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horrorfan [7]
1 year ago
12

A higher discount rate applied to a given flow of returns in the future (e.g., $5,000 at the end of 5 years, $10,000 at the end

of 10 years, $15,000 at the end of 15 years, etc.) will cause the present value of that flow to _________.
a. remain unchanged if the future dollars do not change.
b. increase
c. decrease
d. change in a direction that cannot be determined in general.
Business
1 answer:
zhannawk [14.2K]1 year ago
8 0

Answer:

The correct option is B,decrease.

Explanation:

In calculating present value , the future value is divided by the discounting factor,hence, the higher the discounting rate, the higher the discounting factor.

Besides,since the relationship between future value and discounting factor is that of numerator-denominator relationship, it would be logical to say the higher the discounting factor , the lower the output of the mathematical operation,present value and vice versa.

From the foregoing, it is very clear a higher discount rate triggers a lower present value and vice versa

You might be interested in
Which of the transactions listed here could be made into a recurring transaction? Select as many as are correct.(Select all that
professor190 [17]

Answer:

An expense, An invoice, An adjusting general entry

Explanation:

Well for the items provided,

Recurring transactions are those transactions which occur almost on a defined intervals. Recurring does not mean regular occurring, but it's occurring period is defined.

Therefore, Recurring Transactions are:

An expense = example monthly fixed payments of salary and wages, rent, utilities.

An invoice = this will be a regular transaction as issuing invoice to customers, is the daily business.

An adjusting general entry = as for like depreciation is fixed monthly,

Note: a customer payment is not recurring as it depends customer to customer as the payment is to be received or not, and at what interval it will be received.

Recurring transactions are:

An expense, An invoice, An adjusting general entry

6 0
1 year ago
Your company wants to set aside a fixed amount every year to a sinking fund to replace a piece of industrial equipment costing $
nika2105 [10]

Answer:

If the company makes 8 deposits, one per year earning 7% per year, in order to get $375000 at the 8 year, the company has to deposit $34,874.16 each year.

Explanation:

To get this number the best option is to use a excel spreadsheet and solver add-in. In a table with 8 columns (8 years), organize the payments and the rule of interest: payment year 1*(1+7%)^8+payment year 2*(1+7%)^7+payment year 3*(1+7%)^6+payment year 4*(1+7%)^5+payment year 5*(1+7%)^4+payment year 6*(1+7%)^3+payment year 7*(1+7%)^2++payment year 8*(1+7%)^1 where all the payments are equal (payment 1=p2=p3...=P8)

4 0
2 years ago
MJ LTD is expected to grow at various rates over the next five years. The company just paid a $1.00 dividend. The company expect
Black_prince [1.1K]

Answer:

$21.859

Explanation:

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

Present Value = D0 × (1 + growth rate)^time ÷ (1 + Required Rate of Return)^time period

1st Year PV = $1 × (1 + 0.20)^1 ÷ (1+ 0.12)^1

                  = 1.20 ÷ 1.12

                 = 1.071

2nd Year PV = $1 × (1 + 0.20)^2 ÷ (1+ 0.12)^2

                   = $1 × (1.44) ÷ 1.254

                  = $1.148

3rd Year PV = $1 × ( 1 + 0.20)^2 × (1 + 0.10) ÷ (1 + 0.12)^3

                    = $1 × (1.44) × (1.10) ÷ 1.405

                     = $1.127

4th Year PV = $1 × ( 1 + 0.20)^2 × (1 + 0.10)^2 ÷ ( 1 +0.12)^4

                    = $1 × (1.44) × (1.21) ÷ 1.574

                     = $1.107

5th Year PV = $1 × (1 + 0.20)^2 × ( 1 +0.10)^3 ÷ (1 + 0.12)^5

                     = $1 × (1.44) × (1.331) ÷ 1.762

                     = $1.088

6th Year PV = $1 × (1 + 0.20)^2 × (1 + .10)^3 × (1.05) ÷ [(0.12 - 0.05) × (1+.12)^5]

= $1 × (1.44) × (1.331) × (1.05) ÷ (0.07) ×  (1.762)

= $2.012 ÷ 0.1233

= $16.318

Now

Share’s Current Value is

= $1.071 + $1.148 + $1.127 + $1.107 + $1.088 + $16.318

= $21.859

We simply applied the above formula

5 0
1 year ago
Consider an 8% coupon bond selling for $953.10 with three years until maturity making annual coupon payments. the interest rates
Andreyy89

Answer:

a) YTM = 9.8%

b) realized compound yield is 9.9%

Explanation:

a) PMT = 80

par value FV = 1000

coupon rate = 8%

curent price PV = 953.1

years to maturity n = 3

Yield to maturity (YTM) = \frac{PMT+(FV-PV)/n}{(FV+PV)/2} = \frac{80+(1000-953.1)/3}{(1000+953.1)/2}= 9.8%

b) r2 = 10% = 100%+10%=1.1

r3 = 12% = 100%+12%=1.12

Realized compound yield:First, find the future value (FV. of reinvested coupons and principal

FV =  ($80 *1.10 *1.12) + ($80 * 1.12) + $1080 = $1268.16

let a be the rate that makes the future value $1268.16

953.1(1+y)³ =$1268.16

(1+y)³=1.33

1+y=1.099

y = 0.099 = 9.9%

5 0
1 year ago
Rath Company provided the following information:
Anit [1.1K]

Answer:

The correct answer is $8,316( Unfavorable) and $10,500 ( Favorable).

Explanation:

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

Actual Variable OH  AH × SVOR              SH × SVOR

$222,816          $57,200×$3.75 = $214,500     $60,000×$3.75 = $225,000

  Variable OH spending variance        Variable OH efficiency variance                                

      $214,500 - $22,816)                              $225,000 - $214,500

    = $8,316( Unfavorable)                            = $10,500 ( Favorable)

Hence, Variable OH spending variance  =  $8,316( Unfavorable)

And Variable OH efficiency variance = $10,500 ( Favorable)

7 0
1 year ago
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