1. Compute: (show your work)
a. Compute the present values of the following ordinary annuities.
| Payment | Years | Interest Rate | Present Value |
| $678.09 | 7 | 13% | |
| $7,968.26 | 13 | 6% | |
| $20,322.93 | 23 | 4% |
b. Compute the future values of the following ordinary annuities.
| Payment | Years | Interest Rate | Future Value |
| $123 | 13 | 13% | |
| $4,555 | 8 | 8% | |
| $74,484 | 5 | 10% |
| a) | Present value | |
| $ 2,998.93 | =678.09*(1-(1/(1+13%)^7))/13% | |
| $ 70,540.48 | =7968.26*(1-(1/(1+6%)^13))/6% | |
| $ 301,934.55 | =20322.93*(1-(1/(1+4%)^23))/4% | |
| b) | Future value | |
| $ 3,688.12 | =123*((1+13%)^13-1)/13% | |
| $ 48,449.84 | =4555*((1+8%)^8-1)/8% | |
| $ 454,732.27 | =74484*((1+10%)^5-1)/10% |
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