In: Finance
Finance question:
1.a) Mejia’s grandmother plans on giving him $25,000 at the end of each year for the next 9 years. Assuming a discount rate of 7%, what is the present value of this sum?
b) If Lesly’s grandmother will give him $5,000 at the beginning of each year for the next 10 years, what is the present value of this sum if the discount rate is 10%?
| P = | Periodic Payments | 
| r = | rate of interest | 
| n = | no of periods | 
| Ans 1 a) | |
| Annuity PV Factor (End of Period) = | P [ 1 - ( 1 + r )^-n ] | 
| r | |
| 25000* ( 1 - ((1 / (1 + 7%)^9))) | |
| 7% | |
| 11401.65644 | |
| 0.07 | |
| 162880.81 | |
| Ans 1 b) | |
| Annuity PV Due (Beginning)= | P + ( P [ 1 - ( 1 + r )^-(n-1) ] / r ) | 
| 5000 + 5000 * ( 1 - ((1 / (1 + 10%)^(10-1))))/ (10%) | |
| 33795.12 |