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NeX [460]
3 years ago
8

On December 31, 2020, Flounder Company signed a $1,278,400 note to Culver Bank. The market interest rate at that time was 10%. T

he stated interest rate on the note was 8%, payable annually. The note matures in 5 years. Unfortunately, because of lower sales, Flounder’s financial situation worsened. On December 31, 2022, Culver Bank determined that it was probable that the company would pay back only $767,040 of the principal at maturity. However, it was considered likely that interest would continue to be paid, based on the $1,278,400 loan.
Required:
a. Determine the amount of cash Flounder received from the loan on December 31, 2020.
b. Prepare a note amortization schedule for Culver Bank up to December 31, 2022.
c. Determine the loss on impairment that Culver Bank should recognize on December 31, 2022.
Business
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

All requirements are solved

Explanation:

An amortization schedule is a complete table of periodic loan payments, showing the amount of principal and the amount of interest that comprise each payment until the loan is paid off at the end of its term. Each periodic payment is the same amount in total for each period.

<u>Requirement A</u>

Amount of cash Flounder received from the loan =(1,278,400 x 0.62092) (102,272 x 3.79079)

Amount of cash Flounder received from the loan = 1,181,476    

   

<u>Requirement B</u>

Date           Cash           Interest         Increase in                 Carrying Amount

               Received Revenue     Carrying Amount         of Note

12/31/20                                                                                      1,181,476

12/31/21    102,272         118,148         15,876                       1,197,352

12/31/22   102,272         119,735         17,463                       1,214,815

<u>Requirement C</u>

Loss due to impairment = 1,214,815 - [(767,040 x 0.75131) (102,272 x 2.48685)]          

Loss due to impairment = 384,195    

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You are valuing an investment that will pay you $28,000 per year for the first 4 years, $43,000 per year for the next 12 years,
shepuryov [24]

Answer:

The value of the investment to you today is $441,751.52.

Note: The correct answer is is $441,751.52 but this is not included in the option. Kindly confirm the correct answer again from your teacher.

Explanation:

This can be determined using the following 5 steps:

Step 1. Calculation of today's of $28,000 per year for the first 4 years

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV28,000 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV28000 = Present value or today's value of of $28,000 per year for the first 4 years = ?

P = Annual payment = $28,000

r = Annual discount return rate = 12%, or 0.12

n = number of years = 4

Substitute the values into equation (1) to have:

PV28,000 = $28,000 * ((1 - (1 / (1 + 0.12))^4) / 0.12)

PV28,000 = $85,045.78

Step 2. Calculation of today's of $43,000 per year for the next 12 years

Present value at year 4 can first be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV after 4 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (2)

Where;

PV at 4 = Present value at year 4 = ?

P = Annual payment = $43,000

r = Annual discount return rate = 12%, or 0.12

n = number of years = 12

Substitute the values into equation (2) to have:

PV at 4 = $43,000 * ((1 - (1 / (1 + 0.12))^12) / 0.12)

PV at 4 = $266,358.09

Therefore, we have:

PV43000 = PV at 4 / (1 + r)^n .............................. (3)

Where;

PV43000 = Present value or today's value of of $43,000 per year for the first 12 years = ?

PV at 4 = $266,358.09

r = Annual discount return rate = 12%, or 0.12

n = number of years = 4

Substitute the values into equation (3) to have:

PV43000 = $266,358.09 / (1 + 0.12)^4

PV43000 = $169,275.38

Step 3. Calculation of today's of $69,000 per year for the next 16 years

Present value at year 12 can first be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV after 12 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (4)

Where;

PV at 12 = Present value at year 12 = ?

P = Annual payment = $69,000

r = Annual discount return rate = 12%, or 0.12

n = number of years = 16

Substitute the values into equation (4) to have:

PV at 12 = $69,000 * ((1 - (1 / (1 + 0.12))^16) / 0.12)

PV at 12 = $481,205.04

Therefore, we have:

PV69000 = PV at 12 / (1 + r)^n .............................. (5)

Where;

PV69000 = Present value or today's value of of $69,000 per year for the first 16 years = ?

PV at 12 = $481,205.04

r = Annual discount return rate = 12%, or 0.12

n = number of years = 12

Substitute the values into equation (5) to have:

PV69000 = $481,205.04 / (1 + 0.12)^12

PV69000 = $123,513.35

Step 4. Calculation of today's of $61,000 per year for the next 13 years

Present value at year 16 can first be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV after 16 = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (6)

Where;

PV at 16 = Present value at year 16 = ?

P = Annual payment = $61,000

r = Annual discount return rate = 12%, or 0.12

n = number of years = 13

Substitute the values into equation (6) to have:

PV at 16 = $61,000 * ((1 - (1 / (1 + 0.12))^13) / 0.12)

PV at 16 = $391,836.45

Therefore, we have:

PV61000 = PV at 16 / (1 + r)^n .............................. (7)

Where;

PV61000 = Present value or today's value of of $61,000 per year for the first 13 years = ?

PV at 16 = $391,836.45  

r = Annual discount return rate = 12%, or 0.12

n = number of years = 16

Substitute the values into equation (7) to have:

PV69000 = $391,836.45 / (1 + 0.12)^16

PV69000 = $63,917.01

Step 5. Calculation of the value of the investment to you today

This can be calculated by adding the values above:

PV = PV28,000 + PV43000 + PV69000 + PV69000 = $85,045.78 + $169,275.38 + $123,513.35 + $63,917.01 = $441,751.52

Therefore, the value of the investment to you today is $441,751.52.

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