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stira [4]
2 years ago
10

A bond has a Duration (not Modified) of 4.2 years and is priced at 99.50. Its yield is 3%. How much will its price change if the

yield increases to 3.3%? Use this data for the next 2 questions also.
Business
1 answer:
saw5 [17]2 years ago
4 0

Answer:

1.22%

Explanation:

The modified duration of the bond gives an indication of change in price due to a 1% change in the yield to maturity,hence, the bond modified duration is computed using the formula below:

modified duration=Macaulay Duration/(1+YTM)

Macaulay Duration=4.2

YTM(initial)=3%

modified duration=4.2/(1+3%)= 4.08  

That for 1% change in yield to maturity price would change 4.08%

0.3% change in yield(3.3%-3%)= 4.08%*0.3%=1.22%

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3 years ago
A car rental agency rents 220 cars per day at a rate of 28 dollars per day. For each 1 dollar increase in the daily rate, 6 fewe
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The cars should be rented at $34 per day for a maximum income of $6268 per day.

If the daily rental is increased by $x

<u>Then </u>

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Number of cars rented:  

N(x) = (220−6x) and Income: I(x) = (28+x) (220−6x) = 6,610 + 52x−5x^{2} dollars/day.

The maximum will be achieved when the derivative of I (x) is zero.

\frac{dI(x)}{dx} = 52−10x = 0

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For an even dollar rental amount, and increase of $5/day or $6/day will generate the same income.

So

$28+$5 = $33/day

or

$28+$6 = $34/day

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However, $34/day involves renting fewer cars and thus reduced expenses.

Using basic substitution and arithmetic

I(4) = $6,268

<h3>What is Maximum revenue ?</h3>

Maximum revenue is defined as the total maximum amount of revenue of product or service can yield at maximum demand and price.

To calculate maximum revenue, determine the revenue function and then find its maximum value. Write a formula where p equals price and q equals demand, in the number of units.

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Note: This can also come in the category of 'unfair competition' argument as huge economies of scales of well established companies create an unfair environment for nascent industries to compete on a same level.

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