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Rina8888 [55]
3 years ago
10

Interest rates on 3-year Treasury securities are currently 1.92%, while 10-year Treasury securities yield 5.62%. If the pure exp

ectations theory is correct, what does the market believe that 7-year Treasury securities will be yielding 3 years from now
Business
1 answer:
FromTheMoon [43]3 years ago
3 0

Answer: 7.24%

Explanation:

From the question, we are told that:

3 years treasury securities have an interest rate = 1.92%

10 years treasury security has an interest rate = 5.62%

Let the 7 year treasury security interest in 3 years be represented by z.

Based on the expectation theory

( 1+1.92%)^3 × (1 + z%)^7 = (1 + 5.62%)^10

(1+0.0192)^3 × (1 + z%)^7 = (1 + 0.0562)^10

(1.0192)^3 (1 + z%)^7 = (1.0562)^10

1.05871(1 + z%)^7 = 1.72767

Divide both side by 1.05871

(1 + z%)^7 = 1.72767/1.05871

(1 + z%)^7= 1.6319

1 + z% = 1.6319^1/7

1 + z% = 1.6319^0.1429

1 + z% = 1.0724

z% = 1.0724 - 1

z% = 0.0724

We then convert the decimal to percentage

z = 7.24%

The market believes that 7-year Treasury securities will be yielding 7.24% in 3 years .

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The cob Douglas production function is given by Q(K,L)=AK^1.4*L^1.6
Alexeev081 [22]

Part a) The Cob Douglas production function is given as:

Q(K,L)=AK^{1.4} L^ {1.6 } .

To show that this function is homogeneous with degree 3, we introduce be a parameter, t.

Q(tK,tL)=A(tK)^{1.4} (tL)^ {1.6 } .

Using properties of exponents, we on tinder:

Q(tK,tL)=At^{1.4}K^{1.4} t^ {1.6 }L^ {1.6 } .

This implies that:

Q(tK,tL)=t^{1.4} \times t^ {1.6 }(AK^{1.4} L^ {1.6 } )

Q(tK,tL)=t^{1.4 + 1.6}(AK^{1.4} L^ {1.6 } )

Simplify the exponent of t to get;

Q(tK,tL)=t^{3}(AK^{1.4} L^ {1.6 } )

Hence the function is homogeneous with degree, 3

Part b) To verify Euler's Theorem, we must show that:

K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L}=3AK^{1.4}L^{1.6}

Verifying from the left:

K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =K(1.4AK^{0.4} L^{1.6}) + L(1.6AK^{1.4} L^{0.6})

K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =1.4(AK^{1.4} L^{1.6}) + 1.6(AK^{1.4} L^{1.6})

K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =(1.4 +  1.6)(AK^{1.4} L^{1.6})

K\frac{\partial Q}{\partial \: K}+L\frac{\partial Q}{\partial \: L} =3(AK^{1.4} L^{1.6})

Q•E•D

8 0
3 years ago
NEED ANSWER ASAP
insens350 [35]

Answer:

a. Mr Smith's orange business because it's a small fraction of the economy

3 0
3 years ago
Net operating income computed under variable costing would exceed net operating income computed using absorption costing if: Mul
klasskru [66]

Answer:

Units sold exceeds units produced

Explanation:

The net operating income under variable costing system is always higher than absorption costing system when units sold exceeds units produced. As variable cost doesn't include fixed manufacturing overhead unlike absorption costing, when the net operating income under it now exceed that of absorption, it's definitely am increase in sales that's responsible for that.

8 0
3 years ago
Suppose that an American-made pair of blue jeans has a price of $80. If the exchange rate is $0.095 = 1 peso, then a Mexican con
Natasha2012 [34]

Answer:

The correct answer is 842.1 Pesos and 941.18 Pesos.

Explanation:

According to the scenario, the given data are as follows:

Price of Jeans = $80

So, if exchange rate is $0.095 = 1 pesos

Then pesos required to buy that jeans can be calculated as follows:

Pesos required = $80 ÷ $0.095

= 842.1 Pesos

And if 1 Pesos = $0.085, then

Pesos required = $80 ÷ $0.085

= 941.18 Pesos

8 0
3 years ago
Cameroon Corp. manufactures and sells electric staplers for $16.10 each. If 10,000 units were sold in December, and management f
Andrej [43]

Answer:

$165,975

Explanation:

The computation of sales budgeted is shown below:-

For computing the  Sales budgeted for February first we need to compute the January and February units.

January = 10,000 + (3% × 10,000)

= 10,000 + 300

= 10,300

February = 10,000 + (3% × 10,300)

= 10,000 + 309

= 10,309

Sales budgeted for February = For February × Each electric staplers

= 10,309 × $16.10

= $165,975

So, for computing the Sales budgeted for February we simply applied the above formula. The option is not available.

3 0
3 years ago
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