Financial Math Answers

A P50,000 debt is to be repaid at the end of one year. The debtor establishes a sinking

fund that earns 8% interest compounded quarterly. Construct a sinking fund

schedule.

A fruit processor manufactures and sales a single product.the company's total sales, variable cost and fixed cost are $ 60000, $420000 and $150000 respectively. if the unit sellin\sqrt(g) price is $40. calculate the breakeven point the unit sold and total revenu.

Alcantara, Budoy, and Dinoy have equities in a partnership of 600,000, 900,000, and 500,000, respectively, and share profits and losses in a ratio of 2:1:2, respectively. The partners have agreed to admit Ledda to the partnership. 

Required: Prepare the journal entries to record the admission of Ledda to the partnership under each of the following: 

1. Ledda invested 500,000 for 30%, and bonus is recorded for Ledda. 

2. Ledda invested 750,00 for a one-fifth interest, and bonus is recorded for the old. 

eric deposits $3,200 at 5.73% interest compounded continuously for 6 years what is the ending balance

Using exponential functions. You take out Php 20,000 loan at a 5% interest rate compounded anually. How much will you owe after 10 years?

Three friends Alice(A), Bob(B), and Charlie(C) are planning to buy a TV.

TV’s are available in all sizes (size is the diagonal length of the display in

inches). Each friend i has a private valuation of the form

v_i(x) = a_ix − x^3/36

for a TV of size x, where i ∈ {A, B, C}

(a)

Use the VCG mechanism to decide which size of the TV should be

bought. Describe the size as a function of a_A, a_B, a_C.

(b)

Compute the payments for each friend under the VCG mechanism in

the situation where Alice has a_A = 10, Bob has a_B = 40, and Charlie

has a_C = 50.

Given the demand function for computer as p=2400-0.5Q determine the coefficient of point of elasticity of demand when p=1800

Conrad's employer offers graded vesting plan. Every year after the first year, vesting increases 10% with a 2.5% multiplier. If Conrad's three-year average salary was $67,453, and he left after the fourth year, what will his benefit be?

a. $2,023.59 b. $5,058.98 c. $2,698.12 d. $6,745.30

Which would result in the need for a larger monthly deposit to a retirement account with the same ending balance?

a. half the number of years before the money is withdrawn from the account b. half the interest rate

Jon's average salary over the last 3 years was $78,291. He worked at the company for 4 years so was 60% vested in his retirement plan. If his multiplier is 2.21% and his pension plan was based on the final 3 salary years, what is his annual pension?

a. $2,760.37 b. $4,152.55 c. $20,762.77 d. $62,632.80

Alicia makes $52,000 per year. Her company offers a 401(k) retirement plan in which they will match 50% of her contributions up to 10% of her salary. She can make contributions up to a maximum of 25% of her salary. Alicia only wants to contribute an amount equal to her employer's maximum contribution to her account. How much should she contribute monthly?

a. $216.67 b. $1,083.33 c. $108.33 d. $433.33