Question

In: Finance

A 25​-year bond with a face value of $1,000 has a coupon rate of 8.50%​, with semiannual payments.  

 

4)

A 25​-year bond with a face value of $1,000 has a coupon rate of 8.50%​, with semiannual payments.  

a. What is the coupon payment for this​ bond?

b. Enter the cash flows for the bond on a timeline.

a. What is the coupon payment for this​ bond?

The coupon payment for this bond is $ -----. (Round to the nearest​ cent.)

b. Enter the cash flows for the bond on a timeline.

Cash Flow

Amount ​(Round to the nearest​ cent.)​

CF1

CF2

CF49

                    CF50

$ -------

​$ -------

​$ -------

                  $--------

9)

Assume​ Evco, Inc., has a current stock price of $56 and will pay a $2.25 dividend in one​ year; its equity cost of capital is 19%. What price must you expect Evco stock to sell for immediately after the firm pays the dividend in one year to justify its current​ price?

The expected price is $ ----------. (Round to the nearest​ cent.)

2)

Which do you​ prefer: a bank account that pays 8% per year​ (EAR) for three years​ or:

a. An account that pays 4% every six months for three​ years?

b. An account that pays 12% every 18 months for three​ years?

c. An account that pays 0.8% per month for three​ years?

a. An account that pays 4% every six months for three​ years? If you deposit $1 into a bank account that pays 8% per year for three​ years, you will have ​$ ----------------. (Round to five decimal​ places.)

Solutions

Expert Solution

A 25​-year bond with a face value of $1,000 has a coupon rate of 8.50%​, with semiannual payments.

a. What is the coupon payment for this​ bond?

Since the payments are semiannual, the semi annual rate = 8.5%/2 = 4.25% - using this rate, the coupon payment is 4.25%*face value = 0.0425*1000 = $42.5

b. Enter the cash flows for the bond on a timeline

After every 6 months, there will be a coupon payment of $42.5. Hence the cash flows will be as follows:

CF1 CF2 CF3 CF4 CF5 CF6 CF7 CF8 CF9 CF10 CF11 CF12 CF13 CF14 CF15 CF16 CF17 CF18 CF19 CF20 CF21 CF22 CF23 CF24 CF25 CF26 CF27 CF28 CF29 CF30 CF31 CF32 CF33 CF34 CF35 CF36 CF37 CF38 CF39 CF40 CF41 CF42 CF43 CF44 CF45 CF46 CF47 CF48 CF49 CF50
$42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5 $42.5

9)

Assume​ Evco, Inc., has a current stock price of $56 and will pay a $2.25 dividend in one​ year; its equity cost of capital is 19%. What price must you expect Evco stock to sell for immediately after the firm pays the dividend in one year to justify its current​ price?

Which do you​ prefer: a bank account that pays 8% per year​ (EAR) for three years​ or:

a. An account that pays 4% every six months for three​ years?

b. An account that pays 12% every 18 months for three​ years?

c. An account that pays 0.8% per month for three​ years?

Let the principal invested = P. Let us calculate the amount at the end of 3 years in each of the cases

a. There are 6 periods of six months in 3 years. Hence Amount = P*(1+0.04)^(6) = P*1.265319

b. There are 2 periods of 18 months in 3 years. Hence Amount = P*(1+0.12)^(2) = P*1.2544

c. There are 36 periods of one month in 3 years. Hence amount = P*(1+0.008)^36 = P*1.33223

In the first case, the amount at 8% annually for 3 years = P*(1+0.08)^3 = P*1.259712

Clearly, the option c is the best option as the amount is the greatest after 3 years

If you deposit $1 at 8% for 3 years, amount as calculated above = 1*1.259712 = 1.25971 approx


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