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mojhsa [17]
3 years ago
13

2000 is deposited into a newly opened fund on January 1, 1999. Another deposit is made into the fund on July, 1 1999. On January

1, 2000, the balance in the fund is 6000. The time-weighted rate of return in 1999 is 8.0% and the dollar-weighted rate of return is 4.8%. Calculate the balance of the fund on July 1, 1999, immediately before the deposit is made. Give your answer rounded to the nearest whole number.
Business
1 answer:
choli [55]3 years ago
3 0

Answer:

$2,080 is the correct answer to the given question .

Explanation:

As mention in the question the deposited  amount of $2000 was in the year the July, 1, 1999 up to the on the January 1, 2000 it means it takes 1/2 year or 6 months.

Time-weighted rate of the return in the year 1999 is the 8.0%

however it has been spent for the six months, it means the 4% in the 6 month

So the cost of the fund before the investment can be determined by

= 2000*1.04

= $2080

Therefore the balance of the fund on the year July 1, 1999= $2080

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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
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Explanation:

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

the domestic supply curve S(p)= 5p⁰°⁵

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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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