

3). Computation of the expected dividend for year 3 (D3):-

D3 = D0*(1+Growth rate)^n

= $2*(1+0%)^3

= $2

 

4). Computation of the expected dividend for year 4 (D4):-

D3 = D0*(1+Growth rate)^n

= $2*(1+0%)^3

= $2

D4 = D3*(1+Growth rate)^n

= $2 * (1+6%)^1

= $2.12

 

5). Computation of the expected dividend for year 2 (D2):-

D2 = D0*(1+Growth rate)^n

= $2*(1+30%)^2

= $2*1.69

= $3.38

 

6). Computation of the expected dividend for year 4 (D4):-

D4 = $2*(1+30%)^3*(1+6%)

= $2*2.197*1.06

= $4.66

 

7). Computation of value of stock per share:-

Value of stock = D1 / (Required return - Growth rate)

= $1 / (11% - 8.5%)

= $1 / 2.5%

= $40

 

8). Computation of the horizon value:-

D1 = D0*(1+Growth rate)

= $1*(1+15%)

= $1.15

D2 = D1*(1+Growth rate)

= $1.15*(1+15%)

= $1.32

Horizon value = D3/(Required return - Growth rate)

= $1.32*(1+10%)/(12%-10%)

= $1.45 / 2%

= $72.74

 

9). Computation of the current yield:-

Current yield = Annual coupon payment / Current selling price

= $1,000*7% / $1,025

= $70 / $1,025

= 6.83%

 

10). We can calculate the yield to call by using the following formula in excel:-

=rate(nper,pmt,-pv,fv)

Here,

Rate = Yield to call

Nper = 5 periods

Pmt = Coupon payment = 120

PV = $1,572

FV = Call price = $1,120

Substituting the values in formula:

= rate(5,120,-1572,1120)

= 2.12%

11). Intrinsic value of stock = $118.03