In: Finance
If you insulate your office for $16,000, you will save $1,600 a year in heating expenses. These savings will last forever. a. What is the NPV of the investment when the cost of capital is 5%? 10%? ... b. What is the IRR of the investment? (Enter your answer as a whole percent.) IRR= ?? % c. What is the payback period on this investment? Payback Period= ?? Years
| a. | ||||||||||
| NPV-5% | $ 16,000 | |||||||||
| NPV-10% | 0 | |||||||||
| Working: | ||||||||||
| NPV-5%: | ||||||||||
| Present Value of savings | $ 1,600 | / | 5% | = | $ 32,000 | |||||
| Less: Initial Cost | $ 16,000 | |||||||||
| NPV | $ 16,000 | |||||||||
| NPV-10%: | ||||||||||
| Present Value of savings | $ 1,600 | / | 10% | = | $ 16,000 | |||||
| Less: Initial Cost | $ 16,000 | |||||||||
| NPV | 0 | |||||||||
| b. | ||||||||||
| IRR | 10% | |||||||||
| IRR is the rate at which NPV is zero.At 10%, NPV is zero.So, IRR is 10%. | ||||||||||
| c. | ||||||||||
| Payback period | 10 Years | |||||||||
| Working: | ||||||||||
| Payback period | = | Initial Costs / Annual Saving | ||||||||
| = | $ 16,000 | / | $ 1,600 | |||||||
| = | 10 | Years | ||||||||