Problem #1 —Sam Jones operates a small hot-dog stand that offers hot dogs, French fries, soft drinks, coffee, tea, and chips. He

The following journal entry is detailed below: Cash A/c Dr $4,100, Equipment A/c Dr $23,000, Furniture A/c Dr $47,000, To Account payable $16,000, and To Rodriguez's Capital $58,100. This entry reflects that all adjustments have been recorded, with the remaining balance credited to Rodriguez's Capital. The calculation for the remaining balance is as follows: Cash A/c + Equipment A/c + Furniture A/c - Accounts payable = $4,100 + $23,000 + $47,000 - $16,000 equals $58,100.

Response:

a) $639,610.76

b) $422,923.12

c) $0.00

d) $875,351.49

Clarification:

a) What deposit amount should she make today?

To determine this, we utilize the formula for calculating the present value of an ordinary annuity as follows:

PV = P × [{1 - [1 ÷ (1+r)]^n} ÷ r] …………………………………. (1)

Where;

PV = Amount to be deposited today =?

P = annual withdrawal = $95,000

r = interest rate = 4% = 0.04

n = total years = 8

Substituting the values into equation (1) provides:

PV = $95,000 × [{1 - [1 ÷ (1 + 0.04)]^8} ÷ 0.04]

PV = $95,000 × 6.73274487495041

PV = $639,610.76

Thus, she needs to deposit approximately $639,610.76 today.

b) What will the account balance be right after the third $95,000 withdrawal?

Note: Refer to Part A from the attached Excel document for this calculation.

This will show the ending balance at Year 3, which indicates $422,923.12.

c) What will the account balance be after all withdrawals, including the last one in 8 years?

Note: Also refer to Part A from the attached Excel document for this calculation.

The result will be the final balance at Year 8, showing $0.00.

d) Now, if you opt to drop out of school today and forgo all withdrawals while retaining your aunt’s deposit in the account accruing at 4.00%, what would your total be at the end of 8 years?

Note: See Part B from the attached Excel document for this calculation.

The total will be the closing balance at Year 8, which indicates $875,351.49.

The substantial amount arises because no withdrawals are made each year, allowing the principal to accumulate interest annually on the final balance.

It indicates a financial advantage of $18,800 for accepting the offer. Kleffman Corporation currently produces part X31 with an annual output of 2,000 units. According to their accounting data, the production costs at this level are as follows: DM $6.90, DL $4.90, V MO $8.00, Supervisor $2.20, Depreciation $1.40, General $2.80, totaling $26.20 per unit. The unavoidable cost amounts to $2.80 x 2,000 units = $5,600. The depreciation is treated as a sunk cost, reflecting no cash flow impact on the business. Making the part internally results in a total expenditure of $52,400. The potential opportunity cost associated with generating an additional segment margin of $18,800 comes into play. The total cost aligns at $71,200 against the purchase cost of $23.40 x 2,000 = $46,800. The unavoidable cost remains at $5,600, resulting in a total of $52,400 when taken into account. Thus, the differential is computed as 71,200 - 52,400 = 18,800.

Answer:

Net Present Value = $ 34,310.45  

Explanation:

The Net Present Value (NPV) represents the difference between the present value of cash inflows and outflows. A positive NPV indicates a favorable investment decision, while a negative value suggests otherwise.

NPV of a project

NPV = Present Value of Cash inflows - Present Value of Cash outflow  

The cash inflow is characterized as an annuity.

Present Value of annuity= A × 1 - (1+r)^(-n)/r  

A refers to Annual cash flow, - 65,000, r is the discount rate at 12%, and the term is 5 years.

Calculation for Present Value of cash inflow equals 65,000 × (1 - (1.12)^(-5)/0.12) =  234,310.45.

The initial investment is 200,000.

Thus, the Net Present Value calculation is  -  234,310.45  -200,000 = 34,310.45  

Net Present Value = $ 34,310.45  

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