You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $450,000 per ye

Answer:

The result is $1000.

Explanation:

Fixed costs are defined as expenses that remain unchanged regardless of the services provided or goods produced.

Following this definition, we can determine that the price of $16 per meal and the $4 ingredient costs are not considered fixed costs. Other expenses like lighting, heating, and fuel fluctuate according to utilization and therefore are variable.

However, the other costs mentioned in the query can be classified as fixed costs since they do not vary with the number of customers or the quantity of food prepared.

Thus, the weekly fixed costs for Bella Capri amount to $250 + $150 + $600 = $1000.

I hope this clarifies your question.

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.

Answer:

a) YTM = 9.8%

b) realized compound yield = 9.9%

Explanation:

a) PMT is 80

par value FV = 1000

coupon rate = 8%

current price PV = 953.1

years to maturity n = 3

Yield to maturity (YTM) is calculated as = = 9.8%

b) r2 = 10% = 100%+10% = 1.1

r3 = 12% = 100%+12% = 1.12

To find the realized compound yield, we first need the future value (FV) of the principal and reinvested coupons.

FV = ($80 * 1.10 * 1.12) + ($80 * 1.12) + $1080 = $1268.16

Let a be the rate at which the future value equals $1268.16.

953.1(1+y)³ = $1268.16

(1+y)³ = 1.33

1+y = 1.099

y = 0.099 = 9.9%

Answer:

An increase in the price of soccer balls.

Explanation:

Soccer balls consist of polyethylene and materials derived from petroleum. An escalation in oil prices will directly raise the costs of soccer balls since the expense of the raw materials has increased.

Kayaks also utilize materials sourced from oil, which is why their prices are on the rise too.

There's a direct correlation between soccer balls and kayaks because both rely on oil for their production.