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masha68 [24]
3 years ago
7

Emily's trust fund has a value of 100,000 on January 1, 1997. On April 1, 1997, 10,000 is withdrawn from the fund, and immediate

ly after this withdrawal the fund has a value of 95,000. On January 1, 1998, the fund's value is 1 15,000. There is also a 5000 deposit to the fund on July 1, 1997.(a) Find the dollar-weighted annual rate of investment return for the fund, assuming simple interest.(b) Find the rate of return for Emily's fund using simple interest and assuming a uniform distribution throughout the year of all deposits and withdrawals.(c) Is it possible to calculate the time-weighted rate of return? If not, why not?
Business
1 answer:
mafiozo [28]3 years ago
4 0

Answer:

(a) Dollar Weighted Rate of return = 0.27

(b) Simple interest-based rate of return = (115000- 100000)/ 100000 = 0.15

(c) Since, the data or investment portfolio of Emily is of one year, we can calculate the money weighted rate of return but time weighted rate of return couldn’t be calculated.

Explanation:

For (a) Dollar Weighted Rate of return = 0.27

<em>Calculations:</em> 115000 = ((-10000) *(1 + r) ^ ((365-90)/365)) + 100000*(1+r)

So, using calculator we found r= 0.27  

Here we’ve equated the value of portfolio at Jan 1, 1998 with Value of portfolio on Jan 1, 1997 and using the formula for money weighted average rate of return we’ve found the rate of return. Since, we are taking annual money weighted average rate of return, so we don’t include the value of July cash flow, i.e. $5000.

For (b) Simple interest-based rate of return = (115000- 100000)/ 100000 = 0.15  

Since, the distribution of deposits and withdrawals is uniform, so it is simply the newer value minus original value divided by the original value and is most likely to percentage calculation.

(c) Since, the data or investment portfolio of Emily is of one year, we can calculate the money weighted rate of return but time weighted rate of return couldn’t be calculated.

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0 i.e. zero

Explanation:

The formula we will us to calculate the cash option payout​ for formula for calculating the present value (PV) .

Present value (PV) can simply be described as the current value of a future amount or future stream of cash flows given a certain return rate.

To calculate the PV of a future cash flow, we will discount it by using the discount rate.

The formula is provided as follows:

PV = FV/(1 + r)^n ............................................ (1)

Where,

PV = Present Value = ?

r = discount rate = 66% = 0.66

FV = annual future value = $863,636.36

n = number of years = 2222 years

Note that the annual future value calculated by diving the $1919 million by 2222 years and this give us $863,636.36 (i.e.  1,919,000,000 ÷ 2222 = $863,636.36).

Substituting the figures above into equation (1), we obtain:

PV = 863,636.36/(1 + 0.66)^2222

     = 863,636.36/(1.66)^2222

     = 863,636.36/∞

PV = 0

This is because, the division of any number by infinity is equal to zero. And if we multiply by zero by 2222, it will still give us zero PV.

Therefore, the cash option payout​ will be zero. It is better the winner take the option of collecting $863,636.36.

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At Haddon, Inc., the office workers are employed for a 40-hour workweek and are paid on either an annual, monthly, or hourly bas
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Answer:

Employee        Salary          Hrs. Worked        Cumulative Taxable

                                                                         Wages as of Last Pay Period

King, M.      $135,200 (year)     40                  $132,600.00

Manera, E.     $6,500 (month)  40                  $76,500.00

Tate, S.          $3,900 (month)  48                  $45,900.00

Yee, L.            $12.50 (hour)     44.5               $27,675.13

Diaz, R.           $12.50 (hour)     48                  $14,778.96

Zagst, J.          $14.50 (hour)     52                  $24,703.02

(a) regular earnings,  

King, M. $135,200 / 52 weeks = $2,600    

Manera, E. $1,500 weekly salary    

Tate, S. $900      

Yee, L. $12.50 x 40 = $500        

Diaz, R. $12.50 x 40 = $500        

Zagst, J. $14.50 x 40 = $580

(b) overtime earnings,

King, M. $0    

Manera, E. $0  

Tate, S. [($900 / 40) x 8 x 1.5] = $270      

Yee, L. $12.50 x 4.5 x 1.5 = $84.38        

Diaz, R. $12.50 x 8 x 1.5 = $150                  

Zagst, J. $14.50 x 12 x 1.5 = $261

(c) total regular and overtime earnings,

King, M. $2,600    

Manera, E. $1,500  

Tate, S. $1,170      

Yee, L. $584.38        

Diaz, R. $650                  

Zagst, J. $841

(d) FICA taxable wages (the FICA taxes limit for 2020 is $137,700, so everyone will be taxed)

King, M. $2,600    

Manera, E. $1,500  

Tate, S. $1,170      

Yee, L. $584.38        

Diaz, R. $650                  

Zagst, J. $841

(e) FICA taxes to be withheld

King, M. $2,600 x 7.65% = $198.90    

Manera, E. $1,500 x 7.65% = $114.75      

Tate, S. $1,170 x 7.65% = $89.51          

Yee, L. $584.38 x 7.65% = $44.71            

Diaz, R. $650 x 7.65% = $49.73                      

Zagst, J. $841 x 7.65% = $64.34    

(f) net pay for the week ended

King, M. $2,600 - $198.90 = $2,401.10    

Manera, E. $1,500 - $114.75 = $1,385.25      

Tate, S. $1,170 - $89.51 = $1,080.49          

Yee, L. $584.38 - $44.71 = $539.67            

Diaz, R. $650 - $49.73 = $600.27                      

Zagst, J. $841 - $64.34 = $776.66    

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