A sum of Rs.5,000 written off as depreciation on furniture has not been debited to depreciation account.

A University is offering a charitable gift program. A former student who is now 50 years old is consider the following offer: Th

xenn [34]

Answer:

The value of this deferred annuity today on his 50th birthday is <u>$2,621.27</u>.

Explanation:

Since the student's desired return of 6% will also start to be paid starting on his 65th birthday, the value of this deferred annuity today on his 50th birthday can be calculated by first calculating the value of the investment on the 65th birthday.

We therefore proceed with the following two steps:

Step 1: Calculation of the value of the investment on the 65th birthday

The value of the investment on the 65th birthday can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

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

Where;

PV at 65 = Present value of the annuity at 65th birthday =?

P = Annuity payment = Invested amount * Student's desired return = $8,900 * 6% = $534

r = Student's desired return rate = 6%, or 0.06

n = number of more years anticipate to live after 65th birthday = 21

Substitute the values into equation (1) to have:

PV at 65 = $534 * ((1 - (1 / (1 + 0.06))^21) / 0.06)

PV at 65 = $534 * 11.764076621288

PV at 65 = $6,282.02

Therefore, the value of the investment on the 65th birthday is $6,282.02.

Step 2: Calculation of the value of this deferred annuity today on his 50th birthday

The value of this deferred annuity today on his 50th birthday can therefore be calculated using the simple present value for as follows:

PV at 50 = PV at 65 / (1 + r)^N …………………………….. (2)

Where;

PV at 50 = the value of this deferred annuity today on his 50th birthday = ?

PV at 65 = Present value of the annuity at 65th birthday = $6,282.02

r = Student's desired return rate = 6%, or 0.06

N = number of years from 50th birthday to 65th birthday = 65 - 50 = 15

Substitute the values into equation (2) to have:

PV at 50 = $6,282.02 / (1 + 0.06)^15

PV at 50 = $6,282.02 / 2.39655819309969

PV at 50 = $2,621.27

Therefore, the value of this deferred annuity today on his 50th birthday is <u>$2,621.27</u>.

5 0

3 years ago

Douglas can afford 240$ a month for five years for a car loan. If the APR is 8.5%, how much can he afford to borrow to purchase

SVETLANKA909090 [29]

Answer:

Douglas can afford 21697.88 to borrow to purchase a car.

Explanation:

As the formula for calculating present value is given as:

PV = PMT * ( (1-(1+r)^-n) / r )

As Douglas can afford 240$ a month for five years for a car loan so

it means that payment = 240 $

As the APR is 8.5% which means after dividing by 12 the rate per month = 8.5%/12

Total number of Months = 5*12

Total number of Months = 60

Putting these values into the above formula, we get

PV = PMT * ( (1-(1+r)^-n) / r )

PV = 240 * ( (1-(1+8.5%/12)^-60) / (8.5%/12) )

PV = 11697.88

As the down payment = 10,000 so the total value of car

= 11697.88+10000

= 21697.88

Douglas can afford 21697.88 to borrow to purchase a car.

8 0

3 years ago

Saint Petersburg Gambles - You are offered the following gamble based on coin flips. If the first heads occurs on the first flip

makkiz [27]

Answer:

The first reason why people are willing to pay so much less or lower than the expected value is due to the uncertainty of flipping a heads. Heads may never be flipped.

The Second reason they are willing to pay so much less or lower is because the expected value will rarely reach over $10 because player would have to make it to the 5th flip in order to recoup their investment in which most of the players are unwilling and ready to take that risk.

Explanation:

Saint Petersburg Gambles

The first reason why people are willing to pay so much less or lower than the expected value is due to the uncertainty of flipping a heads. Heads may never be flipped.

The Second reason they are willing to pay so much less or lower is because the expected value will rarely reach over $10 because player would have to make it to the 5th flip in order to recoup their investment in which most of the players are unwilling and ready to take that risk.

8 0

3 years ago

A company is considering investing in a new machine that requires a cash payment of $38,209 today. The machine will generate ann

navik [9.2K]

Answer:

The IRR is 10%.

Explanation:

a) Calculation of Internal Rate of Return (IRR):

We choose a discount rate, say 10% and use it to discount the cash flows to their present values. If the net present value (NPV) of all the cash flows equals zero, then that discount rate is accepted as the IRR.

b) Without 10% discount rate, the discount factors are for:

1st year = 1.1 (1 + discount rate) raised to power 1

2nd year = 1.21 (1 + discount rate) raised to power 2

3rd year = 1.331 (1 + discount rate) raised to power 3

c) These discount factors will divide the cash inflows for each year:

1st year, NPV = $15,364/1.1 = $13,967.27

2nd year, NPV = $15,364/1.21 = $12,697.52

3rd year, NPV = $15,364/1.331 = $11,543.20

Total NPV of inflows = $38,209 approximately

NPV of outflows -$38,209

NPV of inflows and outflows $0

So, the IRR is 10%.

IRR is a capital budgeting metric to measure profitability by using a discount rate which makes the net present value of all cash flows to become zero. To get a suitable rate, trial and error is involved, or one can make use of educated best guess.

8 0

3 years ago

The following information relates to Payleast Shoes Company. Assuming the company uses the periodic inventory system, solve for

rosijanka [135]

Answer:

A.$75,000

B.$60,000

C.$30,000

D.33%

E.$15,000

F.$3,500

G.$18,000

H.$34,500

I.31%

J.$18,000

K.$116,300

L.$90,300

M.31%

Explanation:

Payleast Shoes Company

2020

1.Net sales = $90,000

2.

Beginning Inventory = $12,000

Add Purchase (Gross) = $70,000

Less Returns/Allowance = $6,000

Less Purchase discounts = $4,000

Add Freight-in = $3,000

Cost of goods available for sale = $75,000

Less End inventory = $15,000

Cost of Sales = $60,000

3. Gross profit = $30,000

4. Gross Profit % = 33%

2021

1.Net sales = $110,000

2.

Beginning Inventory = $15,000

Add Purchase (Gross) = $82,500

Less Returns/Allowance = $5,000

Less Purchase discounts = $2,500

Add Freight-in = $3,500

Cost of goods available for sale = $93,500

Less End inventory = $18,000

Cost of Sales = $75,500

3. Gross profit = $34,500

4. Gross Profit % = 31%

2022

1.Net sales = $130,000

2.

Beginning Inventory = $18,000

Add Purchase (Gross) = $99,000

Less Returns/Allowance = $8,800

Less Purchase discounts = $1,900

Add Freight-in = $10,000

Cost of goods available for sale = $116,300

Less End inventory = $26,000

Cost of Sales = $90,300

3. Gross profit = $39,700

4. Gross Profit % = 31%

4 0

3 years ago