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mote1985 [20]
3 years ago
7

It is May 18, 2017. You have a $10,000 semi-annual bond with a coupon rate of 10.375% which matures May 5, 2044. The bond is pri

ced to yield 13.500%, the duration is 7.81 years, and the convexity is 99.87 years squared. Using a duration estimate only, we predict that if market yields increase by 50 basis points then the price of this bond will decrease by _________ % (percent, rounded three places after the decimal)
Business
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

-3.91%.

Explanation:

The Duration Adjustment (% change in bond price) is given by:

= (Duration) * (Change in yield in %)

= -(7.81) x (0.5%)

= -3.91%

The Convexity Adjustment is given by:

= 0.5 * Convexity *  (Change in yield, as a fraction)^2

= 0.5 * 99.87 * (0.005)^2

= 0.5 * 99.87 * 0.000025

= 0.001248375

= 0.0012%

Thus, the convexity correction is 0.0012%

Thus, the total change in bond price = -3.91% + 0.0012% = -3.91%.

You might be interested in
JKL Insurance Company reported the following information on its accounting statements last year:
sdas [7]

Answer:

1. $90, 000, 000/ $100, 000, 000

= 0.9  

2. $5, 000, 000 + $30, 000, 000 / $10, 000, 000

= 3.5

3. = ($90, 000, 000 + $5, 000, 000 + $30, 000, 000) / $100, 000, 000

= 1.25

= $10, 000, 000 / $90, 000, 000

= 0.1111

5.. = ($5, 000, 000 + $30, 000, 000 + $90, 000, 000) / $100, 000, 000 + $10, 000, 000

= 1.136

Explanation:

1. Loss ratio is the losses an insurer incurs due to paid claims as a percentage of premiums earned. A loss ratio is the difference between an insurance company's premiums compared to how much it pays out in claims

This is the formula to calculate the loss ratio:

The ratio is calculated by dividing the amount of premiums by the amount of premiums collected.

A low ratio means the insurance company is profitable. A high ratio means the company is less profitable. If the ratio is 1 or 100%, that means that the company is unprofitable.

JKL’s loss ratio:

Premiums written: $90, 000, 000

Premiums earned: $100, 000, 000

$90, 000, 000/ $100, 000, 000 = 0.9  : 1

2. Expense ratio measures how much of a fund's assets are used for administrative and other operating expenses. An expense ratio is determined by dividing a fund's operating expenses by the average dollar value of it assets (the total market value of the investments that a person or entity manages on behalf of clients.

JKL’s Expenses Ratio:  

            =    Total Fund Expenses / Total Fund Assets

            =     $5, 000, 000 + $30, 000, 000 / $10, 000, 000

            =      3.5  : 1

3. Combined Ratio:  measures an insurer’s profitability. it is merely a combination of the loss ratio and expense ratio. It measures the losses and expenses incurred in relation to the premiums earned.

JKL’s Combined Ratio:  

= ($90, 000, 000 + $5, 000, 000 + $30, 000, 000) / $100, 000, 000

= 1.25  : 1

4. Investment Ratio: is the ratio that an insurer uses in order to measure the company’s net investments to its premiums earned. The ratio compares the income from investments to income from its other activities. This ratio is also a measure of profitability.

= $10, 000, 000 / $90, 000, 000

= 0.1111  : 1

5. Overall Operating Ratio: this is the ratio that a insurer to show his profitability realized before taxation, taking into account investment income.

= ($5, 000, 000 + $30, 000, 000 + $90, 000, 000) / $100, 000, 000 + $10, 000, 000

= 1.136  : 1

7 0
3 years ago
Suppose a third firm enters the market. If they all don't cheat, then they split the profits three ways so that each firm gets 2
dmitriy555 [2]

Answer: Harder to sustain cooperation

Explanation:

When the number of firms in an oligopolistic market increases as is the case here, cooperation becomes harder because profits become smaller so companies start to become more selfish.

Also in this scenario, the cheating firm has the incentive to do so because the profit is so much higher than sharing so companies will always be looking to cheat in order to make this profit. The other firms would reply by reducing prices and all of them would suffer.

7 0
3 years ago
Online Analytical Processing (OLAP) is included in many Business Intelligence (BI) software applications. We use this OLAP for a
Mumz [18]
Yes I think is b hope it’s works
6 0
3 years ago
24. Armin is trying to decide whether to buy a season pass to his college basketball team’s 20 home games this season. The cost
aksik [14]

Answer:

13 Home games

Explanation:

A season pass cost for home games =$175

Individual ticket per game    =$14

For season pass to be less than  total home game tickets  

i.e $175 must be than ($14 X Homegames )  

i.e 175 = 14XHG

    HG=   175/14=12.5 Approx. 13 games

    Total cost of 13 games is ($13X14)=$182. {$175 is less that $182}

Ardim must attend 13 games.

8 0
3 years ago
Which type of Financial Aid am I? I am given to students who come from lower-income families and I do not need to be repaid. *
Bas_tet [7]
Grant. A grant, is a form of financial aid that doesn’t have to be repaid.
8 0
3 years ago
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