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Marrrta [24]
3 years ago
15

Pauline Davis’s charge account statement shows an unpaid balance of $225. The monthly finance is 1.25% of an unpaid balance. Wha

t is the new balance account?
Business
1 answer:
slamgirl [31]3 years ago
3 0

The new account balance would the the unpaid balance (225) plus the interest (unpaid balance multiplied by the interest rate) or (225 X 1.25%).

So the answer would be 225+ (225 X .0125)= new balance

You always pay the interest rate on whatever balance you have remaining on your credit card statement each month.

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3 years ago
What is the future value of this investment at the end of year five if 5.34 percent per year is the appropriate interest (discou
leva [86]

According to Formula:- AFV=PV(1+i)

<h3>How do you calculate the future value of an investment?</h3><h3>The future value formula</h3>

future value = present value x (1+ interest rate)n Condensed into math lingo, the formula looks like this:

FV=PV(1+i)n In this formula, the superscript n refers to the number of interest-compounding periods that will occur during the time period you're calculating for.

FV = $1,000 x (1 + 0.1)5

<h3>What will the future value be at the year's end?</h3>

If the proper interest (discount) rate is 5.34 percent annually, what will the investment be worth at the end of year five?

The present value ($100) plus the value of the interest at the set interest rate (5% of $100, or $5) equal the future value (FV) at the end of a year.

<h3>How is future value compounded annually determined?</h3>

The number of compound periods is exponentiated in formula 9.3, FV=PV(1+i)N. Over the course of five years, the 8% compounded monthly investment generates 60 periods of compound interest, whereas the 8% compounded annual investment generates only five periods.

<h3>How are present and future values determined?</h3>

Main Points

PV = FV/(1 + I n, where PV = present value, FV = future value, I = decimalized interest rate, and n = number of periods, is the formula for calculating present value.

The formula for future value is FV = PV (1 + i)n.

To Know more about future value (FV)

brainly.com/question/15071193

#SPJ4

7 0
2 years ago
Here are returns and standard deviations for four investments. Return (%) Standard Deviation (%) Treasury bills 4.5 0 Stock P 8.
Jlenok [28]

Answer:

a. Standard deviation of the portfolio = 7.00%

b(i) Standard deviation of the portfolio = 30.00%

b(ii) Standard deviation of the portfolio = 4.00%

b(iii) Standard deviation of the portfolio = 21.40%

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Here are returns and standard deviations for four investments.

                                  Return (%)           Standard Deviation (%)

Treasury bills                4.5                                    0

Stock P                          8.0                                   14

Stock Q                        17.0                                  34

Stock R                       21.5                                    26

Calculate the standard deviations of the following portfolios.

a. 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

b. 50% each in Q and R, assuming the shares have:

i. perfect positive correlation

ii. perfect negative correlation

iii. no correlation

(Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)

The explanation to the answer is now provided as follows:

a. Calculate the standard deviations of 50% in Treasury bills, 50% in stock P. (Enter your answer as a percent rounded to 2 decimal places.)

Since there is no correlation between Treasury bills and stocks, it therefore implies that the correlation coefficient between the Treasury bills and stock P is zero.

The standard deviation between the Treasury bills and stock P can be calculated by first estimating the variance of their returns using the following formula:

Portfolio return variance = (WT^2 * SDT^2) + (WP^2 * SDP^2) + (2 * WT * SDT * WP * SDP * CFtp) ......................... (1)

Where;

WT = Weight of Stock Treasury bills = 50%

WP = Weight of Stock P = 50%

SDT = Standard deviation of Treasury bills = 0

SDP = Standard deviation of stock P = 14%

CFtp = The correlation coefficient between Treasury bills and stock P = 0.45

Substituting all the values into equation (1), we have:

Portfolio return variance = (50%^2 * 0^2) + (50%^2 * 14%^2) + (2 * 50% * 0 * 50% * 14% * 0) = 0.49%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.49%)^(1/2) = (0.49)^0.5 = 7.00%

b. 50% each in Q and R

To calculated the standard deviation 50% each in Q and R, we first estimate the variance using the following formula:

Portfolio return variance = (WQ^2 * SDQ^2) + (WR^2 * SDR^2) + (2 * WQ * SDQ * WR * SDR * CFqr) ......................... (2)

Where;

WQ = Weight of Stock Q = 50%

WR = Weight of Stock R = 50%

SDQ = Standard deviation of stock Q = 34%

SDR = Standard deviation of stock R = 26%

b(i). assuming the shares have perfect positive correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 1) = 9.00%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (9.00%)^(1/2) = (9.00%)^0.5 = 30.00%

b(ii). assuming the shares have perfect negative correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = -1

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * (-1)) = 0.16%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (0.16%)^(1/2) = (0.16%)^0.5 = 4.00%

b(iii). assuming the shares have no correlation

This implies that:

CFqr = The correlation coefficient between stocks Q and = 0

Substituting all the values into equation (2), we have:

Portfolio return variance = (50%^2 * 34%^2) + (50%^2 * 26%^2) + (2 * 50% * 34% * 50% * 26% * 0) = 4.58%

Standard deviation of the portfolio = (Portfolio return variance)^(1/2) = (4.58%)^(1/2) = (4.58%)^0.5 = 21.40%

8 0
3 years ago
The balance of Chiaki's average balance checking account at the beginning of the last cycle was $100, and the only transaction f
Ne4ueva [31]
The correct answer is $90
3 0
3 years ago
Read 2 more answers
Palencia Paints Corporation has a target capital structure of 35% debt and 65% common equity, with no preferred stock. Its befor
Arturiano [62]

Answer:

Cost of common equity is 15.7%  and WACC is 7.2%

Explanation:

D1 is  

D1= 2.25 (1+0.05)

The cost of common equity is  

Rs = 2.36/ 22.00 + 5% =0.157= 15.7%

The cost of common equity is weighted average cost of capital (WACC)  

WACC = (0.35) * (0.08) (1- 0.40) + 0 preferred stock+ (0.35) * (0.157)

WACC = 0.03 *0.6 + 0 + 0.054

WACC = 0.018 + 0.054

WACC = 7.2%

4 0
3 years ago
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