In: Finance
The rate of interest on Federal government debt borrowed in 2020 is 2.75%. If you borrow $14,618 by the time you graduate and rates stay the same, what will be your monthly payment if you want to pay it off in 8 years?
A stock has a beta of 1.34. The risk free rate is 1.101% and the market risk premium is 5%. What is the fair return on the stock? Answer as a percent. Use at least 2 decimal places in your response. Enter only numbers and decimals.
Calculate monthly payment on debt | ||||
Monthly payment | Present value/((1-(1+r)^-n))/r | |||
r | 0.23% | 2.75%/12 | ||
n | 96 | 8*12 | ||
Calculate monthly payment | ||||
Monthly payment | 14618/(1-(1.0023)^-96)/0.0023 | |||
Monthly payment | 14618/86.08546 | |||
Monthly payment | $169.81 | |||
Thus, monthly payment on loan would be $169.81 | ||||
Calculate fair return on stock using CAPM formula | ||||
Return on stock | Risk free rate + Beta*Market risk premium | |||
Return on stock | 1.101%+(1.34*5%) | |||
Return on stock | 1.101% + 6.7% | |||
Return on stock | 7.80% | |||
Thus, fair return on stock is 7.80% | ||||