An entrepreneur has 2000 shares. An angel invested $1000 for 1000 shares.  A new investor would have been willing to invest $500 for 1000 shares if there were no ratchet in the first round (a price of $0.50) per share. So the total value of the venture is $2000 and the new investor would own 25% of the value. At what price per share would the new investor be willing to invest if the first-round investor has a full ratchet?

C++ DO not use arrays to write this program.

Write a program that repeatedly generates three random integers in the range [1, 100] and continues as follows:

• If the right-most digit of all the three integers is equal, the program displays them in ascending order on the screen and continues. If the generated integers have different right-most digits, they are not displayed and the program continues. The program terminates once the right-most digits of all the three random numbers are equal to 0. For example, assuming:
  • the first three random integers are: 98, 23, 48
  • the second three random integers are: 45, 5, 75
  • the third three random integers are: 4, 95, 33
  • the fourth three random integers are: 11, 61, 21
  • the fifth three random integers are: 100, 20, 40 ---------> The program terminates as all the three numbers end with 0

The output will be:

5, 45, 75

11, 21, 61

20, 40, 100

Please notice that all the numbers are not displayed at the end of the program. Every line is displayed in one iteration and the last line is displayed in the last iteration of your loop.

• If the very first set of numbers generated all end with zero, for example, the first three integers are: 50, 40, 10, after the program shows these three numbers in ascending order, it also displays: "... are your lucky numbers."

So, the output would be:

10, 40, 50 are your lucky numbers.

California College

Discount Bonds

Discount bonds such as Treasury bills have no stated interest rate. They are sold at a discount from face value, F. The yield or nominal interest rate is the percentage increase above the purchase price, P. The yield, i, is found as

                i = ((F – P)/P) * 100

You multiply by 100 to convert the decimal to a percentage.

An example:

Assume F = 1000 and P = 950 for a 1-year discount bond. Its yield is

         ((1000-950)/950)*100

         = (50/950)* 100

         = (0.0526) * 100

         = 5.26%

1. For a 1-year discount bond, if F =1000 and P = 950, the yield is

___5.26%________?

2. For a 1-year discount bond, if F =2000 and P = 1950, the yield is

____2.56%________?

3. If a one-year $10,000 discount bond has a yield of 5%, its price is ___$95281_______?

(Hint, find the present value of the bond using its yield.)

4. If a two-year discount bond has a face value of $5000 and a yield of 3%, its price is __________?

Rate of Return

5. If a bond has a current yield of 4% and a capital gain of 3%, its rate of return is _______?

6. If a bond has a current yield of 6% and a rate of return of 4%, it has a _____ capital gain or loss.

7. If a bond has a 2% rate of return and a capital loss of 4%, its current yield is ________?

Real and Nominal Interest Rates

8. If the nominal interest rate is 3% and expected inflation is -1%, the real interest rate is ___________?

9. If the nominal interest rate is 6%, the expected rate of inflation is 5% and the actual rate of inflation is 3%, the ex post real interest rate is __________?

10. If the expected rate of inflation is 4% and the ex ante real interest rate is 4%, the nominal interest rate is _______?

You are considering a project that costs $500 to invest in today, and will pay you $100 next year, $50 in two years, and $100 in three years. The cash inflow will grow at a constant rate of 3% per year after year 3, and you will receive cash inflows for 25 years (total including the first three CFs). Your discount rate is 14%. What is the NPV of the project? Also, what would the NPV be if the cash inflows continued forever? Show your work.

You are considering a project that costs $500 to invest in today, and will pay you $100 next year, $50 in two years, and $100 in three years. The cash inflow will grow at a constant rate of 3% per year after year 3, and you will receive cash inflows for 25 years (total including the first three CFs). Your discount rate is 14%. What is the NPV of the project? Also, what would the NPV be if the cash inflows continued forever? Show your work.

Hereford Company is planning to introduce a new product with an 80 percent learning rate for production for batches of 1,000 units. The variable labor costs are $30 per unit for the first 1,000-unit batch. Each batch requires 100 hours. There are $10,000 in fixed costs not subject to learning.

What is the cumulative total time using the incremental unit-time learning curve to produce 2,000 units?

Select one:

a. 180

b. 100

c. 90

d. 80

You are considering a project that costs $500 to invest in today, and will pay you $100 next year, $50 in two years, and $100 in three years. The cash inflow will grow at a constant rate of 3% per year after year 3, and you will receive cash inflows for 25 years (total including the first three CFs). Your discount rate is 14%. What is the NPV of the project? Also, what would the NPV be if the cash inflows continued forever? Show your work

On an intelligence​ test, the mean number of raw items correct is 233 and the standard deviation is 39. What are the raw​ (actual) scores on the test for people with IQs of​ (a) 120​, ​(b) 87​, and​ (c) 100​? To do this​ problem, first figure the Z score for the particular IQ​ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. ​(b) What is the raw​ (actual) score on the test for people with an IQ of 87​?