Question

On January 1, 20Y8, Crabb & Co. sold land to ASP, Inc. and accepted a two-year, $500,000 face value note as payment. 6% interest is due each December 31. ASP’s market rate of borrowing is 12%. Crabb originally purchased the land for $80,000 in 20Y1. REQUIRED Answer the following questions regarding the exchange. Round all amounts to the nearest whole dollar. 1. Was the note issued at a discount or a premium? Discount 2. What is the fair market value of the land at the date of exchange? $449,297 3. What is the gain or loss on the sale of the land? $369,297 4. How does this transaction affect Crabb & Co.’s balance sheet on the date of the exchange? Please include account names, dollar values, and whether the account increased or decreased.

Answer 1

Answer:

1. Discount

2. $449,298.47

3. $369,298.47 gain

4. land reduces by $80,000, investment increases by $449,298.47, reserves increases by $369,298.47

Explanation:

Question 1

Using the formula below

$Price=\frac{I_{1}}{1+r} +\frac{I_{2}+F}{(1+r)^{2}}$

where

I = interest rate, which is 6% of 500,000 = 30,000

F = Face value, 500,000

r = borrowing cost = 12%

Therefore, the price of the note at the time it was used for payment was

$Price=\frac{30,000}{1.12} +\frac{30,000+500,000}{(1.12)^{2}}$

= $449,298.47.

As the price is lower than the face value of the note, the note was issued at a discount.

Question 2

The fair market value of the note is $449,298.47, the compute price in question 1.

Question 3

The gain/loss on the sale of the land

= sale price - purchase price

= $449,298.47 - 80,000

= $369,298.47.

Question 4

The transaction would affect Crabb & Co's balance sheet as follows.

Asset side:

land reduces by $80,000

investment increases by $449,298.47

Equity & liabilities side:

reserves increases by $369,298.47