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pochemuha
2 years ago
6

Suppose Community Bank offers to lend you $10,000 for one year at a nominal annual rate of 6.50%, but you must make interest pay

ments at the end of each quarter and then pay off the $10,000 principal amount at the end of the year. What is the effective annual rate on the loan?
Business
1 answer:
Bad White [126]2 years ago
8 0

Answer:

  • <u><em>6.66%</em></u>

Explanation:

The effective annual rate, EAR, of a loan is calculated with the formula:

       EAR=\bigg[1+\dfrac{nominal\text{ }rate}{n}\bigg]^{n}}-1

Where:

  • nominal rate = annual percentage rate = 6.50%
  • n = number of periods = 4

Substituting and computing:

      EAR=\bigg[1+\dfrac{6.50\%}{4}\bigg]^{4}}-1=0.0666

Convert to percentage, multiplying by 100: 6.66%

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b. Computation of capital gains yield on this stock is shown below:-

= Required rate - Dividend yield

= 7% - ($1.20 ÷ $26.67)

= 7% - 0.04499

= 2.50%

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Where do banks get money to lend to borrowers?
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If the domestic demand curve is Equal 20p Superscript negative 0.5​, the domestic supply curve is Equal 5p Superscript 0.5​, and
pishuonlain [190]

Answer:

$52

$ 1.33

  • consumer price will increase
  • consumer surplus will decrease
  • import will decrease
  • reduced export
  • portends gloom for the general outlook for the economy

Explanation:

Given domestic demand curve, S(p) = 20p⁻⁰°⁵

the domestic supply curve S(p)= 5p⁰°⁵

world price is ​$7.00

using  calculus to determine the changes in consumer​ surplus

by consumer surplus means in this case supply exceeds demand

we establish the equilibrium point where the supply and demand functions meet or are equal

solving 20p⁻⁰°⁵ = 5p⁰°⁵

     20/5 = p⁰°⁵/p⁻⁰°⁵

       4 = p⁰°⁵⁺⁰°⁵

      4= p = q which is the quantity produced

     

consumer surplus =  maximum price willing to pay - Actual price

                             = ∫⁴₀  dp dp - p* q

                               =  ∫⁴₀20p⁻⁰°⁵ dp- 7* 4

                              = 20∫⁴₀p⁻⁰°⁵ dp -28

                              = 20/0.5 p⁰°⁵- 28

                              = 40 *4⁰°⁵ - 28 =  $52

producer surplus = it is a measure of producer welfare. It is measured as the difference between what producers are willing and able to supply a good for and the price they actually receive

thus  producer  surplus = p* q - ∫⁴₀  d(s) dp

                                         = 7 * 4 - ∫⁴₀  5p⁰°⁵  dp

                                         = 28 - 5 ∫⁴₀   p⁰°⁵    dp

                                         = 28 -5 *2/3  p¹°⁵  

                                          = 28 -5 *2/3  4¹°⁵

                                          =$ 1.33

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  • import will decrease
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