## Answers

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Q 9-12 | a) present value with 8% interest rate | ||||||||

i | ii | iii | iv=iii*i | v=iii*ii | |||||

Year | Cash flow A | Cash flow B | PVIF @ 8% | Present value A | Present value B | ||||

1 | 100 | 300 | 0.9259 | 92.59 | 277.78 | ||||

2 | 400 | 400 | 0.8573 | 342.94 | 342.94 | ||||

3 | 400 | 400 | 0.7938 | 317.53 | 317.53 | ||||

4 | 300 | 100 | 0.7350 | 220.51 | 73.50 | ||||

Present value | 1200 | 1200 | 973.57 | 1,011.75 | |||||

Present value | |||||||||

Cash stream A | 973.57 | ||||||||

Cash stream B | 1,011.75 | ||||||||

a) present value with 0% interest rate | |||||||||

With zero percent interest rate present value will be same as sum of cash flow | |||||||||

Present value | |||||||||

Cash stream A | 1,200.00 | ||||||||

Cash stream B | 1,200.00 | ||||||||

Q 9-13 | we have to use financial calculator to solve this problem | ||||||||

Put in calculator for each of compounding scenarios. | |||||||||

Annually | semiannually | Quarterly | Monthly | ||||||

PV | -500 | -500 | -500 | -500 | |||||

I | 12% | 6% | 3% | 1% | |||||

PMT | 0 | 0 | 0 | 0 | |||||

N | 5 | 10 | 20 | 60 | |||||

Compute FV | $881.17 | $895.42 | $903.06 | $908.35 | |||||

Q 9-14 | we have to use financial calculator to solve this problem | ||||||||

Put in calculator for each of compounding scenarios. | |||||||||

Annually | semiannually | Quarterly | Monthly | ||||||

FV | 500 | 500 | 500 | 500 | |||||

I | 12% | 6% | 3% | 1% | |||||

PMT | 0 | 0 | 0 | 0 | |||||

N | 5 | 10 | 20 | 60 | |||||

Compute PV | ($283.71) | ($279.20) | ($276.84) | ($275.22) | |||||

therefore present value = | $283.71 | $279.20 | $276.84 | $275.22 |

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