In: Finance
Your required rate of return on bond is 17% what is the maximum amount you will pay for R10 000 bond that pays quarterly compound rate of 12% and has 5 years to maturity
| No of periods = 5years x 4 quarters = 20 periods | |||||||
| Interest per period = 12%/4 = 3% | Interest amt = 10,000 x 3% = 300 | ||||||
| DF @ 17% per quarter = 17%/4 = 4.25% | |||||||
| Compunding period | Cash Flow | DF @ 4.25% | Cash flow x PV | ||||
| 1 | 300 | 0.959 | 287.77 | ||||
| 2 | 300 | 0.920 | 276.04 | ||||
| 3 | 300 | 0.883 | 264.78 | ||||
| 4 | 300 | 0.847 | 253.99 | ||||
| 5 | 300 | 0.812 | 243.64 | ||||
| 6 | 300 | 0.779 | 233.70 | ||||
| 7 | 300 | 0.747 | 224.18 | ||||
| 8 | 300 | 0.717 | 215.04 | ||||
| 9 | 300 | 0.688 | 206.27 | ||||
| 10 | 300 | 0.660 | 197.86 | ||||
| 11 | 300 | 0.633 | 189.79 | ||||
| 12 | 300 | 0.607 | 182.06 | ||||
| 13 | 300 | 0.582 | 174.64 | ||||
| 14 | 300 | 0.558 | 167.52 | ||||
| 15 | 300 | 0.536 | 160.69 | ||||
| 16 | 300 | 0.514 | 154.14 | ||||
| 17 | 300 | 0.493 | 147.85 | ||||
| 18 | 300 | 0.473 | 141.82 | ||||
| 19 | 300 | 0.453 | 136.04 | ||||
| 20 | 300 | 0.435 | 130.50 | ||||
| 20 | 10,000 | 0.435 | 4,349.89 | ||||
| Total PV | 8,338.20 | ||||||
Maximum amount to be paid is R8,338.2