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lidiya [134]
3 years ago
13

Sheldon just joined a new gym and signed up for a one-year membership. Membership fees can be paid in 12 monthly payments of $60

, due at the beginning of each month or in one payment today. If the appropriate interest rate is 10%, how much should he pay today for the annual membership
Business
1 answer:
mestny [16]3 years ago
4 0

Answer: $688.17

Explanation:

He has to pay $60 every month on the first day or a lump sum.

The lump sum will be the present value of monthly payments.

This is a stable Cashflow and so is an Annuity and because it is done on the first day of the month it is an Annuity due.

Calculating present value of annuity due is;

= Annuity + Annuity (( 1 - ( 1 + r) ^ -(n - 1)) / r)

= 60 + 60 (( 1 - ( 1 + 0.833%)-¹¹) / 0.833%) )

=60 + 60* 10.4695

= $688.17

Note: interest rate must be divided into 12 to make it monthly rate.

=10%/12

= 0.833%

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Fordon Corporation purchased a piece of equipment for $50,000. It estimated a 8-year life and $2,000 salvage value. At the end o
svet-max [94.6K]

Answer:

Revised Depreciation charge per year is $2,200

Explanation:

Revised Depreciation can be calculated in 3 steps:

<u>Step 1:</u> Annual Depreciation charge of Equipment using initial estimate

Depreciation charge = (Cost of Asset – Salvage Value) / Useful life

Depreciation charge = ($50,000 - $2,000) / 8 years = $6,000 per year

<u> </u>

<u>Step 2:</u> Calculate Net Book Value of Equipment at the end of year 4

Cost of Asset:                                                                            $50,000

Less: Accumulated Depreciation of 4 Years ($6,000 x 4):    ($24,000)

Net Book Value:                                                                    $26,000

<u> </u>

<u>Step 3:</u> Calculate Revised Depreciation charge using the revised useful life

Revised Depreciation charge = (Net Book Value of Asset at the end of Year 4  – New Salvage Value) / Revised Useful life

Revised Depreciation charge = ($26,000 - $4,000) / 10 Years = $2,200 per year

6 0
3 years ago
570,000. The firm will raise the $570,000 in capital by issuing $230,000 of debt at a before-tax cost of 11.1%, $20,000 of prefe
exis [7]

Answer:

WACC = 12.040%

Explanation:

WACC represents weighted average cost of all sources of financing. In the question there are three sources of finance 1) Equity 2) Preferred Stock 3) Debt.

1) Equity: The firm intends to raise $ 320,000 from equity out of total financing of $ 570,000 e.g. 56% of total financing comes from Equity. Thus multiplying the cost of equity 14.7% (given) with ratio of equity financing, we get to weighted average cost of equity of 8.253%.

2) Debt: The firm is raising $ 230,000 from debt e.g. 40% of total financing. The proportion of debt is multiplied by post tax cost of debt as the interest expense is deductible expense for tax purposes in most of the jurisdiction. Therefore we reduce the cost of debt with element of (1 - tax rate), thus we get to 8.325% = 11.1 (1 - 25%) as total cost of debt. In order to get weighted average cost of debt we multiply this post tax cost of debt with ratio of debt financing 40%, thus weighted average cost of debt is 8.325 * 40% = 3.359%

3) Preferred Stock: The firm is also raising finance from preferred stock having cost of 12.2%. Proportion of financing from preferred stock is 4% in total mix of financing, thus weighted average cost of preferred stock is 12.2% * 4% = 0.428%.

Now adding weighted average cost of all three sources of funding, we get WACC: 8.253% + 3.359% + 0.428% = 12.040%

3 0
3 years ago
Which of the following is an inequality or equation that expresses a restriction in a mathematical model?a. Decision variableb.
vichka [17]

Answer:

Constraint

Explanation:

The meaning of a constraint is a guideline which has a place with recommended limits and there are four primary sorts of imperatives which are the money saving advantage relationship, materiality, industry practices, and conservatism, and these requirements are likewise bookkeeping rules which fringe the chain of importance of subjective

7 0
3 years ago
Oriole Company has the following budgeted sales: January $210000, February $260000, and March $220000. 40% of the sales are for
statuscvo [17]

Answer: The total expected cash receipts during March is $232000.

Explanation:

Given that,

Budgeted sales in January = $210000

Budgeted sales in February = $260000

Budgeted sales in March = $220000

40% of sales are for cash and rest 60% are on credit

Total cash receipts during march = cash sales in the month of march + Credit sales in the month of February + Credit sales in the month of march

= 40% of 220000 + 260000 × 60% × 50% + 220000 × 60% × 50%

= 88000+78000+66000

= $232000

Therefore, the total expected cash receipts during March is $232000.

6 0
3 years ago
A buyer has decided to offer $335,000 for a home that she really likes. The bank will loan her 80% of the purchase price for 30
RUDIKE [14]

Answer:

We have:

Amount of principal = $268,000

Interest payment = $1,522.24

Explanation:

These can be calculated as follows:

Loan principal = Cost of the home * Percentage to borrow = $335,000 * 80% = $268,000

Interest payment = (Loan principal / $1,000) * $5.68 = ($268,000 / $1,000) * $5.68 = 268 * $5.68 = $1,522.24

Therefore, we have:

Amount of principal = $268,000

Interest payment = $1,522.24

5 0
3 years ago
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