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A bank agrees to lend via simple loan $100 today to Thomas. The agreement is based on that the yearly interest rate is 15%. If T

Ede4ka [16]

Answer:

$404,55 (cumulative) or $250 (american)

Explanation:

This explanation considers a cumulative interest rate in the simplest way. And american amortization system. Consider that there is also French and German systems which works differently depending on the way the loan reimbursed

Cummulative Interest Rate:

Consider this:

If Thomas had to return it in one year he would have to return $115 ($100+15%) which is equal to 100*(1+0.15)

Now, at the begining of the second year, his debt is $115, and at the end its $115+15% = 132,25. Which is equal 100*(1+0.15)*(1+0.15), this is equivalent to 100*(1+0.15)^{2}

The general formula for cummulative interest is C(1+i)^{n}

Where

C = is the loan amount [in this case: 100]

i = is the interest rate [in this case: 0.15]

n = is the number of periods until [in this case: 10]

American System

The american system is quite straight forward:

Thomas should pay $15 every year for 10 years, and with the last payment he should pay $115.

This is because in this system Thomas returns the capital (the amount of the loan) at the end; and each year he only pays the interest .

$15*10 + $100 = $250

7 0

3 years ago

A company is selling bonds with a face value of $1,000 to raise money for a plant expansion. The bonds pay a coupon rate of 4% p

Ksivusya [100]

Answer:

10.26%

Explanation:

According to the scenario, computation of the given data are as follow:-

Net sales = $760

Face value of bonds = $1,000

Coupon rate = 4% = $1,000 × 4 ÷ 100

= 40

N = Number of Years = 5 annually = semiannually = 5 × 2

= 10 years

We assume, interest rate = 10% = 0.10

P = Coupon Rate ÷ 2 × (PVIFA,Interest Rate ÷ 2%,No. of Years) + Future Value(PVIF,Interest Rate ÷ 2%, No. of Years)

=$40 ÷ 2 × [1 - 1 ÷ (1 + Interest Rate)N] ÷ Interest Rate + Future Value[1 ÷ (1 + Interest Rate) × N]

=$40 ÷ 2 × [1-1 ÷ (1 + 0.10 ÷ 2)^10] ÷ 0.05 + $1,000 × [1 ÷ (1 + 0.10 ÷ 2)^10]

=$20 × [1 - 1 ÷ (1.05)^10] ÷ 0.05 + $1,000 × [1 ÷ (1.05)^10]

=$20 × [1 -1 ÷ 1.6288946] ÷ 0.05 + $1,000 × [1 ÷ 1.6288946]

= 420 × 7.72173 + $1,000 × 0.613913

= $154.4346 + $613.913

= $768.3476

= $768.35

But the given value is 760, so we assume interest rate = 11%

=$40 ÷ 2 × [1-1 ÷ (1 + Interest Rate)^N] ÷ Interest Rate + Future Value[1 ÷ (1 + Interest Rate)^N]

= $40 ÷ 2 × [1 - 1 ÷(1 + 0.11 ÷ 2)^10] ÷ 0.055 + $1,000 × [1 ÷ (1 + 0.11 ÷ 2)^10]

= $20 × [1 - 1 ÷ (1.055)^10] ÷ 0.055 + $1,000 × [1 ÷ (1.055)^10]

= $20 × [1 - 1 ÷ 1.70814446] ÷ 0.055 + $1000 × [1 ÷ 1.70814446]

= $20 × 7.5376255 + $1,000 × 0.5854306

= $150.75 + $585.43

= $736.18

At the Interest rate of 10% the price is more than $760 and at the Interest rate of 1% the price is less than $760. So the required rate lies in between 10% to 11%.

So required rate

Yield To Maturity = Lower Interest Rate + (Difference Between Interest Rate) × Higher Price - Received Price ÷ Higher Price - Lower Price

= 1 0+( 11 - 10) × $768.35 - $760 ÷ $768.35 - $736.18

= 10 + 1 × $8.35 ÷ $32.17

= 10 + 0.26

= 10.26%

7 0

3 years ago

When town commons were broken up into lots each farmer had to bear all the costs and all the benefits of his choices about how m

sukhopar [10]

When town commons were broken up into private lots each farmer had to bear all the costs and all the benefits of his choices about how many animals to graze

<h3>What is private lots?</h3>

When non-governmental legal entities own property, it is referred to as private property. Private property can be distinguished from collective or cooperative property, which is owned by a collection of non-governmental enterprises, and from public property, which is owned by a state agency.
Capitalism, an economic system based on the private ownership of the means of production, is built on the principle of private property. Different political ideologies draw different distinctions between private and personal property, with socialist perspectives drawing a clear line between the two. Private property is a legal concept that is established and upheld by a nation's political system.

To learn more about Private property with the given link

brainly.com/question/27881320

#SPJ4

4 0

1 year ago

Brendan is a manager in a chocolate factory. His team works on an assembly line; workers fill boxes that come at a fixed rate of

yuradex [85]

Answer:

Brendan is using people-oriented leadership style

Explanation:

Brendan's People-oriented leadership behavior is more likely to have more positive effects in running the affairs of the chocolate factory rather than using automatic feedback system.

6 0

2 years ago

Morrow Corporation had only one job in process during May—Job X32Z—and had no finished goods inventory on May 1. Job X32Z was st

olga2289 [7]

Answer:

Cost of goods sold is $9,620

Explanation:

<em>First step prepare the Cost of Goods Manufactured Account</em>

Direct materials $ 9,100

Direct labor $ 2,800

Manufacturing overhead applied $ 4,800

Total Manufacturing Costs $16,700

Add Opening Work In Process $ 5,800

Less Closing Work In Process $ 0

Cost of Goods Manufactured $22,500

<em>Next we need to calculate the cost of goods sold as follows :</em>

Opening Finished Goods Inventory $0

Add Cost of Goods Manufactured $22,500

Less Closing Finished Goods Inventory ($12,500)

Cost of goods sold $10,000

Less Over-applied Overheads ($380)

Adjusted Cost of goods sold $9,620

Finished Goods Inventory = $22,500 × 100/180

= $12,500

Thus Cost of goods sold is $9,620

4 0

3 years ago