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baherus [9]
3 years ago
13

A 30-year maturity bond making annual coupon payments with a coupon rate of 8.5% has duration of 12.88 years and convexity of 23

5.95. The bond currently sells at a yield to maturity of 7%. a. Find the price of the bond if its yield to maturity falls to 6%. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Price of the bond b. What price would be predicted by the duration rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Predicted new price (duration rule) c.What price would be predicted by the duration-with-convexity rule? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Business
1 answer:
marin [14]3 years ago
4 0

Answer:

a. Predicted Price = $1815.52

b. Predicted Price = $1,834.64

c. Predicted Price = $1425.4

Explanation:

The actual price of the bond as a function of yield to maturity is:

Yield to maturity --- Price

7% $1,620.45

8% $1,450.31

9% $1,308.21

a.

Using the Duration Rule, assuming yield to maturity falls to 6%:

Predicted price change = (-D/(1 + y)) * ∆y * Po

Where D = Duration = 12.88 years

y = YTM = 7%

∆y = 6% - 7% = -1%

Po = $1,620.45

So, Predicted Change = (-12.88/(1 + 0.07)) * -0.01 * 1,620.45

Predicted Change = 195.0597757009345

Predicted Change = $195.06 ----- Approximated

Therefore the new Predicted Price

= $1,620.46 + $195.06

= $1815.52

b.

Using Duration-with-Convexity Rule, assuming yield to maturity falls to 6%

Predicted price change

= [(-12.88/(1 + 0.07)) * (-0.01) + (½ * 235.95 * (-0.01²))] * 1,620.45

= 214.1770345759345

= $214.18 ------ Approximated

Therefore the new Predicted Price

= $1,620.46 + $214.18

= $1,834.64

c.

Using the Duration Rule, assuming yield to maturity rise to 8%:

Predicted price change = (-D/(1 + y)) * ∆y * Po

Where D = Duration = 12.88 years

y = YTM = 7%

∆y = 8% - 7% = 1%

Po = $1,620.45

So, Predicted Change = (-12.88/(1 + 0.07)) * 0.01 * 1,620.45

Predicted Change = -195.0597757009345

Predicted Change = -$195.06 ----- Approximated

Therefore the new Predicted Price

= $1,620.46 - $195.06

= $1425.4

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A Japanese company has a bond outstanding that sells for 87 percent of its ¥100,000 par value. The bond has a coupon rate of 4.3
PSYCHO15rus [73]

Answer:

YTM = 12.66%

Explanation:

FV = ¥100,000

PV = 0.87 x  ¥100,000

PV=  ¥87,000

Coupon payment = 4.3% x ¥100,000

Coupon payment = ¥4300 per year

N = 18 years

YTM = ?

We would simply plug these values into a financial calculator

https://www.calculator.net/finance-calculator.html?ctype=returnrate&ctargetamountv=1000000&cyearsv=18&cstartingprinciplev=87000&cinterestratev=6&ccontributeamountv=4300&ciadditionat1=end&printit=0&x=0&y=0

YTM = 12.66%

8 0
3 years ago
Suppose that there is asymmetric information in the market for used cars. Sellers know the quality of the car that they are​ sel
denis23 [38]

Answer:

A buyer would be willing to pay at most $24,000.

Explanation:

There is a 40% chance of getting low quality cars.

Value of high quality car is $30,000.

Value of low quality car is $15,000.

Price of car that buyer will be willing to pay

=40% of lower quality+60% of higher quality

=40% of $15,000+60% of $30,000

=0.4*15,000+0.6*30,000

=$6,000+$18,000

=$24,000

So, the buyers will be willing to pay a maximum value of $24,000.

8 0
2 years ago
An irate caller reaches you and starts berating your company’s service on a particular product that has been controversial. You
inn [45]

Answer:

B. Listen carefully to the caller, take their number, and promise to get the appropriate person to call back to resolve any issues.

Explanation:

This can be a stressful situation but according to some researchers, it is important that companies train its employees to deal effectively with this kind of situations that can happen at any time. Most important things to take into account to deal with this irate customers and keep the commercial relationship are:

1. Stay calm and don't take things personally.

2. Listen carefully and if pertinent express your apologies.

3. Stand firm and be respectful, but letting them know that there is no need to insult or be rude.

4. Solve the problem and do follow up.

8 0
3 years ago
The exercise value is also called the strike price, but this term is generally used when discussing convertibles rather than fin
ryzh [129]

Answer:

False

Explanation:

The strike price is used at the time of trading of the options, while on the other hand the option that could be exercised is when take place when there is a delivery of the stock. Basically it means that the stock that can be predicted value and it is set by the seller of the contract. Also it is to be termed as the convertible bonds, but it should be more used for the option trading

Therefore the given statement is false

3 0
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Thirty thousand six hundred and nine
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