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svp [43]
2 years ago
11

Suppose you invest $1000 at an interest rate of 6%, compounded annually. Calculate the equivalent interest rate under continuous

compounding (find the interest rate r that would give the same result if interest were compounded continuously). Hint: You can consider the situation for 1 year (let t=1).
Business
1 answer:
Vikki [24]2 years ago
8 0

Answer:

The equivalent interest rate under continuous compounding is 5.8%

Explanation:

Annual compounding

A = P(1+r)^n

P = $1,000

r = 6% = 0.06

n = 1 year

A = 1000(1+0.06)^1 = 1000(1.06) = $1060

Continuous compounding

A = Pe^rt

A = $1060

P = $1000

t = 1 year

1060 = 1000e^r

e^r = 1060/1000 = 1.06

e^r = 1.06

r = ln 1.06 = 0.058 = 5.8%

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To encourage employee ownership of the company's common shares, KL Corp. permits any of its employees to buy shares directly fro
Norma-Jean [14]

Answer:

$22,500

Explanation:

KL Corp

Cash ($15×$10,000 85%) $127,500

Compensation expenses ($15×$10,000×15%) $22,500

Common stock ($15×$10,000) $150,000

Therefore KL will record compensation expense associated with the May purchases of $22,500

3 0
3 years ago
a. Business receives $3,000 on January 1 for 10-month service contract for the period January 1 through October 31. (When the ca
stiks02 [169]

<u>Solution:</u>

Deffered revenue means when an organization receives the payment prior to the goods delivered to conusmer. In the given case, business receives $3000 on 1, January for ten month service (From january to October).

<u>The revenue per month needs to be calculated:</u>

Revenue per month = Revenue for ten months divided by Total number of months

By putting the figures we get,

Revenue per month = $3000 divided by 10 = $300 per month

An adjusting entry needs to be passed:        

Date             Particulars                                debit                  credit  

31st jan        Unearned Revenue                 $300

                       Service Revenue                                              $300

( Service revenue that has been collected in advance)                      

7 0
3 years ago
Alt Corp. issues 5,000 shares of $10 par value common stock at $14 per share. When the transaction is recorded, increases are ma
HACTEHA [7]

Answer:

c. Common Stock $50,000 and Paid-in Capital in Excess of Par Value $20,000.

Explanation:

The journal entry for issuance of the common stock for cash is shown below:

Cash A/c Dr $70,000

        To Common stock $50,000 (5,000 shares × $10)

        To Additional paid in capital A/c - Common stock A/c $20,000

(Being the common stock is issued for cash)

While recording this entry it increased the assets so the cash account is debited while at the same time it also increased the common stock for $50,000 and the additional paid in capital in excess of par value i.e $20,000 so both these account are credited

8 0
3 years ago
You deposit​ $5,000 per year at the end of each of the next 25 years into an account that pays​ 8% compounded annually. How much
Volgvan

Answer:

The correct answer is A. $18,276

Explanation:

First you have to calculate how much you'd end up having at the end of the 25 years period in your savings account.

You calculate the total amount saved for each year, using the formula:

S_{n} = S_{n-1} *(1+r)+D

Where

S_{n} is the total amount in the savings account for this period.

S_{n-1} is the total amount in the savings account from the previous period.

ris the interest rate.

Dare the annual deposits being made into the savings account.

Therefore for the first year you'd do:

S_{1} = S_{0} *(1+r)+D

S_{1} = 0*(1+0.08)+5000=5000

For the second year:

S_{2} = S_{1} *(1+r)+D

S_{2} = 5000*(1+0.08)+5000=10400

And so on. You can help yourself calculate the value of this series using programs like Excel.

I have attached an Excel file that has a table with the savings values for each of the 25 years.

So, the 25th year you’ll have $365,529.70 in your savings account. Now you simply divide this number by 20 (that will be the number of years you’ll be withdrawing the same dollar amount from your savings account):

Withdrawals = 365,529.70/20=18,276.485

In conclusion, you’d be able to withdraw $18,276.485 each year for the following 20 years after the 25th deposit, if all withdrawals are the same dollar amount.

Download xlsx
3 0
3 years ago
Alfred, an architect at Abode Inc., uses the term "spatial organization" while communicating to his client. The client is unable
vlabodo [156]

Answer:

Jargon

Explanation:

Based on the scenario being described within the question it can be said that the term "spatial organization" exemplifies Jargon. This term refers to any and all specialized terminology associated with a specific field or area of expertise. It is usually used between individuals of the same field who understand the word's meaning in a certain context, since those outside of the field may not understand it.

4 0
2 years ago
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