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ladessa [460]
3 years ago
12

The real risk-free rate of interest, k*, is 4 percent, and it is expected to remain constant over time. Inflation is expected to

be 2 percent per year for the next four years, after which time inflation is expected to remain at a constant rate of 5 percent per year. The maturity risk premium is 0% for securities with maturities of 1 year or less, 0.1% in year 2, and increases by 0.1% per year thereafter. What is the yield on a 10-year Treasury bond
Business
1 answer:
Elenna [48]3 years ago
4 0

Answer:

8.3%

Explanation:

Real risk - free rate of interest ( k* ) = 4%

Inflation for next four ( 4 ) years = 2% per year

Inflation rate after four years = 5%

maturity risk premium =  0.1 ( t - 1 )%

<u>Determine Yield on a 10-year Treasury bond </u>

t = bond's maturity

Yield = Real risk - free rate + maturity risk premium + inflation rate

Inflation rate for 10 years = ( 4  + 30 ) / 10  ) % = 3.4%

Yield = 4% + 0.1(10- 1)% + 3.4

         = 4% + 0.9% + 3.4%

         = 8.3%

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How much would $100, growing at 5% per year, be worth after 75 years? a. $4,077.43 b. $4,281.30 c. $3,883.27 d. $3,689.11 e. $4,
Zielflug [23.3K]

Answer:

The answer is c. $3,883.27

Explanation:

For the problem, we will be using the formula for calculating the Future Value of money, which is:

F= P(1+r)^{n}

Where:

F - future value

P - Principal amount = ($100)

r - rate of growth in percent = (5% or 0.05)

n - number of years = (75)

We calculate thus:

F = 100(1 + 0.05)^{75}

F = 100(1.05)^{75}

F = 100  X  38.8327

F = 3,883.27

therefore the amount after 75 years will be $3,883.27

5 0
3 years ago
With respect to engineering economics and the internal rate of return (IRR), Descartes’ rule of signs indicates there will be at
Alika [10]

Answer:

''there will be at most as many POSITIVE rates...''

Explanation:

The measure of investments' rate of return which excludes external factors such as inflation is known as Internal Rate of Return(IRR)

It is used in;

(1). Savings and loans.

(2). Liabilities

(3). Fixed incomes

(4). Private equity and capital management.

(5). Maximizing total present value and so on.

It can be calculate using the formula below:

NPV= C(n)/(1+r)^n = 0

That is internal rate of return can be use in solving NPV = 0.

Therefore, 'With respect to engineering economics and the internal rate of return (IRR), Descartes’ rule of signs indicates there will be at most as many POSITIVE rates of return as there are sign changes in the cash flow profile.''

4 0
4 years ago
Alternative A Alternative B Materials costs $28,000 $64,000 Processing costs $34,000 $34,000 Equipment rental $11,000 $28,500 Oc
stira [4]

Answer:

$61,600

Explanation:

The differential cost analysis is an analysis in which the costs of two alternatives is taken into consideration and based on those costs it is decided that which alternative is suitable in terms of increment that has been lost by other alternative. That is why it is also known as alternative cost. To calculate the differential cost, it is simple, subtract the cost of 1st alternative from the 2nd and you will get the differential cost. Basically this tool helps in decision making when deciding to choose between two alternatives.

In the question we have been asked to find the differential cost of Alternative B over Alternative A, including all of the relevant costs. To do that first we need to find the differential costs among all the relevant costs and then sum all the differences to find the differential cost of Alternative B over Alternative A.

(a)

Differential Cost of Alternative B over Alternative A is;

Materials costs =  $64,000 - $28,000 = $36,000

Processing costs =  $34,000 - $34,000 = $0

Equipment rental =  $28,500 - $11,000 = $17,500

Occupancy costs = $27,600 - $19,500 = $8,100

(b)

Now the Total Cost which is Differential Cost of Alternative B over Alternative A is;

$36,000 + $0 + $17,500 + $8,100

$61,600

6 0
3 years ago
Joe wants to be able to purchase a dream car on January 1,2004, just after he graduates from college. Joe has had a part time jo
Bad White [126]

Answer:

FV= $46,031.45

Explanation:

Giving the following information:

Monthly deposit= $450

Number of months= 59

Interest rate= 0.21/12= 0.0175

To calculate the final value, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {450*[(1.0175^59) - 1]} / 0.0175 + 450

FV= $46,031.45

5 0
4 years ago
The expected rate of return for a stock whose next dividend is "DIV1", that has a required rate of return "r" and expects to gro
Tema [17]

Answer:

The correct answer is r=(DIV1/P0)+g

Explanation:

The expected rate of return for a stock is usually the dividend yield  added to capital gains yield.

Dividend yield is the percentage of the share's price that the company pays to shareholders as dividends and the formula is the dividends divided by the share price, hence in this scenario it DIV1/PO

On other hand,capital gains yield is the percentage increase of the share price over time. In other words, the share price growth rate,which is a market expectation of the company's performance.The g given in the question depicted this.

Without mincing words,the expected rate of return on the stock is dividends yield(DIV1/P0) plus the capital gains yield(g)

6 0
3 years ago
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