Chapter III
5. In 27, an enterprise produced 12, pieces of A products, with a production cost of 1.8 million yuan. In that year, 1, pieces were sold at the unit price of 25 yuan/piece, and the annual management expenses were 15, yuan, and the financial expenses were 8, yuan. The sales expenses were 3% of the sales revenue. If the sales tax and surcharges were equivalent to 5% of the sales revenue, the income tax was 25%, and the enterprise had no other income.
v5. Solution:
Total profit
= sales revenue-current production cost-management fee-financial expenses-sales expenses-sales tax and surcharges
= 1x25-18x1/1.2-15-8-1x25x (3%+5%)
= =42.75 (ten thousand yuan)
v6, solution:
v(1) Method I: Discount to starting point
P1+P2 (p/f, I, 5) = A1 (p/a, I, 4)+A2 (p/a, I, 5). 5)
method ii: convert to P2 point
P1 (f/p, I, 5)+P2 = A1 (f/a, I, 4) (f/p, I, 1)+A2 (p/a, I, 5)
P1+P2 (. 5) (P/F, i,5)
P1(F/P, i,5)+P2=A1(F/A, i,4) (F/P, i,1) +A2(P/A, i,5)
v(3)
P1+P2 (P/F, i,5) =A1(P/A, i,4)+A2(P/A, i,5) (P/F, i, 5)
P1 (f/p, I, 5)+P2 = A1 (f/a, I, 4) (f/p, I, 1)+A2 (p/a, I, 5)
V7. A company bought 1, pieces of 1 yuan with an annual interest rate of 1,. Now there is an opportunity to buy a risk-free corporate bond with an annual interest rate of 12% and a maturity of two years. The enterprise intends to sell treasury bonds to buy corporate bonds. What is the minimum selling price of treasury bonds acceptable to the enterprise?
v solution:
suppose the lowest acceptable selling price is x yuan/piece, According to the meaning of the question:
1x1 (1+3x1%) = x (1+2x12%) x1
x = 1 (1+3x1%)/(1+2x12%)
= 14.83 (yuan).
v9. An enterprise has obtained a loan of 1, yuan, with a repayment period of 5 years and an annual interest rate of 1%. Try to calculate the total repayment amount and the present value of the repayment amount in the following four repayment methods.
(1) Repay the principal of 2, yuan and the interest owed at the end of each year;
(2) Only the interest owed is paid at the end of each year, and the principal is paid off in one lump sum at the end of the fifth year;
(3) equal repayment of principal and interest at the end of each year;
(4) Pay off the principal and interest in one lump sum at the end of the fifth year.
v(1) mode: 2x5+(1+.8+.6+.4+.2) = 13,
v(2) mode: 1x1% X5+1 = 15,
v(3) mode: 1 (a/p One is: a sum finally sells for $25,, and it is paid at one time; The other is: it is finally combined with commission, and its specific conditions are: 5, yuan will be paid when signing the contract, and 6% commission will be paid according to the annual sales income of 6, yuan after it is completed and put into production in two years (from the end of the third year to the end of the twelfth year). If the capital interest rate is 1%, what kind of payment method should the company choose from the economic point of view?
v1. Solution:
v One-time payment present value: 25,
v Finally combined with commission payment present value: 5+6× 6% (P/A, 1%, 1) (P/F, 1%, 2)
= 23.28 <; 25
v Therefore, scheme 2 is adopted, that is, the method of royalty and settlement.
v11. An enterprise borrows 2, yuan from a bank on the condition that the annual interest rate is 12%, and the interest is calculated once a month, so as to find the annual real interest rate and the principal and interest to be returned at the end of three years.
v solution:
the number of times of interest calculation is 12, and the nominal interest rate is 12%, so the actual interest rate is
v r * = (1+12%/12) 12-1 = 12.68%
v, so the final payment value is 2 (f/p, r *, 3.
v solution:
PC = 5x (p/a, 1%, 15)+3x (p/f, 1,3)
+3x (p/f, 1%, 6)+3x (p/f, 1%, 9)+
v14. An enterprise plans to purchase a patented technology. It is estimated that the patented technology will generate an annual net income of 28, yuan after use, and the effective use period is 6 years. If the return on investment is 15%, what is the value of the patented technology?
v solution: the present value of the patent value of this technology:
P=28(P/A,15%,6)=28*3.784=16 (1, yuan
v15). At the end of each year, 15 yuan will be deposited in equal amount for 1 consecutive years, and it will be prepared in the 6th, 1th and 11th years.
solution:
15 (p/a, 12%, 1) = x (p/f, 12%, 6)+x (p/f, 12%, 1)
+x (p/f, 12%, 15). 12%, 6)+
(p/f, 12%, 1)+(p/f, 12%, 15)
= 8381 (yuan)
16. A permanent investment project is expected to have an annual net income of 56 million yuan. If the expected return on investment is 12. What is the allowable maximum present value of investment?
Solution:
Vp = 56 (p/a, 12%, ∞)
= 56/12%
= 467 (yuan).