In: Finance
1. Your father paid $10,000 (CF at t = 0) for an investment that promises to pay $750 at the end of each of the next 6 years, then an additional lump sum payment of $10,250 at the end of the 5th year. What is the expected rate of return on this investment?
| a. | 
 6.75%  | 
|
| b. | 
 8.65%  | 
|
| c. | 
 22.39%  | 
|
| d. | 
 7.84%  | 
|
| e. | 
 6.53%  | 
2. What is the value of the following cash flow stream at the
end of Year 2 at a rate of 10.0%?
| 
 Years:  | 
 0  | 
 1  | 
 2  | 
 3  | 
| 
 CFs:  | 
 $750  | 
 $2,450  | 
 $3,175  | 
 $5,400  | 
| a. | 
 $10,866.57  | 
|
| b. | 
 $10,777.50  | 
|
| c. | 
 $11,686.59  | 
|
| d. | 
 $7,749.11  | 
|
| e. | 
 $10,907.56  | 
| Ans 1) | We have to use financial calcualtor to solve this | |||||||
| put in calculator | ||||||||
| Fv | 10250 | |||||||
| PV | -10000 | |||||||
| PMT | 750 | |||||||
| N | 6 | |||||||
| Compute I | 7.84% | |||||||
| Ans is option d) | 7.84% | |||||||
| Ans 2) | ||||||||
| We have to move all the cash flow at 2nd year end value using future value and present value formula | ||||||||
| i | ii | iii=i+ii | ||||||
| Year | Cash flow | Future value | Present value | Value at year 2 | ||||
| 0 | 750 | 907.50 | =750*(1+10%)^2 | 907.5 | ||||
| 1 | 2450 | 2695.00 | =2450*(1+10%)^1 | 2695 | ||||
| 2 | 3175 | 3175.00 | =3175 | 3175 | ||||
| 3 | 5400 | 4,909.09 | 5400/(1+10%) | 4909.091 | ||||
| 11686.59 | ||||||||
| Ans is option c) = | 11,686.59 |