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Lana71 [14]
3 years ago
10

Johan takes out a 20-year mortgage at 4% to buy a house. When he looks at investing in 20-year, fixed-rate Treasuries, which of

the following rates is most likely closest to the coupons on the Treasuries? Select the best answer from the choices provided. 2.2% 7.8% 3.9% 9.2%
Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0
Given that Johan takes-out a 20 year mortgage at 4% to buy a house. If he looks at investing in 20-year, fixed rate Treasuries, the most likely closest to the coupons of the treasuries is 3.8%, this is because any other rates apart from this will lead to an arbitrage opportunity. This means that if the percentage of the coupons are high, Johan may invest his proceeds from mortgage to treasuries and earn risk free interest. The right rate is 3.9%
Otrada [13]3 years ago
5 0

Answer:

3.9%

Step-by-step explanation:

Investing in treasuries is often seeing as a risk free investment since it is sure that they will pay, but the rates are too low, when banks and other finnance corporations set up their mortages and other kinds of large loans interests rates they set them up higher than the fixed rate treasuries since otherwise it´d just be a better deal to put that money on treasuries than lending it to people.

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As of April 2006, roughly 50 million web domain names were registered (e.g., ). How many domain names consisting of just two let
Furkat [3]

Answer:

a) 676, 1296

b) 17576, 46656

c) 456976, 1679616

Step-by-step explanation:

firstly we know that there are 26 letters in the alphabet.

there are 26 ways of choosing the first character and 26 ways choosing the second character,

Therefore, the possible number of domains with two leeter is;

n = 26²

= 26 × 26

= 676

now when the digits are allowed, there are 26 + 10 = 36 characters to be used in total

therefore the possible number of domains with two characters is;

n = 36²

= 36 × 36

= 1296

b)

there are 26 ways of choosing each character

therefore, the possible number of domains with three letters is

n = 26³

= 26 × 26 × 26

= 17576

when the digits are allowed, there are 26 + 10 = 36 characters to be used in total

therefore , the possible number of domains with three characters is;

n = 36³

= 36 × 36 × 36

= 46656

c)

there are 26 ways of choosing each character, therefore the possible number of domains with four letters is;

n = 26⁴

n = 26 × 26 × 26 × 26

n = 456976

when the digits are allowed, there are 26 + 10 = 36 characters to be used in total

therefore, the possible number of domains with four characters is;

n = 36⁴

n = 36 × 36 × 36 × 36

= 1679616

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B2%7D%20" id="TexFormula1" title=" \pi x^{2} " alt=" \pi x^{2} " align="
ANEK [815]

The formule is about area of a circle.

\pi x^{2} = a

We need to solve the equation for x. Where x is the radius of the circle.

In order to solve it for x, we need isolate it for x on left side.

So, first we need to get rid pi from left side.

On dividing both sides by pi, we get

\frac{\pi x^2}\pi}=\frac{a}{\pi}

x^2=\frac{a}{\pi}

Taking square root on both sides, we get

\sqrt{x^2}=\sqrt{\frac{a}{\pi}}

x=\sqrt{\frac{a}{\pi}}


4 0
3 years ago
X+3/2 + (x-1) = 4/5 ​
tester [92]

Answer:

x = \frac{3}{20}

Step-by-step explanation:

Given

x + \frac{3}{2} + (x - 1) = \frac{4}{5}

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

10x + 15 + 10(x - 1) = 8

10x + 15 + 10x - 10 = 8

20x + 5 = 8 ( subtract 5 from both sides )

20x = 3 ( divide both sides by 20 )

x = \frac{3}{20}

3 0
2 years ago
Read 2 more answers
180:60 in its simplest from
kipiarov [429]

Answer:

3:1

You can easily figure out that 60 is a factor of 180 bc 6 is a factor of 18.

So you can simplify it to 18:6

Then divide both sides by 6 and you will get 3:1

Hope this helps ;)

5 0
3 years ago
Read 2 more answers
Find the value of x.
bonufazy [111]

Answer:

61

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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